3
Highly Oscillatory Problems: Computation, Theory and Application
http://sms.cam.ac.uk/collection/34
High oscillation pervades a very wide range of applications: electromagnetics, fluid dynamics, molecular modelling, quantum chemistry, computerised tomography, plasma transport, celestial mechanics, medical imaging, signal processing. It has been addressed by a wide range of mathematical techniques, inter alia from asymptotic theory, harmonic analysis, theory of dynamical systems, theory of integrable systems and differential geometry. The computation of highly oscillatory problems spawned a large number of different numerical approaches and algorithms. The purpose of this programme is to foster research into different aspects of high oscillation – the theoretical, the computational and the applied – from a united standpoint and to promote the synergy implicit in an interdisciplinary activity.
Read more at: http://www.newton.ac.uk/programmes/HOP/
1440
2014
Mon, 03 Feb 2014 11:54:21 +0000
Tue, 24 Jul 2007 15:31:53 +0100
en
smssupport@uis.cam.ac.uk
Highly Oscillatory Problems: Computation, Theory and Application
http://sms.cam.ac.uk/collection/34
http://rss.sms.cam.ac.uk/itunesimage/1393664.jpg
http://video.search.yahoo.com/mrss
Highly Oscillatory Problems: Computation, Theory and Application
High oscillation pervades a very wide range of applications: electromagnetics, fluid dynamics, molecular modelling, quantum chemistry, computerised tomography, plasma transport, celestial mechanics, medical imaging, signal processing. It has been addressed by a wide range of mathematical techniques, inter alia from asymptotic theory, harmonic analysis, theory of dynamical systems, theory of integrable systems and differential geometry. The computation of highly oscillatory problems spawned a large number of different numerical approaches and algorithms. The purpose of this programme is to foster research into different aspects of high oscillation – the theoretical, the computational and the applied – from a united standpoint and to promote the synergy implicit in an interdisciplinary activity.
Read more at: http://www.newton.ac.uk/programmes/HOP/
Highly Oscillatory Problems: Computation, Theory and Application
High oscillation pervades a very wide range of applications: electromagnetics, fluid dynamics, molecular modelling, quantum chemistry, computerised tomography, plasma transport, celestial mechanics, medical imaging, signal processing. It has been addressed by a wide range of mathematical techniques, inter alia from asymptotic theory, harmonic analysis, theory of dynamical systems, theory of integrable systems and differential geometry. The computation of highly oscillatory problems spawned a large number of different numerical approaches and algorithms. The purpose of this programme is to foster research into different aspects of high oscillation – the theoretical, the computational and the applied – from a united standpoint and to promote the synergy implicit in an interdisciplinary activity.
Read more at: http://www.newton.ac.uk/programmes/HOP/
Cambridge University
Steve Greenham
http://sms.cam.ac.uk/collection/34
Highly Oscillatory Problems: Computation, Theory and Application
20070724T15:31:53+01:00
INIMS
101092
no

A multiscale method for stiff ordinary differential equations with resonance
ucs_sms_34_181
http://sms.cam.ac.uk/media/181
A multiscale method for stiff ordinary differential equations with resonance
Liu, H (Texas at Austin)
Thursday 29 March 2007, 15:3016:15
Fri, 27 Jul 2007 09:21:19 +0100
108
Liu, H
Isaac Newton Institute
Liu, H
a4d9158f869d51897829031fb32af7ec
ed3f5e5ca0c6833551f6d0112b1835d3
fb277ef868c29785c82a16063a5197de
5ffa5d7682417784e29cd4fcfd7ca057
Liu, H (Texas at Austin)
Thursday 29 March 2007, 15:3016:15
Liu, H (Texas at Austin)
Thursday 29 March 2007, 15:3016:15
Cambridge University
2784
http://sms.cam.ac.uk/media/181
A multiscale method for stiff ordinary differential equations with resonance
Liu, H (Texas at Austin)
Thursday 29 March 2007, 15:3016:15
We introduce a multiscale method to compute the effective behavior of a class of stiff and highly oscillatory ODEs. The oscillations may be in resonance with one another and thereby generate some hidden slow dynamics. Our method relies on correctly tracking a set of slow variables whose dynamics is effectively closed, and is sufficient to approximate the effective behavior of the ODEs. This set of variables is found by our numerical methods. We demonstrate our algorithms by a few examples that include a commonly studied problem of Fermi, Pasta, and Ulam (FPU).
20140203T11:54:07+00:00
2784
181
true
4x3
false
no

A new transform method and some of its numerical implementations
ucs_sms_34_1071234
http://sms.cam.ac.uk/media/1071234
A new transform method and some of its numerical implementations
Fokas, T (University of Cambridge, UK)
Thursday 16 September 2010, 10:0011:00
Mon, 20 Sep 2010 17:06:39 +0100
108
Fokas, T
Steve Greenham
Isaac Newton Institute
Fokas, T
c425075dd868e1dfe87c69d25152d01f
775cd865ed68e58caf96be32f140dd1d
ae8417459c917c17e38f93d8d154a670
Fokas, T (University of Cambridge, UK)
Thursday 16 September 2010, 10:0011:00
Fokas, T (University of Cambridge, UK)
Thursday 16 September 2010, 10:0011:00
Cambridge University
3745
http://sms.cam.ac.uk/media/1071234
A new transform method and some of its numerical implementations
Fokas, T (University of Cambridge, UK)
Thursday 16 September 2010, 10:0011:00
20140203T11:54:21+00:00
3745
1071234
true
16x9
false
no

A Numerical Algorithm for Advancing Slow Features in FastSlow Systems without Scale Separation  A Young Measure Approach
ucs_sms_34_1069911
http://sms.cam.ac.uk/media/1069911
A Numerical Algorithm for Advancing Slow Features in FastSlow Systems without Scale Separation  A Young Measure Approach
Titi, E (Weizmann Institute of Science, IL)
Monday 13 September 2010, 10:0011:00
Fri, 17 Sep 2010 15:04:17 +0100
Titi, E
Steve Greenham
Isaac Newton Institute
Titi, E
bbc73f723466ddaf820e1b49d3a39f48
a2c03a010777fb854deb23a3afd50fc1
39fdb2376282c11a85398fb6f6352931
Titi, E (Weizmann Institute of Science, IL)
Monday 13 September 2010,...
Titi, E (Weizmann Institute of Science, IL)
Monday 13 September 2010, 10:0011:00
Cambridge University
3486
http://sms.cam.ac.uk/media/1069911
A Numerical Algorithm for Advancing Slow Features in FastSlow Systems without Scale Separation  A Young Measure Approach
Titi, E (Weizmann Institute of Science, IL)
Monday 13 September 2010, 10:0011:00
20100917T15:04:21+01:00
3486
1069911
true
16x9
false
no

An Effective Finite Difference Approach for Optical Beam Propagations
ucs_sms_34_1071591
http://sms.cam.ac.uk/media/1071591
An Effective Finite Difference Approach for Optical Beam Propagations
Sheng, Q (Baylor University, US)
Thursday 16 September 2010, 17:3018:00
Tue, 21 Sep 2010 09:59:46 +0100
Sheng, Q
Steve Greenham
Isaac Newton Institute
Sheng, Q
864ab6233e71ed3c2e82359a3ceaac23
05953ef8b7448111370eac13b403f5f5
7905e6de8c8982d4f79c52b06a2d07a7
Sheng, Q (Baylor University, US)
Thursday 16 September 2010, 17:3018:00
Sheng, Q (Baylor University, US)
Thursday 16 September 2010, 17:3018:00
Cambridge University
1670
http://sms.cam.ac.uk/media/1071591
An Effective Finite Difference Approach for Optical Beam Propagations
Sheng, Q (Baylor University, US)
Thursday 16 September 2010, 17:3018:00
20100921T09:59:50+01:00
1670
1071591
true
16x9
false
no

Analysis of splitting methods for reactiondiffusion equations in the light of stochastic calculus
ucs_sms_34_824
http://sms.cam.ac.uk/media/824
Analysis of splitting methods for reactiondiffusion equations in the light of stochastic calculus
Faou, E (Rennes)
Thursday 22 March 2007, 16:0017:00
Tue, 11 Mar 2008 16:10:43 +0000
Faou, E
Isaac Newton Institute
Faou, E
ce4f4a46f4c79c5ecf50b7e924569eba
36656d43bfc73b68bb19de8de86a1fa9
e4498ae195a086966c48b667ad79bb25
3c23aab21536d1033558999b8da6812e
Faou, E (Rennes)
Thursday 22 March 2007, 16:0017:00
Faou, E (Rennes)
Thursday 22 March 2007, 16:0017:00
Cambridge University
3215
http://sms.cam.ac.uk/media/824
Analysis of splitting methods for reactiondiffusion equations in the light of stochastic calculus
Faou, E (Rennes)
Thursday 22 March 2007, 16:0017:00
20130415T12:25:46+01:00
3215
824
true
4x3
false
no

Approximate energy conservation for symplectic time semidiscretizations of semilinear wave equations
ucs_sms_34_803
http://sms.cam.ac.uk/media/803
Approximate energy conservation for symplectic time semidiscretizations of semilinear wave equations
Wulff, C (Surrey)
Wednesday 28 March 2007, 14:0014:30
Mon, 25 Feb 2008 13:03:42 +0000
Wulff, C
Isaac Newton Institute
Wulff, C
808ca38af4d0b592cc9d98c7e72a99d4
4e4cd12db475b2e9963715a880cce700
8558a8044420a65e3590c90681ef2bfa
a8045995172f57e194f1e2046f61bbe4
Wulff, C (Surrey)
Wednesday 28 March 2007, 14:0014:30
Wulff, C (Surrey)
Wednesday 28 March 2007, 14:0014:30
Cambridge University
1945
http://sms.cam.ac.uk/media/803
Approximate energy conservation for symplectic time semidiscretizations of semilinear wave equations
Wulff, C (Surrey)
Wednesday 28 March 2007, 14:0014:30
We prove that Astable symplectic RungeKutta time semidiscretizations applied to semilinear wave equations with periodic boundary conditions, analytic nonlinearity and analytic initial data conserve a modified energy p to an exponentially small error. This modified energy is O(h^p)close to the original energy where p is the order of the method and h the timestepsize. Standard backward error analysis can not be applied because of the occurrence of unbounded operators in the construction of the modified vectorfield. This loss of regularity in the construction can be taken care of by projecting the PDE to a finitedimensional space and by coupling the number of excited modes as well as the number of terms in the expansion of the vectorfield with the stepsize. This way we obtain exponential estimates of the form O(\exp(C/ h^(1/2) )). A similar technique has been used for averaging of rapidly forced Hamiltonian PDEs by [Matthies and Scheel, 2003]. As a sideproduct, we also provide a convergence analysis of RungeKutta methods in Hilbert spaces.
Related Links
* http://www.maths.surrey.ac.uk/personal/st/C.Wulff/  homepage of C. Wulff
20130415T12:25:36+01:00
1945
803
true
4x3
false
no

Approximation by plane waves
ucs_sms_34_1070867
http://sms.cam.ac.uk/media/1070867
Approximation by plane waves
Moiola, A (ETH Zurich, CH)
Wednesday 15 September 2010, 11:3012:00
Mon, 20 Sep 2010 12:14:10 +0100
Moiola, A
Steve Greenham
Isaac Newton Institute
Moiola, A
059c1e327b70a7df7df8302efb231a13
a387fda819cccb76646a19956d99f193
ec15fbbb906147f70693cd0db52b06e6
Moiola, A (ETH Zurich, CH)
Wednesday 15 September 2010, 11:3012:00
Moiola, A (ETH Zurich, CH)
Wednesday 15 September 2010, 11:3012:00
Cambridge University
2021
http://sms.cam.ac.uk/media/1070867
Approximation by plane waves
Moiola, A (ETH Zurich, CH)
Wednesday 15 September 2010, 11:3012:00
20100920T12:14:14+01:00
2021
1070867
true
16x9
false
no

Asymptotics for the CamassaHolm equation
ucs_sms_34_795
http://sms.cam.ac.uk/media/795
Asymptotics for the CamassaHolm equation
Boutet de Monvel, A (Paris 7)
Wednesday 28 March 2007, 15:3016:15
Thu, 21 Feb 2008 18:09:34 +0000
Boutet de Monvel, A
Isaac Newton Institute
Boutet de Monvel, A
139a149444ff6b530ff7391c74d842a3
3f51a04b224abfd0796897de6b4e70ac
8f26617c865ca20075f88823a5091732
43a1c6b0e89fe312bc2dbf9e2a8118e6
Boutet de Monvel, A (Paris 7)
Wednesday 28 March 2007, 15:3016:15
Boutet de Monvel, A (Paris 7)
Wednesday 28 March 2007, 15:3016:15
Cambridge University
2685
http://sms.cam.ac.uk/media/795
Asymptotics for the CamassaHolm equation
Boutet de Monvel, A (Paris 7)
Wednesday 28 March 2007, 15:3016:15
I will present recent results on asymptotic behaviors for the Camassa–Holm (CH) equation ut  utxx + 2?ux + 3uux = 2uxuxx + uuxxx on the line, ? being a nonnegative parameter.
Firstly, I will describe the longtime asymptotic behavior of the solution u? (x, t), ? > 0 of the initialvalue problem with fast decaying initial data u0(x). It appears that u? (x, t) behaves differently in different sectors of the (x, t)halfplane. Then I will analyse the behavior of u? (x, t) as ? 0.
The methods are inverse scattering in a matrix RiemannHilbert approach and Deift and Zhou’s nonlinear steepest descent method.
Work in collaboration with Dmitry Shepelsky.
20130415T12:25:23+01:00
2685
795
true
4x3
false
no

Beyond the adiabatic approximation: exponentially small coupling terms
ucs_sms_34_801
http://sms.cam.ac.uk/media/801
Beyond the adiabatic approximation: exponentially small coupling terms
Teufel, S (Tuebingen)
Wednesday 28 March 2007, 11:3012:15
Mon, 25 Feb 2008 10:05:11 +0000
Teufel, S
Isaac Newton Institute
Teufel, S
35a84067c7a1807c61296a1229843fc8
6e76c13fa07d12e214c91c3ed34aa385
583a1b1e5695d969bed94a7ed0a56d5a
638c689eab1b90f256a90198aab25552
Teufel, S (Tuebingen)
Wednesday 28 March 2007, 11:3012:15
Teufel, S (Tuebingen)
Wednesday 28 March 2007, 11:3012:15
Cambridge University
2674
http://sms.cam.ac.uk/media/801
Beyond the adiabatic approximation: exponentially small coupling terms
Teufel, S (Tuebingen)
Wednesday 28 March 2007, 11:3012:15
For multilevel timedependent quantum systems one can construct superadiabatic representations in which the coupling between separated levels is exponentially small in the adiabatic limit. We explicitly determine the asymptotic behavior of the exponentially small coupling term for generic twostate systems with realsymmetric Hamiltonian. The superadiabatic coupling term takes a universal form and depends only on the location and the strength of the complex singularities of the adiabatic coupling function. First order perturbation theory for the Hamiltonian in the superadiabatic representation then allows to describe the timedevelopment of exponentially small adiabatic transitions and thus to rigorously confirm Michael Berry’s predictions on the universal form of adiabatic transition histories (Joint work with V. Betz from Warwick).
Related Links
* http://www.maphy.unituebingen.de/members/stte  Authors Webpage
20130415T12:25:12+01:00
2674
801
true
4x3
false
no

Bloch DecompositionBased Gaussian Beam Method for the Schrodinger equation with Periodic Potentials
ucs_sms_34_1071309
http://sms.cam.ac.uk/media/1071309
Bloch DecompositionBased Gaussian Beam Method for the Schrodinger equation with Periodic Potentials
Hao, W (University Paul Sabatier, FR)
Thursday 16 September 2010, 14:3015:00
Mon, 20 Sep 2010 17:41:03 +0100
Hao, W
Steve Greenham
Isaac Newton Institute
Hao, W
29c2179c9867f8176a8fc7852d59b00c
9e5f4ee90068640dbe5d77607ff92365
83be53c4b6bbea9b05bc1fcdcc401fd1
Hao, W (University Paul Sabatier, FR)
Thursday 16 September 2010, 14:3015:00
Hao, W (University Paul Sabatier, FR)
Thursday 16 September 2010, 14:3015:00
Cambridge University
1760
http://sms.cam.ac.uk/media/1071309
Bloch DecompositionBased Gaussian Beam Method for the Schrodinger equation with Periodic Potentials
Hao, W (University Paul Sabatier, FR)
Thursday 16 September 2010, 14:3015:00
20100920T17:41:06+01:00
1760
1071309
true
16x9
false
no

Coercivity of boundary integral operators in high frequency scattering
ucs_sms_34_1071677
http://sms.cam.ac.uk/media/1071677
Coercivity of boundary integral operators in high frequency scattering
Spence, E (University of Bath, UK)
Friday 17 September 2010, 10:4011:10
Tue, 21 Sep 2010 10:42:44 +0100
Spence, E
Steve Greenham
Isaac Newton Institute
Spence, E
e2c83faab2fcc5cedba8c4c6e3660af3
dd56617c4f4d2bf573b67a6a89514169
38d6e93c173c7e47784703146869dd7a
Spence, E (University of Bath, UK)
Friday 17 September 2010, 10:4011:10
Spence, E (University of Bath, UK)
Friday 17 September 2010, 10:4011:10
Cambridge University
1853
http://sms.cam.ac.uk/media/1071677
Coercivity of boundary integral operators in high frequency scattering
Spence, E (University of Bath, UK)
Friday 17 September 2010, 10:4011:10
20100921T10:42:48+01:00
1853
1071677
true
16x9
false
no

Coercivity, Nonnormality and Numerical Range of boundary integral operators in highfrequency scattering
ucs_sms_34_1070770
http://sms.cam.ac.uk/media/1070770
Coercivity, Nonnormality and Numerical Range of boundary integral operators in highfrequency scattering
Betcke, T (University of Reading, UK)
Tuesday 14 September 2010, 17:0017:30
Mon, 20 Sep 2010 10:47:36 +0100
Betcke, T
Steve Greenham
Isaac Newton Institute
Betcke, T
e60fb18682b2ddb02f4130f3648ecd26
e3809ebd502622c4344d1223a272420c
352b0231a5b12496d7b2ed80cbcfeda5
Betcke, T (University of Reading, UK)
Tuesday 14 September 2010, 17:0017:30
Betcke, T (University of Reading, UK)
Tuesday 14 September 2010, 17:0017:30
Cambridge University
1713
http://sms.cam.ac.uk/media/1070770
Coercivity, Nonnormality and Numerical Range of boundary integral operators in highfrequency scattering
Betcke, T (University of Reading, UK)
Tuesday 14 September 2010, 17:0017:30
20100920T10:47:40+01:00
1713
1070770
true
16x9
false
no

Computing expectation values for molecular quantum dynamics
ucs_sms_34_1070658
http://sms.cam.ac.uk/media/1070658
Computing expectation values for molecular quantum dynamics
Lasser, C (Technische Universität München, DE)
Tuesday 14 September 2010, 11:3012:30
Mon, 20 Sep 2010 10:04:15 +0100
Lasser, C
Steve Greenham
Isaac Newton Institute
Lasser, C
7b980ff004f5111813ae2afd6342d76f
32b865375ba56a79e43c412b88696a47
23337cec6544fe932194f76b2b8e992d
Lasser, C (Technische Universität München, DE)
Tuesday 14 September 2010,...
Lasser, C (Technische Universität München, DE)
Tuesday 14 September 2010, 11:3012:30
Cambridge University
2768
http://sms.cam.ac.uk/media/1070658
Computing expectation values for molecular quantum dynamics
Lasser, C (Technische Universität München, DE)
Tuesday 14 September 2010, 11:3012:30
20100920T10:05:44+01:00
2768
1070658
true
16x9
false
no

Conservation of energy and actions in numerical discretizations of nonlinear wave equations
ucs_sms_34_171
http://sms.cam.ac.uk/media/171
Conservation of energy and actions in numerical discretizations of nonlinear wave equations
Hairer, E (Geneve)
Tuesday 27 March 2007, 09:4510:30
Tue, 24 Jul 2007 15:37:14 +0100
Hairer, E
Isaac Newton Institute
Hairer, E
8737dcd3768fd86e6b8b7da0f0ca29b0
624390f6d2c48394a8def54cbbb9c3bd
ad44cb2378962531250d886b6e4bc2b0
adb85d730937765100916a3b30cf76d4
Hairer, E (Geneve)
Tuesday 27 March 2007, 09:4510:30
Hairer, E (Geneve)
Tuesday 27 March 2007, 09:4510:30
Cambridge University
2949
http://sms.cam.ac.uk/media/171
Conservation of energy and actions in numerical discretizations of nonlinear wave equations
Hairer, E (Geneve)
Tuesday 27 March 2007, 09:4510:30
For numerical discretizations of nonlinearly perturbed wave equations the longtime nearconservation of energy, momentum, and harmonic actions is studied. The proofs are based on the technique of modulated Fourier expansions in time. Rigorous statements on the longtime conservation properties are shown under suitable numerical nonresonance conditions and under a CFL condition. The time step need not be small compared to the inverse of the largest frequency in the spacediscretized system.
This is joint work with Christian Lubich and David Cohen.
20130415T12:24:46+01:00
2949
171
true
4x3
false
no

Convergent highfrequency algorithms for single and multiple scattering
ucs_sms_34_1071290
http://sms.cam.ac.uk/media/1071290
Convergent highfrequency algorithms for single and multiple scattering
Ecevit, F (Bogazici University, TR)
Tuesday 14 September 2010, 17:3018:00
Mon, 20 Sep 2010 17:27:14 +0100
Ecevit, F
Steve Greenham
Isaac Newton Institute
Ecevit, F
282f62b9f480a6272834da8531623a41
633e78a43966e3f3b34dd6d1a4986db9
79b99b149558340aff27eaad0eb3d514
Ecevit, F (Bogazici University, TR)
Tuesday 14 September 2010, 17:3018:00
Ecevit, F (Bogazici University, TR)
Tuesday 14 September 2010, 17:3018:00
Cambridge University
3155
http://sms.cam.ac.uk/media/1071290
Convergent highfrequency algorithms for single and multiple scattering
Ecevit, F (Bogazici University, TR)
Tuesday 14 September 2010, 17:3018:00
20100927T09:44:05+01:00
3155
1071290
true
16x9
false
no

Developing Integrators for Highly Oscillatory Hamiltonian Systems Using Homogenization
ucs_sms_34_1070725
http://sms.cam.ac.uk/media/1070725
Developing Integrators for Highly Oscillatory Hamiltonian Systems Using Homogenization
Dobson, M (Ecole des Ponts ParisTech, FR)
Tuesday 14 September 2010, 15:0015:30
Mon, 20 Sep 2010 10:25:35 +0100
Dobson, M
Steve Greenham
Isaac Newton Institute
Dobson, M
bd7e63575b833da34e528e29771e65d7
1d4d9e9a865fdd126c1e51911dc260d6
172659aa6fade9b44e3490e1bdb735e5
Dobson, M (Ecole des Ponts ParisTech, FR)
Tuesday 14 September 2010,...
Dobson, M (Ecole des Ponts ParisTech, FR)
Tuesday 14 September 2010, 15:0015:30
Cambridge University
1512
http://sms.cam.ac.uk/media/1070725
Developing Integrators for Highly Oscillatory Hamiltonian Systems Using Homogenization
Dobson, M (Ecole des Ponts ParisTech, FR)
Tuesday 14 September 2010, 15:0015:30
20100920T10:25:38+01:00
1512
1070725
true
16x9
false
no

Dispersive and dissipative behaviour of Galerkin approximation using high order polynomials
ucs_sms_34_770
http://sms.cam.ac.uk/media/770
Dispersive and dissipative behaviour of Galerkin approximation using high order polynomials
Ainsworth, M (Strathclyde)
Monday 26 March 2007, 15:3016:15
Mon, 18 Feb 2008 11:57:32 +0000
Ainsworth, M
Isaac Newton Institute
Ainsworth, M
19c0c1e0f4fe27c14d2778eb8574b6f5
9986481ed89b429b08a627b1ae1d9c7b
6841b1759693642d15d28cc48bbb4433
75b76b0d97325b69f5e5c37b7f89b471
Ainsworth, M (Strathclyde)
Monday 26 March 2007, 15:3016:15
Ainsworth, M (Strathclyde)
Monday 26 March 2007, 15:3016:15
Cambridge University
2836
http://sms.cam.ac.uk/media/770
Dispersive and dissipative behaviour of Galerkin approximation using high order polynomials
Ainsworth, M (Strathclyde)
Monday 26 March 2007, 15:3016:15
We consider the dispersive properties of Galerkin finite element methods for wave propagation. The dispersive properties of conforming finite element scheme are analysed in the setting of the Helmholtz equation and an explicit form the discrete dispersion relation is obtained for elements of arbitrary order. It is shown that the numerical dispersion displays three different types of behaviour depending on the order of the polynomials used relative to the meshsize and the wave number. Quantitative estimates are obtained for the behaviour and rates of decay of the dispersion error in the differing regimes.
20130415T12:24:29+01:00
2836
770
true
4x3
false
no

Efficient finite difference schemes for highly oscillatory linear ODE
ucs_sms_34_1070994
http://sms.cam.ac.uk/media/1070994
Efficient finite difference schemes for highly oscillatory linear ODE
Geier, J (TU Wien, AT)
Wednesday 15 September 2010, 14:3015:00
Mon, 20 Sep 2010 15:11:00 +0100
Geier, J
Steve Greenham
Isaac Newton Institute
Geier, J
677f0a792e59ba727d06440460d6e4dd
03bbc6ae89499a9db732a66200d8f67e
0e34fd0b35134b402802b61a8e34ee65
Geier, J (TU Wien, AT)
Wednesday 15 September 2010, 14:3015:00
Geier, J (TU Wien, AT)
Wednesday 15 September 2010, 14:3015:00
Cambridge University
1552
http://sms.cam.ac.uk/media/1070994
Efficient finite difference schemes for highly oscillatory linear ODE
Geier, J (TU Wien, AT)
Wednesday 15 September 2010, 14:3015:00
20100920T15:11:04+01:00
1552
1070994
true
16x9
false
no

Existence of approximate solitary waves in simplectic algorithms of integration
ucs_sms_34_1071695
http://sms.cam.ac.uk/media/1071695
Existence of approximate solitary waves in simplectic algorithms of integration
Bambussi, D (University of Milan, IT)
Friday 17 September 2010, 11:3012:30
Tue, 21 Sep 2010 10:56:26 +0100
Bambussi, D
Steve Greenham
Isaac Newton Institute
Bambussi, D
fd83f8eb92374ccf66279daa89dfcc98
cd6c0a38f54114f883e3fae530bc3d00
21b3c2366d54190f5b12f975ed497c07
Bambussi, D (University of Milan, IT)
Friday 17 September 2010, 11:3012:30
Bambussi, D (University of Milan, IT)
Friday 17 September 2010, 11:3012:30
Cambridge University
4012
http://sms.cam.ac.uk/media/1071695
Existence of approximate solitary waves in simplectic algorithms of integration
Bambussi, D (University of Milan, IT)
Friday 17 September 2010, 11:3012:30
20100921T10:56:31+01:00
4012
1071695
true
16x9
false
no

Exponential asymptotics for the primitive equations
ucs_sms_34_802
http://sms.cam.ac.uk/media/802
Exponential asymptotics for the primitive equations
Wirosoetisno, D (Durham)
Wednesday 28 March 2007, 17:0017:30
Mon, 25 Feb 2008 11:36:30 +0000
Wirosoetisno, D
Isaac Newton Institute
Wirosoetisno, D
fc74259ed50a3cb62292394ddee7c522
ee0fce51ff2126ce43806864318c9fc5
5eb6010d3eb70af1f5e05ced235b98ce
91435110342ff2e260ecc2d575abdd63
Wirosoetisno, D (Durham)
Wednesday 28 March 2007, 17:0017:30
Wirosoetisno, D (Durham)
Wednesday 28 March 2007, 17:0017:30
Cambridge University
1965
http://sms.cam.ac.uk/media/802
Exponential asymptotics for the primitive equations
Wirosoetisno, D (Durham)
Wednesday 28 March 2007, 17:0017:30
Following the work of Matthies (2001), it is shown how Gevrey (exponential) regularity of the solution and a classical method used together to prove an exponentiallyaccurate approximation result for a singular perturbation problem with a small parameter. The model considered is the viscous primitive equations of the ocean, although the method is applicable more generally.
20130415T12:24:13+01:00
1965
802
true
4x3
false
no

Exponential estimates in averaging and homogenisation
ucs_sms_34_204
http://sms.cam.ac.uk/media/204
Exponential estimates in averaging and homogenisation
Matthies, K (Bath)
Thursday 29 March 2007, 17:0017:30
Thu, 30 Aug 2007 10:43:12 +0100
Matthies, K
Isaac Newton Institute
Matthies, K
5173484418450ebc37c72ac75bc43a7f
2b524d26f174d2257c4343b0be5ace68
e27829f8ed939e91241a079988a8a453
d610e7c4cd870ae59c0aa671a685b635
Matthies, K (Bath)
Thursday 29 March 2007, 17:0017:30
Matthies, K (Bath)
Thursday 29 March 2007, 17:0017:30
Cambridge University
1830
http://sms.cam.ac.uk/media/204
Exponential estimates in averaging and homogenisation
Matthies, K (Bath)
Thursday 29 March 2007, 17:0017:30
Many partial differential equations with rapid spatial or temporal scales have effective descriptions which can be derived by homogenisation or averaging. In this talk we deal with examples, where quantitative estimates of the error is possible for higher order homogenisation and averaging.
In particular, we provide theorems, which allow homogenisation and averaging beyond all orders by giving exponential estimates of appropriately averaged and homogenised descriptions. Methods include iterated averaging transformations, optimal truncation of asymptotic expansions and highly regular solutions (Gevrey regularity). Prototypical examples are reactiondiffusion equations with heterogeneous reaction terms or rapid external forcing, nonlinear Schr\"odinger equations describing dispersion management, and secondorder linear elliptic equations.
Related Links
* http://www.maths.bath.ac.uk/~km230/  Homepage with links to publications
20130415T12:29:38+01:00
1830
204
true
4x3
false
no

Exponential integrators and functions of the matrix exponential
ucs_sms_34_178
http://sms.cam.ac.uk/media/178
Exponential integrators and functions of the matrix exponential
Matthews, P (Nottingham)
Thursday 29 March 2007, 14:0014:30
Thu, 26 Jul 2007 13:39:25 +0100
Matthews, P
Isaac Newton Institute
Matthews, P
14b3c2c6f5173577f683915c1532486e
c1bb6a7fc94fd50aef9e8a74180fa2a7
03b95fc602aae33d5cef1608959769c4
6927db7468540f6e56ce89467a44a35a
Matthews, P (Nottingham)
Thursday 29 March 2007, 14:0014:30
Matthews, P (Nottingham)
Thursday 29 March 2007, 14:0014:30
Cambridge University
1938
http://sms.cam.ac.uk/media/178
Exponential integrators and functions of the matrix exponential
Matthews, P (Nottingham)
Thursday 29 March 2007, 14:0014:30
Exponential integrators are the most efficient class of methods for the timestepping of stiff, semilinear, oscillatory PDEs such as the KdV equation. They solve the stiff, linear part of the PDE exactly. In the case of periodic boundary conditions, a Fourier spectral method can be used, so the linear part is diagonal and the methods can be applied straightforwardly. For other spatial discretizations, functions of the matrix exponential are required, which are susceptible to rounding errors. Several methods for evaluating these functions will be discussed.
20130415T12:29:29+01:00
1938
178
true
4x3
false
no

Exponential integrators for oscillatory secondorder differential equations
ucs_sms_34_798
http://sms.cam.ac.uk/media/798
Exponential integrators for oscillatory secondorder differential equations
Hochbruck, M (HeinrichHeineUniversitaet, Dusseldorf)
Wednesday 28 March 2007, 09:4510:30
Fri, 22 Feb 2008 12:25:18 +0000
Hochbruck, M
Isaac Newton Institute
Hochbruck, M
5570f277a6b2abcc479d6b5535da56ba
5b53ae68cecd2eb952d19325c8320160
7a8e93d0494416a4c80bdedf0e6947bd
ff73b36de852221550a06b16a52809c9
Hochbruck, M (HeinrichHeineUniversitaet, Dusseldorf)
Wednesday 28 March...
Hochbruck, M (HeinrichHeineUniversitaet, Dusseldorf)
Wednesday 28 March 2007, 09:4510:30
Cambridge University
2816
http://sms.cam.ac.uk/media/798
Exponential integrators for oscillatory secondorder differential equations
Hochbruck, M (HeinrichHeineUniversitaet, Dusseldorf)
Wednesday 28 March 2007, 09:4510:30
In this talk, we analyse a family of exponential integrators for secondorder differential equations in which highfrequency oscillations in the solution are generated by a linear part. We characterise methods which allow secondorder error bounds by presenting a unified error analysis for the whole family of methods. A major advantage of our analysis is that it does not require bounds for pointwise products of matrices and therefore, generalises to abstract differential equations, where the linear part is an unbounded operator with infinitely many large eigenvalues directly.
This is joint work with Volker Grimm
20130415T12:28:42+01:00
2816
798
true
4x3
false
no

Fast singular oscillating limits of the 3D NavierStokes and Euler equations: Global regularity and threedimensional Euler dynamics
ucs_sms_34_786
http://sms.cam.ac.uk/media/786
Fast singular oscillating limits of the 3D NavierStokes and Euler equations: Global regularity and threedimensional Euler dynamics
Mahalov, A (Arizona State)
Tuesday 27 March 2007, 15:3016:15
Wed, 20 Feb 2008 10:34:06 +0000
Mahalov, A
Isaac Newton Institute
Mahalov, A
179a26caf2525207d5b960818374b36d
97aa1905ddebce0d00730203d55dd2ac
ae21513a6690298eac18893ccd64a669
84008a32902db55eaaea48e3a6f1c29d
Mahalov, A (Arizona State)
Tuesday 27 March 2007, 15:3016:15
Mahalov, A (Arizona State)
Tuesday 27 March 2007, 15:3016:15
Cambridge University
3003
http://sms.cam.ac.uk/media/786
Fast singular oscillating limits of the 3D NavierStokes and Euler equations: Global regularity and threedimensional Euler dynamics
Mahalov, A (Arizona State)
Tuesday 27 March 2007, 15:3016:15
In the first part of the talk, we study highly oscillatory problems for the incompressible 3D NavierStokes and prove existence on infinite time intervals of regular strong solutions; smoothness assumptions for initial data are the same as in local existence theorems. There are no conditional assumptions on the properties of solutions at later times, nor are the global solutions close to any 2D manifold. The global existence is proven using techniques of fast singular oscillating limits, Lemmas on restricted convolutions and the LittlewoodPaley dyadic decomposition. In the second part of the talk, we analyze regularity and dynamics of highly oscillatory problems for the 3D Euler equations.
Detailed proofs can be found in the following references:
Asymptotic Analysis, vol. 15, No. 2, p. 103150, 1997 (with A. Babin and B. Nicolaenko).
Indiana University Mathematics Journal, vol. 48, No. 3, p. 11331176, 1999 (with A. Babin and B. Nicolaenko).
Indiana University Mathematics Journal, vol. 50, p. 135, 2001 (with A. Babin and B. Nicolaenko).
Russ. Mathematical Surveys, vol. 58, No. 2 (350), p. 287318, 2003 (with B. Nicolaenko).
Methods and Applications of Analysis, vol. 11, No. 4, p. 605633, 2004 (with B. Nicolaenko, C. Bardos and F. Golse). Hokkaido Mathematical Journal, vol. 35, No. 2, p. 321364, 2006 (with Y. Giga, K. Inui and S. Matsui).
Annals of Math. Studies, Princeton University Press (Editors: J. Bourgain and C. Kenig), In Press (with Y. Giga and B. Nicolaenko).
20130415T12:28:33+01:00
3003
786
true
4x3
false
no

Finite difference approximation of homogenization problems for elliptic equations
ucs_sms_34_173
http://sms.cam.ac.uk/media/173
Finite difference approximation of homogenization problems for elliptic equations
Zuazua, E (Autonoma)
Thursday 29 March 2007, 09:0009:45
Wed, 25 Jul 2007 16:04:46 +0100
Zuazua, E
Isaac Newton Institute
Zuazua, E
a9451c200568b644224e55f3a0cf925b
c510a2e9f6d3ad44b9aa5ba3480fbc1c
c4e4b12d4fa8ef9f0a9fabae3759b644
ae7a7869d1ea90053353ab5ce7fc38ec
Zuazua, E (Autonoma)
Thursday 29 March 2007, 09:0009:45
Zuazua, E (Autonoma)
Thursday 29 March 2007, 09:0009:45
Cambridge University
2800
http://sms.cam.ac.uk/media/173
Finite difference approximation of homogenization problems for elliptic equations
Zuazua, E (Autonoma)
Thursday 29 March 2007, 09:0009:45
In this talk, the problem of the approximation by finite differences of solutions to elliptic problems with rapidly oscillating coefficients and periodic boundary conditions will be discussed.
The meshsize is denoted by $h$ while $\ee$ denotes the period of the rapidly oscillating coefficient. Using Bloch wave decompositions, we analyze the case where the ratio $h/\ee$ is rational. We show that if $h/\ee$ is kept fixed, being a rational number, even when $h,\ee\to 0$, the limit of the numerical solution does not coincide with the homogenized one obtained when passing to the limit as $\ee\to 0$ in the continuous problem. Explicit error estimates are given showing that, as the ratio $h/\ee$ approximates an irrational number, solutions of the finite difference approximation converge to the solutions of the homogenized elliptic equation. We consider both the 1d and the multidimensional case. Our analysis yields a quantitative version of previous results on numerical homogenization by Avellaneda, Hou and Papanicolaou, among others. This is a joint work with Rafael Orive.
20130415T12:28:24+01:00
2800
173
true
4x3
false
no

Fluids, parcel dynamics and oscillations
ucs_sms_34_823
http://sms.cam.ac.uk/media/823
Fluids, parcel dynamics and oscillations
Reich, S (Potsdam)
Wednesday 21 March 2007, 16:0017:00
Tue, 11 Mar 2008 13:45:58 +0000
Reich, S
Isaac Newton Institute
Reich, S
3fa1449c5b1dad285631984d9511f3c9
a7389e2803a9e3d0b3c9732d602ff077
cd690f18546f88393c973ca1a720f902
ea16bc7e8d51a1fc16de4761404361a4
Reich, S (Potsdam)
Wednesday 21 March 2007, 16:0017:00
Reich, S (Potsdam)
Wednesday 21 March 2007, 16:0017:00
Cambridge University
3938
http://sms.cam.ac.uk/media/823
Fluids, parcel dynamics and oscillations
Reich, S (Potsdam)
Wednesday 21 March 2007, 16:0017:00
20130415T12:28:15+01:00
3938
823
true
4x3
false
no

Fourier series on triangles and tetrahedra
ucs_sms_34_1069990
http://sms.cam.ac.uk/media/1069990
Fourier series on triangles and tetrahedra
Huybrechs, D (K.U. Leuven, BE)
Monday 13 September 2010, 11:3012:30
Fri, 17 Sep 2010 15:26:52 +0100
Huybrechs, D
Steve Greenham
Isaac Newton Institute
Huybrechs, D
36de9438a21278b03f97a2a87638d2c7
fe09b19516920cef9b64276e42bc3600
c6ab61f62eb2a108a1601cc3880e060c
Huybrechs, D (K.U. Leuven, BE)
Monday 13 September 2010, 11:3012:30
Huybrechs, D (K.U. Leuven, BE)
Monday 13 September 2010, 11:3012:30
Cambridge University
3717
http://sms.cam.ac.uk/media/1069990
Fourier series on triangles and tetrahedra
Huybrechs, D (K.U. Leuven, BE)
Monday 13 September 2010, 11:3012:30
20100917T15:26:56+01:00
3717
1069990
true
16x9
false
no

From high oscillation to rapid approximation
ucs_sms_34_804
http://sms.cam.ac.uk/media/804
From high oscillation to rapid approximation
Iserles, A (Cambridge)
Friday 30 March 2007, 09:0009:45
Mon, 25 Feb 2008 14:14:05 +0000
Iserles, A
Isaac Newton Institute
Iserles, A
40e704cfb85b9929f418f7f4cbac585c
c64974fc0b67ad04c07e2e9e8afe129f
74c4674097d83b839ef1770e86bd095e
be05460d8529af723c8f43656f687600
Iserles, A (Cambridge)
Friday 30 March 2007, 09:0009:45
Iserles, A (Cambridge)
Friday 30 March 2007, 09:0009:45
Cambridge University
2875
http://sms.cam.ac.uk/media/804
From high oscillation to rapid approximation
Iserles, A (Cambridge)
Friday 30 March 2007, 09:0009:45
In this talk we address our recent work on the theory of modified Fourier expansions and their generalisation for the approximation of smooth functions in one and several variables. In particular, we debate rapid evaluation of expansion coefficients by means of Filonlike and GaussTuranlike quadrature techniques and various acceleration techniques.
20130415T12:28:03+01:00
2875
804
true
4x3
false
no

Generalization of the Maslov Theory for Localized Asymptotics and Tsunami waves
ucs_sms_34_774
http://sms.cam.ac.uk/media/774
Generalization of the Maslov Theory for Localized Asymptotics and Tsunami waves
Dobrokhotov, S (Russian Academy of Sciences)
Monday 26 March 2007, 16:1517:00
Mon, 18 Feb 2008 17:40:26 +0000
Dobrokhotov, S
Isaac Newton Institute
Dobrokhotov, S
6bf01791e18a795d4e9176a77a1c6788
84a4bd46e8a18507692009e8259e5432
2e52feadf784ffdc48451770b8365f39
0c6e6021fce7b3fc3a88849ff51c562b
Dobrokhotov, S (Russian Academy of Sciences)
Monday 26 March 2007, 16:1517:00
Dobrokhotov, S (Russian Academy of Sciences)
Monday 26 March 2007, 16:1517:00
Cambridge University
2425
http://sms.cam.ac.uk/media/774
Generalization of the Maslov Theory for Localized Asymptotics and Tsunami waves
Dobrokhotov, S (Russian Academy of Sciences)
Monday 26 March 2007, 16:1517:00
We suggest a new asymptotic representation for the solutions to the multidimensional wave equations with variable velocity with localized initial data. This representation is the generalization of the Maslov canonical operator based also on a simple relationship between fast decaying and fast oscillating solutions, and on boundary layer ideas. It establishes the connection between initial localized perturbations and wave profiles near the wave fronts including the neighborhood of backtracking (focal or turning) and self intersection points. We show that wave profiles are related with a form of initial sources and also with the Lagrangian manifolds organized by the rays and wavefronts. In particular we discuss the influence of such topological characteristics like the Maslov and Morse indices to metamorphosis of the profiles after crossing the focal points. We apply these formulas to the problem of a propagation of tsunami waves in the frame of socalled ``piston model''. Finally we suggest a fast asymptoticallynumerical algorithm for simulation of tsunami wave over nonuniform bottom. Different scenarios of the distribution of the waves are considered, the wave profiles of the front are obtained in connection with the different shapes of the source and with the diverse rays generating the fronts. It is possible to use suggested algorithm to predict in real time the zones of the beaches where the amplitude of the tsunami wave has dangerous high values. In this connection we also discuss the following questions: the problems of the regularization of the wave field near focal points; illpossed problems appearing in the geometry of the wavefronts; the inverse problem connected with the possibility of reconstruction of the source via the measurement of the tsunami wave profile on the shelf etc. This work was done together with S.SekerzhZenkovich, B.Tirozzi, B.Volkov and was partially supported by RFBR grant N 050100968 and Agreement Between University "La Sapienza", Rome and Institute for Problems in Mechanics RAS, Moscow.
Bibliography
[1] S.Yu. Dobrokhotov, S.Ya SekerzhZenkovich, B. Tirozzi, T.Ya. Tudorovskiy, The description of tsunami waves propagation based on the Maslov canonical operator, Doklady Mathematics, 2006, v.74, N 1, pp. 592596
[2] S.Yu. Dobrokhotov, S.Ya SekerzhZenkovich, B. Tirozzi, T.Ya. Tudorovskiy, Asymptotic theory of tsunami waves: geometrical aspects and the generalized Maslov representation, Publications of Kyoto Research Mathematical Institute, Vol.4, page 118153, 2006, ISSN 18802818. [3] S.Dobrokhotov, S.SekerzhZenkovich, B.Tirozzi, B.Volkov Explicit asymptotics for tsunami waves in framework of the piston model, Russ. Journ. Earth Sciences, 2006, v.8, ES403, pp.112
[4] S.Dobrokhotov, S.Sinitsyn, B.Tirozzi, Asymptotics of Localized Solutions of the OneDimensional Wave Equation with Variable Velocity. I. The Cauchy Problem, Russ. Jour.Math.Phys., v.14, N1, 2007, pp.2856
20130415T12:27:54+01:00
2425
774
true
4x3
false
no

Global and Blowup patterns of the Cauchy problem of a fourthorder thin film equation
ucs_sms_34_1071626
http://sms.cam.ac.uk/media/1071626
Global and Blowup patterns of the Cauchy problem of a fourthorder thin film equation
AlvarezCaudevilla, P (Scuola Normale Superiore, IT)
Thursday 16 September 2010, 18:0018:30
Tue, 21 Sep 2010 10:09:56 +0100
AlvarezCaudevilla, P
Steve Greenham
Isaac Newton Institute
AlvarezCaudevilla, P
1f1d7eae93752b5699a88c2a49c064b3
f0aa8ce7e0b07612d006685b97631cb9
bf8684a20843308203e2a2cc5c4e990c
AlvarezCaudevilla, P (Scuola Normale Superiore, IT)
Thursday 16 September...
AlvarezCaudevilla, P (Scuola Normale Superiore, IT)
Thursday 16 September 2010, 18:0018:30
Cambridge University
1347
http://sms.cam.ac.uk/media/1071626
Global and Blowup patterns of the Cauchy problem of a fourthorder thin film equation
AlvarezCaudevilla, P (Scuola Normale Superiore, IT)
Thursday 16 September 2010, 18:0018:30
20100921T10:09:59+01:00
1347
1071626
true
16x9
false
no

Hamiltonian slow manifolds with internal oscillation
ucs_sms_34_779
http://sms.cam.ac.uk/media/779
Hamiltonian slow manifolds with internal oscillation
MacKay, RS (Warwick)
Monday 26 March 2007, 14:1515:00
Tue, 19 Feb 2008 12:44:37 +0000
MacKay, RS
Isaac Newton Institute
MacKay, RS
48bd2c19e038acb70f91a3df1cc59aec
f26d24272b5381aebc73546515043433
e8742c42a2720f293f99135302275fc3
a79b27d96769d23e688e93763363e5de
MacKay, RS (Warwick)
Monday 26 March 2007, 14:1515:00
MacKay, RS (Warwick)
Monday 26 March 2007, 14:1515:00
Cambridge University
3047
http://sms.cam.ac.uk/media/779
Hamiltonian slow manifolds with internal oscillation
MacKay, RS (Warwick)
Monday 26 March 2007, 14:1515:00
Many Hamiltonian systems possess special families of solutions which can be described approximately as slowly drifting periodic orbits. Examples include the gravitational threebody problem, the interaction of two identical charged particles in a magnetic field, and the propagation and interaction of discrete breathers (timeperiodic spatially localised motions in Hamiltonian networks of units). Theory will be presented for how to improve a zeroth order manifold of approximate solutions to rth order for any r > 0, meaning one that contains all nearby periodic orbits of nearby period and has error of order the rth power of the drift field (even with a small constant for r=1). In the normally hyperbolic case an exactly invariant nearby submanifold can be constructed. If there are normally elliptic directions, however, this is impossible in general but the above rth order approximations can be achieved provided that the normal frequencies avoid all multiples of that of the approximately periodic motion and are fast compared with the drift. An effective Hamitlonian is derived to describe the drift of the orbits. Applications to the above fields will be given. An introduction has been published as R.S.MacKay, Slow Manifolds, in Energy localisation and transfer, eds T.Dauxois, A.LitvakHinenzon, R.S.MacKay, A.Spanoudaki (World Sci Publ Co, 2004), 149192.
20130415T12:27:41+01:00
3047
779
true
4x3
false
no

Heterogeneous multiscale methods
ucs_sms_34_776
http://sms.cam.ac.uk/media/776
Heterogeneous multiscale methods
Engquist, B (Texas at Austin)
Monday 26 March 2007, 11:3012:15
Tue, 19 Feb 2008 09:39:27 +0000
Engquist, B
Isaac Newton Institute
Engquist, B
6b97324d0e3be64a7c2b2adb52a724a5
febb0afd0849ada80523ef7d1b82d5ef
ea856487b407558f182a9eeeaa96523c
fba3d604706e832c8855a8a60e437332
Engquist, B (Texas at Austin)
Monday 26 March 2007, 11:3012:15
Engquist, B (Texas at Austin)
Monday 26 March 2007, 11:3012:15
Cambridge University
2894
http://sms.cam.ac.uk/media/776
Heterogeneous multiscale methods
Engquist, B (Texas at Austin)
Monday 26 March 2007, 11:3012:15
Continuum simulations of solids or fluids for which some atomistic information is needed are typical example of multiscale problems with very large ranges of scales. For such problems it is necessary to restrict the simulations on the microscale to a smaller subset of the full computational domain. The heterogeneous multiscale method is a framework for developing and analyzing numerical methods that couple computations from very different scales. Local microscale simulations on small domains supply missing data to a macroscale simulation on the full domain. Examples are local molecular dynamics computations that produce data to a continuum macroscale model, or a highly oscillatory dynamical system for which a local estimate of resonances is enough to supply data for a smoother evolution of averages. We will focus on dynamical systems.
20130415T12:27:31+01:00
2894
776
true
4x3
false
no

High dimensional finite element methods for elliptic problems with highly oscillating coefficients
ucs_sms_34_179
http://sms.cam.ac.uk/media/179
High dimensional finite element methods for elliptic problems with highly oscillating coefficients
Hoang, VH (Cambridge)
Thursday 29 March 2007, 14:3015:00
Thu, 26 Jul 2007 15:08:13 +0100
Hoang, VH
Isaac Newton Institute
Hoang, VH
8284ea357bfffe8735f654a89d9372ad
88bb2a6e6a9b4ba24d8f046468c018dd
111d81cc19939ddb8fb4fbbab2b1f42b
b45ee4b8ff49625b9271780323d05808
Hoang, VH (Cambridge)
Thursday 29 March 2007, 14:3015:00
Hoang, VH (Cambridge)
Thursday 29 March 2007, 14:3015:00
Cambridge University
1755
http://sms.cam.ac.uk/media/179
High dimensional finite element methods for elliptic problems with highly oscillating coefficients
Hoang, VH (Cambridge)
Thursday 29 March 2007, 14:3015:00
Elliptic homogenization problems in a domain $\Omega \subset \R^d$ with $n+1$ separated scales are reduced to elliptic onescale problems in dimension $(n+1)d$. These onescale problems are discretized by a sparse tensor product finite element method (FEM). We prove that this sparse FEM has accuracy, work and memory requirement comparable to standard FEM for single scale problems in $\Omega$ while it gives numerical approximations of the correct homogenized limit as well as of all first order correctors, throughout the physical domain with performance independent of the physical problem's scale parameters. Numerical examples for model diffusion problems with two and three scales confirm our results.
20130415T12:27:21+01:00
1755
179
true
4x3
false
no

Highly oscillatory Hamiltonian systems with nonconstant mass matrix
ucs_sms_34_783
http://sms.cam.ac.uk/media/783
Highly oscillatory Hamiltonian systems with nonconstant mass matrix
Cohen, D (NTNU)
Tuesday 27 March 2007, 10:3011:00
Tue, 19 Feb 2008 16:16:22 +0000
Cohen, D
Isaac Newton Institute
Cohen, D
af90c32ead0caf514c68f8ede37993aa
0fc58dde8636ee6ee066114148de59e6
4c83ecc5c545388f22148cc47696b22e
4ee266eda1471e959f93de874c11e144
Cohen, D (NTNU)
Tuesday 27 March 2007, 10:3011:00
Cohen, D (NTNU)
Tuesday 27 March 2007, 10:3011:00
Cambridge University
1729
http://sms.cam.ac.uk/media/783
Highly oscillatory Hamiltonian systems with nonconstant mass matrix
Cohen, D (NTNU)
Tuesday 27 March 2007, 10:3011:00
We will present a class of numerical methods (based on the trigonometric methods) for such Hamiltonian problems. We will then present a frequency expansion of the numerical solution: the modulated Fourier expansion. The system that determines the coefficients of this expansion has two formal invariants which are related to the total energy and the oscillatory energy of the original system. This allows us to prove the nearconservation of the total and the oscillatory energy for the numerical schemes over very long time intervals.
Related Links
* http://www.math.ntnu.no/~cohen  homepage
20130415T12:27:12+01:00
1729
783
true
4x3
false
no

Highly Oscillatory Integrals and their Applications
ucs_sms_34_1071033
http://sms.cam.ac.uk/media/1071033
Highly Oscillatory Integrals and their Applications
Khanamiryan, M (Cambridge University, UK)
Wednesday 15 September 2010, 15:0015:30
Mon, 20 Sep 2010 15:31:37 +0100
Khanamiryan, M
Steve Greenham
Isaac Newton Institute
Khanamiryan, M
892f316ff04cf6a32d42295880e4c662
e7faf7c52af09468f1824cc3599bd6a2
314762c232d135c926dd73528563a658
Khanamiryan, M (Cambridge University, UK)
Wednesday 15 September 2010,...
Khanamiryan, M (Cambridge University, UK)
Wednesday 15 September 2010, 15:0015:30
Cambridge University
2045
http://sms.cam.ac.uk/media/1071033
Highly Oscillatory Integrals and their Applications
Khanamiryan, M (Cambridge University, UK)
Wednesday 15 September 2010, 15:0015:30
20100920T15:31:42+01:00
2045
1071033
true
16x9
false
no

Highly oscillatory PDEs, slow manifolds and regularized PDE formations
ucs_sms_34_789
http://sms.cam.ac.uk/media/789
Highly oscillatory PDEs, slow manifolds and regularized PDE formations
Reich, S (Potsdam)
Tuesday 27 March 2007, 11:3012:15
Wed, 20 Feb 2008 18:21:39 +0000
Reich, S
Isaac Newton Institute
Reich, S
d726e15b9cf1d6e0b32d31d159d265e5
f38bf07ddabc9a640df94a44b2e8078e
1a1652eeb30997eff85126bbaada56aa
2b5afcaf169b8d97eda18cab3eb73bea
Reich, S (Potsdam)
Tuesday 27 March 2007, 11:3012:15
Reich, S (Potsdam)
Tuesday 27 March 2007, 11:3012:15
Cambridge University
2938
http://sms.cam.ac.uk/media/789
Highly oscillatory PDEs, slow manifolds and regularized PDE formations
Reich, S (Potsdam)
Tuesday 27 March 2007, 11:3012:15
The main motivation of my talk is provided by geophysical fluid dynamics. The underlying Euler or NavierStokes equations display oscillatory wave dynamics on a wide range of temporal and spatial scales. Simplified models are often based on the idea of balance and the concept of a slow manifold. Examples are provided by hydrostatic and geostrophic balance. One would also like to exploit these concepts on a computational level. However, slow manifolds are idealized objects that do not fully characterize the complex fluid behavior. I will describe a novel regularization technique that makes use of balance and slow manifolds in an adaptive manner. The regularization approach is based on a reinterpretation of the (linearly) implicit midpoint rule as an explicit timestepping method applied to a regularized set of Euler equations. Adaptivity can be achieved by means of a predictorcorrector interpretation of the regularization.
20130415T12:26:58+01:00
2938
789
true
4x3
false
no

Homogenization with nonseparated scales and high contrast
ucs_sms_34_1071201
http://sms.cam.ac.uk/media/1071201
Homogenization with nonseparated scales and high contrast
Owhadi, H (California Institute of Technology, US)
Thursday 16 September 2010, 09:0010:00
Mon, 20 Sep 2010 16:36:51 +0100
Owhadi, H
Steve Greenham
Isaac Newton Institute
Owhadi, H
c851863b71f678ebd7f849d300de363a
8006bfda33d4238aa489581ec93d99c0
0ca102ec3b0f75ae49411b91572dddfc
Owhadi, H (California Institute of Technology, US)
Thursday 16 September 2010,...
Owhadi, H (California Institute of Technology, US)
Thursday 16 September 2010, 09:0010:00
Cambridge University
2332
http://sms.cam.ac.uk/media/1071201
Homogenization with nonseparated scales and high contrast
Owhadi, H (California Institute of Technology, US)
Thursday 16 September 2010, 09:0010:00
20100920T16:36:54+01:00
2332
1071201
true
16x9
false
no

IntegralPreserving Integrators
ucs_sms_34_1070064
http://sms.cam.ac.uk/media/1070064
IntegralPreserving Integrators
Quispel, R (La Trobe University, AU)
Monday 13 September 2010, 14:3015:00
Fri, 17 Sep 2010 15:34:09 +0100
Quispel, R
Steve Greenham
Isaac Newton Institute
Quispel, R
6f8a68776962594f836051075669e462
d1874d5a2809618c9b02bad95ea21be2
722ba72ff946890ba5944c9206dde4a2
Quispel, R (La Trobe University, AU)
Monday 13 September 2010, 14:3015:00
Quispel, R (La Trobe University, AU)
Monday 13 September 2010, 14:3015:00
Cambridge University
2048
http://sms.cam.ac.uk/media/1070064
IntegralPreserving Integrators
Quispel, R (La Trobe University, AU)
Monday 13 September 2010, 14:3015:00
20100917T15:34:13+01:00
2048
1070064
true
16x9
false
no

Localization and propagation in high contrast highly oscillatory media via 'nonclassical' homogenization
ucs_sms_34_203
http://sms.cam.ac.uk/media/203
Localization and propagation in high contrast highly oscillatory media via 'nonclassical' homogenization
Smyshlyaev, VP (Bath)
Thursday 29 March 2007, 16:1517:00
Thu, 30 Aug 2007 09:09:59 +0100
Smyshlyaev, VP
Isaac Newton Institute
Smyshlyaev, VP
c912c5fb06ba7a063f73ce72e03d8da9
f9ffa9ae99238b204a69bde758719039
31b3d6df35a05ca6c45a9f80959cdcfe
5d42e3ac111c8805b443188c45169c91
Smyshlyaev, VP (Bath)
Thursday 29 March 2007, 16:1517:00
Smyshlyaev, VP (Bath)
Thursday 29 March 2007, 16:1517:00
Cambridge University
2757
http://sms.cam.ac.uk/media/203
Localization and propagation in high contrast highly oscillatory media via 'nonclassical' homogenization
Smyshlyaev, VP (Bath)
Thursday 29 March 2007, 16:1517:00
We discuss fundamental mathematical tools for analysis of localization and propagation effects in highly oscillatory media with high contrasts. With the underlying two small parameters of the oscillations and the contrast, there is a "critical" scaling when the phenomena at the micro and macro scales are coupled in a nontrivial way, with "unusual" effects observed in an asymptotically explicit way. The related mathematical tool is that of a "nonclassical" (highcontrast) homogenization, accounting for "highfrequency" oscillations, as opposes to the "classical" homogenization whose scope is limited by dealing in effect with low frequencies only. Those tools include "nonclassical" twoscale asymptotic expansions, twoscale operator and spectral convergence, and twoscale compactness (with the latter building on, among others, recent deep ideas of V.V. Zhikov [1]).
We illustrate this on the problem of wave localization in high contrast periodic media with a defect [2] (a problem relevant to photonic crystal fibres). We also discuss the use of these techniques to the problem of "slowing down" of wave packets in high contrast highlyoscillatory media (the socalled "slow light" effect, with relevance to coupled resonances and metastability), and other prospects. Joint work with Ilia V. Kamotski.
[1] V.V. Zhikov, On an extension of the method of twoscale convergence and its applications, (Russian) Mat. Sbornik 191 (2000), 3172; English translation in Sbornik Math. 191 (2000), 9731014; V.V. Zhikov, Gaps in the spectrum of some elliptic operators in divergent form with periodic coefficients. (Russian) Algebra i Analiz 16 (2004), 3458;
[2] I.V. Kamotski and V.P. Smyshlyaev, Localised eigenstates due to defects in high contrast periodic media via homogenisation. BICS preprint 3/06. http://www.bath.ac.uk/mathsci/bics/preprints/BICS06_3.pdf (2006)
Related Links
* http://www.bath.ac.uk/mathsci/bics/preprints/BICS06_3.pdf  link to paper [2]
20130415T12:26:43+01:00
2757
203
true
4x3
false
no

Longtimestep methods for highly oscillatory Hamiltonian problems
ucs_sms_34_821
http://sms.cam.ac.uk/media/821
Longtimestep methods for highly oscillatory Hamiltonian problems
Lubich, C (Tuebingen)
Wednesday 21 March 2007, 14:3015:30
Tue, 11 Mar 2008 10:32:57 +0000
Lubich, C
Isaac Newton Institute
Lubich, C
f7abfbba311e5695531d9e42a532d245
76a9224b7b7fa0992d58348236af20cf
6a9a9f8c92d5e880f0e8db2a1fdbb3ac
ecb81235d47fe5c2c150c15d0e131538
Lubich, C (Tuebingen)
Wednesday 21 March 2007, 14:3015:30
Lubich, C (Tuebingen)
Wednesday 21 March 2007, 14:3015:30
Cambridge University
4085
http://sms.cam.ac.uk/media/821
Longtimestep methods for highly oscillatory Hamiltonian problems
Lubich, C (Tuebingen)
Wednesday 21 March 2007, 14:3015:30
20130415T12:26:33+01:00
4085
821
true
4x3
false
no

Metastability, rare events and sampling problems in molecular dynamics
ucs_sms_34_1070847
http://sms.cam.ac.uk/media/1070847
Metastability, rare events and sampling problems in molecular dynamics
Lelievre, T (ENPC, FR)
Wednesday 15 September 2010, 10:0011:00
Mon, 20 Sep 2010 11:52:24 +0100
Lelievre, T
Steve Greenham
Isaac Newton Institute
Lelievre, T
ab8fb75a7b5a5e26d3dedb9793c4e349
1121bd6e22d135936586e106169d7236
59f204688b3e959dd2cf4d9210d0005a
Lelievre, T (ENPC, FR)
Wednesday 15 September 2010, 10:0011:00
Lelievre, T (ENPC, FR)
Wednesday 15 September 2010, 10:0011:00
Cambridge University
3932
http://sms.cam.ac.uk/media/1070847
Metastability, rare events and sampling problems in molecular dynamics
Lelievre, T (ENPC, FR)
Wednesday 15 September 2010, 10:0011:00
20100920T11:52:28+01:00
3932
1070847
true
16x9
false
no

Modulated Fourier expansions and the FermiPastaUlam problem
ucs_sms_34_1070829
http://sms.cam.ac.uk/media/1070829
Modulated Fourier expansions and the FermiPastaUlam problem
Lubich, C (Universitaet Tuebingen, DE)
Wednesday 15 September 2010, 09:0010:00
Mon, 20 Sep 2010 11:32:58 +0100
Lubich, C
Steve Greenham
Isaac Newton Institute
Lubich, C
dc2c0b301f6656f34002f5b5fb4e6741
cd32a4cd12b3d566169170dc4c64f1ee
a9ba9b102adc5be96708e80fe454399b
Lubich, C (Universitaet Tuebingen, DE)
Wednesday 15 September 2010, 09:0010:00
Lubich, C (Universitaet Tuebingen, DE)
Wednesday 15 September 2010, 09:0010:00
Cambridge University
3012
http://sms.cam.ac.uk/media/1070829
Modulated Fourier expansions and the FermiPastaUlam problem
Lubich, C (Universitaet Tuebingen, DE)
Wednesday 15 September 2010, 09:0010:00
20100920T11:33:02+01:00
3012
1070829
true
16x9
false
no

Multiscale spaces for multiscale highcontrast problems and their applications
ucs_sms_34_1070638
http://sms.cam.ac.uk/media/1070638
Multiscale spaces for multiscale highcontrast problems and their applications
Efendiev, Y (Texas A&M University, US)
Tuesday 14 September 2010, 10:0011:00
Mon, 20 Sep 2010 09:55:19 +0100
Efendiev, Y
Steve Greenham
Isaac Newton Institute
Efendiev, Y
3cfb2dd3f20ad1141417699c65d8c8c6
900fce308d20cfb7eaec7933b0f88328
57f18f456664b3f520d205a4c300351a
Efendiev, Y (Texas A&M University, US)
Tuesday 14 September 2010, 10:0011:00
Efendiev, Y (Texas A&M University, US)
Tuesday 14 September 2010, 10:0011:00
Cambridge University
1794
http://sms.cam.ac.uk/media/1070638
Multiscale spaces for multiscale highcontrast problems and their applications
Efendiev, Y (Texas A&M University, US)
Tuesday 14 September 2010, 10:0011:00
20100920T10:06:31+01:00
1794
1070638
true
16x9
false
no

Multiple integrals under differential constraints: twoscale convergence and homogenization
ucs_sms_34_1070129
http://sms.cam.ac.uk/media/1070129
Multiple integrals under differential constraints: twoscale convergence and homogenization
Fonseca, I (Carnegie Mellon University)
Monday 13 September 2010, 16:0017:00
Fri, 17 Sep 2010 16:31:56 +0100
Fonseca, I
Steve Greenham
Isaac Newton Institute
Fonseca, I
e5a904e1b02f559a42c7e5e05496f068
e0c24608d4c8c356f6bf395d38b8f3b5
d747e024752a570423e3e43f77f902ca
Fonseca, I (Carnegie Mellon University)
Monday 13 September 2010, 16:0017:00
Fonseca, I (Carnegie Mellon University)
Monday 13 September 2010, 16:0017:00
Cambridge University
3499
http://sms.cam.ac.uk/media/1070129
Multiple integrals under differential constraints: twoscale convergence and homogenization
Fonseca, I (Carnegie Mellon University)
Monday 13 September 2010, 16:0017:00
20100917T16:32:00+01:00
3499
1070129
true
16x9
false
no

Nanomechanics of biomolecules: whether oscillatory details are important or not
ucs_sms_34_800
http://sms.cam.ac.uk/media/800
Nanomechanics of biomolecules: whether oscillatory details are important or not
Schuette, C (Free University of Berlin)
Wednesday 28 March 2007, 09:0009:45
Fri, 22 Feb 2008 15:22:36 +0000
Schuette, C
Isaac Newton Institute
Schuette, C
7f8500caa8890b3a0b66e57761ed5c80
c5b966c8d483ce2abb41f391fb18261b
79d96808ec290bb85225e763907c1b95
9c020ff77b4891fe2b1a62609e7e7f31
Schuette, C (Free University of Berlin)
Wednesday 28 March 2007, 09:0009:45
Schuette, C (Free University of Berlin)
Wednesday 28 March 2007, 09:0009:45
Cambridge University
3052
http://sms.cam.ac.uk/media/800
Nanomechanics of biomolecules: whether oscillatory details are important or not
Schuette, C (Free University of Berlin)
Wednesday 28 March 2007, 09:0009:45
20130415T12:32:05+01:00
3052
800
true
4x3
false
no

Non polynomial approximations of wave problems
ucs_sms_34_1069877
http://sms.cam.ac.uk/media/1069877
Non polynomial approximations of wave problems
Perugia, I (University of Pavia, IT)
Monday 13 September 2010, 09:0010:00
Fri, 17 Sep 2010 14:53:11 +0100
Perugia, I
Steve Greenham
Isaac Newton Institute
Perugia, I
f48c6e33391c10dca2c1dc4c765bc725
d268ddb454fc58c29f054085381f5eab
3a506be0c1bfbb5d9442441153184d18
Perugia, I (University of Pavia, IT)
Monday 13 September 2010, 09:0010:00
Perugia, I (University of Pavia, IT)
Monday 13 September 2010, 09:0010:00
Cambridge University
3571
http://sms.cam.ac.uk/media/1069877
Non polynomial approximations of wave problems
Perugia, I (University of Pavia, IT)
Monday 13 September 2010, 09:0010:00
20100917T14:53:15+01:00
3571
1069877
true
16x9
false
no

Nonlinear hyperbolic conservation laws: diffusivedispersive limits
ucs_sms_34_1071649
http://sms.cam.ac.uk/media/1071649
Nonlinear hyperbolic conservation laws: diffusivedispersive limits
Correia, JMC (Universidade de Évora, PT)
Friday 17 September 2010, 10:1010:40
Tue, 21 Sep 2010 10:22:06 +0100
Correia, JMC
Steve Greenham
Isaac Newton Institute
Correia, JMC
561385c21b84a9829f0099cbd687fa5a
6317e5bdf261658d72fbba648900a97f
4aa241a3b409e51cc95d38ceac5ea77b
Correia, JMC (Universidade de Évora, PT)
Friday 17 September 2010, 10:1010:40
Correia, JMC (Universidade de Évora, PT)
Friday 17 September 2010, 10:1010:40
Cambridge University
1384
http://sms.cam.ac.uk/media/1071649
Nonlinear hyperbolic conservation laws: diffusivedispersive limits
Correia, JMC (Universidade de Évora, PT)
Friday 17 September 2010, 10:1010:40
20100921T10:22:11+01:00
1384
1071649
true
16x9
false
no

Norms and condition numbers of oscillatory integral operators in acoustic scattering
ucs_sms_34_796
http://sms.cam.ac.uk/media/796
Norms and condition numbers of oscillatory integral operators in acoustic scattering
ChandlerWilde, SN (Reading)
Wednesday 28 March 2007, 16:1517:00
Fri, 22 Feb 2008 09:16:55 +0000
ChandlerWilde, SN
Isaac Newton Institute
ChandlerWilde, SN
7deec579fd240503322997788b29959b
367203b330fc37fec353de4d2b12b973
4f805a756a1bd0e7f3d9798892c4f448
a17b649dcc89d4af0755ac4d04894d1c
ChandlerWilde, SN (Reading)
Wednesday 28 March 2007, 16:1517:00
ChandlerWilde, SN (Reading)
Wednesday 28 March 2007, 16:1517:00
Cambridge University
2845
http://sms.cam.ac.uk/media/796
Norms and condition numbers of oscillatory integral operators in acoustic scattering
ChandlerWilde, SN (Reading)
Wednesday 28 March 2007, 16:1517:00
In this talk we discuss domain and boundary integral operators arising in the theory and numerical treatment by integral equation methods of the Helmholtz equation or time harmonic Maxwell equations. These integral operators are increasingly oscillatory as the wave number k increases (k proportional to the frequency of the time harmonic incident field). An interesting theoretical question, also of practical significance, is the dependence of the norms of these integral operators and their inverses on k. We investigate this question, in particular for classical single and doublelayer potential operators for the Helmholtz equation on the boundary of bounded Lipschitz domains. The results and techniques used depend on the domain geometry. In certain 2D cases (for example where the boundary is a starlike polygon) bounds which are sharp in their dependence on k can be obtained, but there are many open problems for more general geometries and higher dimension.
Related Links
* http://www.rdg.ac.uk/~sms03snc  Home page
* http://www.rdg.ac.uk/~sms03snc/monk_bounded.pdf  A relevant preprint
20130415T12:31:49+01:00
2845
796
true
4x3
false
no

Numerical approximation of multivariate highly oscillatory integrals
ucs_sms_34_799
http://sms.cam.ac.uk/media/799
Numerical approximation of multivariate highly oscillatory integrals
Olver, S (Cambridge)
Wednesday 28 March 2007, 14:3015:00
Fri, 22 Feb 2008 14:21:01 +0000
Olver, S
Isaac Newton Institute
Olver, S
16776415a093ddc992e41d98fb1f15c6
cb2b0833d01e0724dacb1b5c31df9d17
a38ea5cb18a00eab6a96cefad60725ea
335649c76ed17fb2971893ec99937fb6
Olver, S (Cambridge)
Wednesday 28 March 2007, 14:3015:00
Olver, S (Cambridge)
Wednesday 28 March 2007, 14:3015:00
Cambridge University
1980
http://sms.cam.ac.uk/media/799
Numerical approximation of multivariate highly oscillatory integrals
Olver, S (Cambridge)
Wednesday 28 March 2007, 14:3015:00
The aim of this talk is to describe several methods for numerically approximating the integral of a multivariate highly oscillatory function. We begin with a review of the asymptotic and Filontype methods developed by Iserles and Nørsett. Using a method developed by Levin as a point of departure we will construct a new method that uses the same information as a Filontype method, and obtains the same asymptotic order, while not requiring moments. This allows us to integrate over nonsimplicial domains, and with complicated oscillators. We also present a method for approximating oscillatory integrals with stationary points.
20130415T12:31:39+01:00
1980
799
true
4x3
false
no

Numerical integration for numerical homogenizations methods
ucs_sms_34_1070608
http://sms.cam.ac.uk/media/1070608
Numerical integration for numerical homogenizations methods
Addulle, A (EPFL, CH)
Tuesday 14 September 2010, 09:0010:00
Mon, 20 Sep 2010 09:37:30 +0100
Addulle, A
Steve Greenham
Isaac Newton Institute
Addulle, A
e70fcb4d2e6ce7a11ca978471871428b
b358cd9eba2806e7cc0f2ef74ec7c67a
d3d99e5dd1a9b6d5be8c4f5fda4df8ba
Addulle, A (EPFL, CH)
Tuesday 14 September 2010, 09:0010:00
Addulle, A (EPFL, CH)
Tuesday 14 September 2010, 09:0010:00
Cambridge University
3671
http://sms.cam.ac.uk/media/1070608
Numerical integration for numerical homogenizations methods
Addulle, A (EPFL, CH)
Tuesday 14 September 2010, 09:0010:00
20100920T09:37:35+01:00
3671
1070608
true
16x9
false
no

Numerical oscillations over long times
ucs_sms_34_785
http://sms.cam.ac.uk/media/785
Numerical oscillations over long times
Lubich, C (Tuebingen)
Tuesday 27 March 2007, 09:0009:45
Wed, 20 Feb 2008 09:07:31 +0000
Lubich, C
Isaac Newton Institute
Lubich, C
034029d238203ad0b50698de2300849f
798d357eae6417371eb0a4904d61c364
6facd26eaf8a74247dd30425ebbbb59b
e75ae577c0fb4b3519d89187dca2c4e2
Lubich, C (Tuebingen)
Tuesday 27 March 2007, 09:0009:45
Lubich, C (Tuebingen)
Tuesday 27 March 2007, 09:0009:45
Cambridge University
2618
http://sms.cam.ac.uk/media/785
Numerical oscillations over long times
Lubich, C (Tuebingen)
Tuesday 27 March 2007, 09:0009:45
20130415T12:31:26+01:00
2618
785
true
4x3
false
no

Numerical solution of Riemann–Hilbert problems: Painlevé II
ucs_sms_34_1070918
http://sms.cam.ac.uk/media/1070918
Numerical solution of Riemann–Hilbert problems: Painlevé II
Olver, S (Oxford University, UK)
Wednesday 15 September 2010, 14:0014:30
Mon, 20 Sep 2010 14:06:15 +0100
Olver, S
Steve Greenham
Isaac Newton Institute
Olver, S
73e867d68800ce26513733164fc1f0a4
4cef93f5c372b3fdcd135b45a0ec3b77
bcc89c08f2204c69ebfbf1d17848cdb4
Olver, S (Oxford University, UK)
Wednesday 15 September 2010, 14:0014:30
Olver, S (Oxford University, UK)
Wednesday 15 September 2010, 14:0014:30
Cambridge University
2011
http://sms.cam.ac.uk/media/1070918
Numerical solution of Riemann–Hilbert problems: Painlevé II
Olver, S (Oxford University, UK)
Wednesday 15 September 2010, 14:0014:30
20100920T14:06:19+01:00
2011
1070918
true
16x9
false
no

Numerical study of oscillatory regimes in the KadomtsevPetviashvili equation
ucs_sms_34_777
http://sms.cam.ac.uk/media/777
Numerical study of oscillatory regimes in the KadomtsevPetviashvili equation
Klein, C (MPI)
Monday 26 March 2007, 17:0017:30
Tue, 19 Feb 2008 11:31:21 +0000
Klein, C
Isaac Newton Institute
Klein, C
68508f803849c27fa997e735f5e4331e
44088ef39148ded6d28dbc985cab09a6
91c06da9a9f88929e2a169ff603a8f3a
c9d285b94c5dca57f8fc5e447df87a51
Klein, C (MPI)
Monday 26 March 2007, 17:0017:30
Klein, C (MPI)
Monday 26 March 2007, 17:0017:30
Cambridge University
1614
http://sms.cam.ac.uk/media/777
Numerical study of oscillatory regimes in the KadomtsevPetviashvili equation
Klein, C (MPI)
Monday 26 March 2007, 17:0017:30
The aim of this talk is the accurate numerical study of the KP equation. In particular we are concerned with the small dispersion limit of this model, where no comprehensive analytical description exists so far. To this end we first study a similar highly oscillatory regime for asymptotically small solutions, which can be described via the DaveyStewartson system. In a second step we investigate numerically the small dispersion limit of the KP model in the case of large amplitudes. Similarities and differences to the much better studied Kortewegde Vries situation are discussed as well as the dependence of the limit on the additional transverse coordinate.
Related Links
* http://www.mis.mpg.de/preprints/2005/prepr2005_124.html  preprint
20130415T12:31:13+01:00
1614
777
true
4x3
false
no

Numerically evaluating the Evans function by Magnus integration
ucs_sms_34_177
http://sms.cam.ac.uk/media/177
Numerically evaluating the Evans function by Magnus integration
Malham, SJA (HeriotWatt)
Thursday 29 March 2007, 10:3011:00
Thu, 26 Jul 2007 09:32:02 +0100
Malham, SJA
Isaac Newton Institute
Malham, SJA
1761f57befd9ac2880f2bf6964588228
702514e6099204591067a0329dcadf9d
bdb5f2ff62d388483e8ca78ef5af293d
9e8206afc5db6a6558fd29a960e4c1fe
Malham, SJA (HeriotWatt)
Thursday 29 March 2007, 10:3011:00
Malham, SJA (HeriotWatt)
Thursday 29 March 2007, 10:3011:00
Cambridge University
1913
http://sms.cam.ac.uk/media/177
Numerically evaluating the Evans function by Magnus integration
Malham, SJA (HeriotWatt)
Thursday 29 March 2007, 10:3011:00
We use Magnus methods to compute the Evans function for spectral problems as arise when determining the linear stability of travelling wave solutions to reactiondiffusion and related partial differential equations. In a typical application scenario, we need to repeatedly sample the solution to a system of linear nonautonomous ordinary differential equations for different values of one or more parameters as we detect and locate the zeros of the Evans function in the right half of the complex plane.
In this situation, a substantial portion of the computational effortthe numerical evaluation of the iterated integrals which appear in the Magnus seriescan be performed independent of the parameters and hence needs to be done only once. More importantly, for any given tolerance Magnus integrators possess lower bounds on the step size which are uniform across large regions of parameter space and which can be estimated a priori. We demonstrate, analytically as well as through numerical experiment, that these features render Magnus integrators extremely robust and, depending on the regime of interest, efficient in comparison with standard ODE solvers.
20130415T12:31:04+01:00
1913
177
true
4x3
false
no

On approximation of special oscillating series of quantum theory
ucs_sms_34_1070181
http://sms.cam.ac.uk/media/1070181
On approximation of special oscillating series of quantum theory
Karatsuba, E (Russian Academy of Sciences, RU)
Monday 13 September 2010, 18:0018:30
Fri, 17 Sep 2010 16:47:48 +0100
Karatsuba, E
Steve Greenham
Isaac Newton Institute
Karatsuba, E
201cf60c5447b61c072abbaa05317651
4e1fd07f1decc88e23313a737d1fb4d1
82475282502e6ba0528893351bf461d7
Karatsuba, E (Russian Academy of Sciences, RU)
Monday 13 September 2010,...
Karatsuba, E (Russian Academy of Sciences, RU)
Monday 13 September 2010, 18:0018:30
Cambridge University
1909
http://sms.cam.ac.uk/media/1070181
On approximation of special oscillating series of quantum theory
Karatsuba, E (Russian Academy of Sciences, RU)
Monday 13 September 2010, 18:0018:30
20100917T16:47:51+01:00
1909
1070181
true
16x9
false
no

On the numerical solution of firstkind Volterra integral equations with highly oscillatory kernels
ucs_sms_34_1070105
http://sms.cam.ac.uk/media/1070105
On the numerical solution of firstkind Volterra integral equations with highly oscillatory kernels
Brunner, H (Memorial University of Newfoundland, CA)
Monday 13 September 2010, 15:0015:30
Fri, 17 Sep 2010 15:58:30 +0100
Brunner, H
Steve Greenham
Isaac Newton Institute
Brunner, H
8845bac724e34bec4676d84a1dcf9a69
6ec6b683e34e440fad2285d4a021adf8
933d4202b5c5f40bbe266220ade5fba4
Brunner, H (Memorial University of Newfoundland, CA)
Monday 13 September 2010,...
Brunner, H (Memorial University of Newfoundland, CA)
Monday 13 September 2010, 15:0015:30
Cambridge University
1993
http://sms.cam.ac.uk/media/1070105
On the numerical solution of firstkind Volterra integral equations with highly oscillatory kernels
Brunner, H (Memorial University of Newfoundland, CA)
Monday 13 September 2010, 15:0015:30
20100917T15:58:34+01:00
1993
1070105
true
16x9
false
no

On the zeromass constraint for KP type equations
ucs_sms_34_805
http://sms.cam.ac.uk/media/805
On the zeromass constraint for KP type equations
Saut, JC (ParisSud)
Friday 30 March 2007, 09:4510:30
Mon, 25 Feb 2008 16:23:12 +0000
Saut, JC
Isaac Newton Institute
Saut, JC
573cd9b90689cbd8eee563bfd66c6910
fe540ec65ac9c0c3dc53d48065c5e039
eeb91704053d941b8784ca585d0e3ba3
40cb66fdfb3d01e6bcdb525a3cf05e9f
Saut, JC (ParisSud)
Friday 30 March 2007, 09:4510:30
Saut, JC (ParisSud)
Friday 30 March 2007, 09:4510:30
Cambridge University
2760
http://sms.cam.ac.uk/media/805
On the zeromass constraint for KP type equations
Saut, JC (ParisSud)
Friday 30 March 2007, 09:4510:30
For a rather general class of equations of KadomtsevPetviashvili (KP) type, we prove that the zeromass constraint (in x) is satisfied at any non zero time even if it is not satisfied at initial time zero. Our results are based on a precise analysis of the fundamental solution of the linear part and of its anti xderivative.
20130415T12:30:47+01:00
2760
805
true
4x3
false
no

On Wigner and Bohmian Measures
ucs_sms_34_1070162
http://sms.cam.ac.uk/media/1070162
On Wigner and Bohmian Measures
Markowich, P (University of Cambridge, UK)
Monday 13 September 2010, 17:0018:00
Fri, 17 Sep 2010 16:39:55 +0100
Markowich, P
Steve Greenham
Isaac Newton Institute
Markowich, P
ddb1f5afafde919707bd36a617f132eb
fd7708607cbd105fc8396206c8a0e5f8
c6780447befd0e37e78ca9c54e736d66
Markowich, P (University of Cambridge, UK)
Monday 13 September 2010,...
Markowich, P (University of Cambridge, UK)
Monday 13 September 2010, 17:0018:00
Cambridge University
2768
http://sms.cam.ac.uk/media/1070162
On Wigner and Bohmian Measures
Markowich, P (University of Cambridge, UK)
Monday 13 September 2010, 17:0018:00
20100917T16:39:58+01:00
2768
1070162
true
16x9
false
no

Optimal Tuning of Hybrid Monte Carlo
ucs_sms_34_1071091
http://sms.cam.ac.uk/media/1071091
Optimal Tuning of Hybrid Monte Carlo
SanzSerna, C (Universidad de Valladolid, ES)
Wednesday 15 September 2010, 16:0017:00
Mon, 20 Sep 2010 16:04:15 +0100
SanzSerna, C
Steve Greenham
Isaac Newton Institute
SanzSerna, C
8a4ab1ce0860dc30800900283c6700cc
e6703714c7839ec5c7646e90378d01c6
b37dcbf5d931810d07955da1f0d323ad
SanzSerna, C (Universidad de Valladolid, ES)
Wednesday 15 September 2010,...
SanzSerna, C (Universidad de Valladolid, ES)
Wednesday 15 September 2010, 16:0017:00
Cambridge University
3484
http://sms.cam.ac.uk/media/1071091
Optimal Tuning of Hybrid Monte Carlo
SanzSerna, C (Universidad de Valladolid, ES)
Wednesday 15 September 2010, 16:0017:00
This is joint work with A. Beskos, N.S. Pillai, G.O. Roberts and A.M. Stuart
20100920T16:04:19+01:00
3484
1071091
true
16x9
false
no

Oscillation Analysis of Some Hybrid Dynamical Systems of Transmission Pipelines
ucs_sms_34_1071264
http://sms.cam.ac.uk/media/1071264
Oscillation Analysis of Some Hybrid Dynamical Systems of Transmission Pipelines
Mul, O (TNTU Ivan Pul'uj, UA)
Thursday 16 September 2010, 12:0012:30
Mon, 20 Sep 2010 17:15:57 +0100
Mul, O
Steve Greenham
Isaac Newton Institute
Mul, O
69a70429baa25ec66b8577368553615c
030973e0546e42a81ffe4ba0267ebc99
c10fe299d0267ec8654d1a30bf162dfb
Mul, O (TNTU Ivan Pul'uj, UA)
Thursday 16 September 2010, 12:0012:30
Mul, O (TNTU Ivan Pul'uj, UA)
Thursday 16 September 2010, 12:0012:30
Cambridge University
1479
http://sms.cam.ac.uk/media/1071264
Oscillation Analysis of Some Hybrid Dynamical Systems of Transmission Pipelines
Mul, O (TNTU Ivan Pul'uj, UA)
Thursday 16 September 2010, 12:0012:30
20100920T17:16:00+01:00
1479
1071264
true
16x9
false
no

Oscillatory diffusion equation
ucs_sms_34_1071566
http://sms.cam.ac.uk/media/1071566
Oscillatory diffusion equation
Hermann, L (Czech Technical University, CZ)
Thursday 16 September 2010, 17:0017:30
Tue, 21 Sep 2010 09:52:24 +0100
Hermann, L
Steve Greenham
Isaac Newton Institute
Hermann, L
c5ed7d4eee55d206ba1c433bd221c240
264059b0c9becfeb7fb88543f9214964
fd74bd2e14a81e6257106494774cd4e8
Hermann, L (Czech Technical University, CZ)
Thursday 16 September 2010,...
Hermann, L (Czech Technical University, CZ)
Thursday 16 September 2010, 17:0017:30
Cambridge University
1794
http://sms.cam.ac.uk/media/1071566
Oscillatory diffusion equation
Hermann, L (Czech Technical University, CZ)
Thursday 16 September 2010, 17:0017:30
20100921T09:52:27+01:00
1794
1071566
true
16x9
false
no

Oscillatory systems with three separated timescales
ucs_sms_34_1070707
http://sms.cam.ac.uk/media/1070707
Oscillatory systems with three separated timescales
Ariel, G (BarIlan University, IL)
Tuesday 14 September 2010, 14:3015:00
Mon, 20 Sep 2010 10:20:56 +0100
Ariel, G
Steve Greenham
Isaac Newton Institute
Ariel, G
b7f8d353f0df9184753042e2ff23d7d4
29f0b2233e70db7162467211b8185dfb
2bd89bc3badea7ecb76eca2a50f9c8df
Ariel, G (BarIlan University, IL)
Tuesday 14 September 2010, 14:3015:00
Ariel, G (BarIlan University, IL)
Tuesday 14 September 2010, 14:3015:00
Cambridge University
1876
http://sms.cam.ac.uk/media/1070707
Oscillatory systems with three separated timescales
Ariel, G (BarIlan University, IL)
Tuesday 14 September 2010, 14:3015:00
20100920T10:21:00+01:00
1876
1070707
true
16x9
false
no

Preconditioning the Helmholtz equation using rapidly oscillating functions
ucs_sms_34_1070744
http://sms.cam.ac.uk/media/1070744
Preconditioning the Helmholtz equation using rapidly oscillating functions
Stolk, C (University of Amsterdam, NL)
Tuesday 14 September 2010, 16:3017:00
Mon, 20 Sep 2010 10:39:11 +0100
Stolk, C
Steve Greenham
Isaac Newton Institute
Stolk, C
9bafb19f73f3644cd09dfb04f3f053c7
6d300a3aa4ff3090347a6472ec9079d5
06be2a0dfa9bc1a692e3a3c183939532
Stolk, C (University of Amsterdam, NL)
Tuesday 14 September 2010, 16:3017:00
Stolk, C (University of Amsterdam, NL)
Tuesday 14 September 2010, 16:3017:00
Cambridge University
1773
http://sms.cam.ac.uk/media/1070744
Preconditioning the Helmholtz equation using rapidly oscillating functions
Stolk, C (University of Amsterdam, NL)
Tuesday 14 September 2010, 16:3017:00
20100920T10:39:15+01:00
1773
1070744
true
16x9
false
no

Rigorous leading order asymptotic solutions of the semiclassical focusing NLS equation
ucs_sms_34_174
http://sms.cam.ac.uk/media/174
Rigorous leading order asymptotic solutions of the semiclassical focusing NLS equation
Venakides, S (Duke)
Thursday 29 March 2007, 09:4510:30
Thu, 26 Jul 2007 08:06:59 +0100
Venakides, S
Isaac Newton Institute
Venakides, S
a89c982ee5dc71b18eaa960243fc3999
965ed3b9f5a5b7affc4b419494621833
b7d4cc1d3ab5e83c5f06ee6a2b5aebc7
6ddd35e948442815183000b2e6adc1fd
Venakides, S (Duke)
Thursday 29 March 2007, 09:4510:30
Venakides, S (Duke)
Thursday 29 March 2007, 09:4510:30
Cambridge University
2644
http://sms.cam.ac.uk/media/174
Rigorous leading order asymptotic solutions of the semiclassical focusing NLS equation
Venakides, S (Duke)
Thursday 29 March 2007, 09:4510:30
Solving an integrable nonlinear differential equation reduces to solving the matrix RiemannHilbert problem (RHP) that arises from the invese scattering procedure. Typically, this means finding a matrix m(z) that is analytic in the closed complex plane except on a given oriented contour on which m(z) has a jump discontinuity: the value of m(z) left of the contour equals its value on the right multiplied by a given "jump matrix'' V(z). The spacetime variables appear as parameters in the jump matrix; the complex variable z is the spectral variable of the linear differential operator that effects the linearization of the nonlinear system through the Lax pair associated with the system.
We derive an explicit formula for the leading asymptotic (oscillatory) solution of the semiclassical focusing nonlinear Schroedinger equation for a class of initial data and prove an error estimate. We extend the analysis when time is large, the asymptotic formula is then expressed in terms of elementary functions.
We first outline the notion of a Lax pair and how the RHP arises naturally.We then describe the steepest descent procedure that leads to an explicitly solvable asymptotic RHP through jump matrix factorizations and contour deformations. We also outline the gfunciton mechanism and describe how it determines the successful deformations.
20130415T12:33:51+01:00
2644
174
true
4x3
false
no

RungaKutta convolution quadrature: convergence theory and applications to timedomain BIE of acoustic scattering
ucs_sms_34_1070801
http://sms.cam.ac.uk/media/1070801
RungaKutta convolution quadrature: convergence theory and applications to timedomain BIE of acoustic scattering
Banjai, L (MaxPlanckInstitut fur Mathematik, DE)
Tuesday 14 September 2010, 18:0018:30
Mon, 20 Sep 2010 10:57:24 +0100
Banjai, L
Steve Greenham
Isaac Newton Institute
Banjai, L
9896ea3ff693400b9d11cdecfa8f69ba
89d091a52309069c1fe7098f9b31a95d
838d4ed7f80fee4304a60f4ee569390f
Banjai, L (MaxPlanckInstitut fur Mathematik, DE)
Tuesday 14 September 2010,...
Banjai, L (MaxPlanckInstitut fur Mathematik, DE)
Tuesday 14 September 2010, 18:0018:30
Cambridge University
1673
http://sms.cam.ac.uk/media/1070801
RungaKutta convolution quadrature: convergence theory and applications to timedomain BIE of acoustic scattering
Banjai, L (MaxPlanckInstitut fur Mathematik, DE)
Tuesday 14 September 2010, 18:0018:30
20100920T10:57:28+01:00
1673
1070801
true
16x9
false
no

Small dispersion limit of the KdV and semiclassical limit of focusing NLS
ucs_sms_34_797
http://sms.cam.ac.uk/media/797
Small dispersion limit of the KdV and semiclassical limit of focusing NLS
Grava, T (SISSA)
Wednesday 28 March 2007, 10:3011:00
Fri, 22 Feb 2008 10:48:47 +0000
Grava, T
Isaac Newton Institute
Grava, T
d772ad356cf2d98f4d1a1d11aa837135
cc50df04db060ee75ff090f5677ca9a1
a4f63bca1531811bbd2737fbeb30ba9e
dfc7261fa7ac38e46da5d1c65ca8c193
Grava, T (SISSA)
Wednesday 28 March 2007, 10:3011:00
Grava, T (SISSA)
Wednesday 28 March 2007, 10:3011:00
Cambridge University
1565
http://sms.cam.ac.uk/media/797
Small dispersion limit of the KdV and semiclassical limit of focusing NLS
Grava, T (SISSA)
Wednesday 28 March 2007, 10:3011:00
We compare numerically the small dispersion limit of the Korteweg de Vries equation with the asymptotic formulas obtained in the works of LaxLevermore and DeifVenakides and Zhou. We compare numerically the semiclassical limit of the focusing nonlinear Schrodinger equation with the asymptotic formula obtained in the works of KamvissisMcLaughlinMiller and TovbisVenakidesZhou. As a results we outline the regions of the (x,t) where the above asymptotic formulas give a satisfactory description of the respective equations.
20130415T12:33:37+01:00
1565
797
true
4x3
false
no

Some remarks concerning exponential integrators
ucs_sms_34_788
http://sms.cam.ac.uk/media/788
Some remarks concerning exponential integrators
Quispel, R (La Trobe)
Tuesday 27 March 2007, 16:1517:00
Wed, 20 Feb 2008 14:56:37 +0000
Quispel, R
Isaac Newton Institute
Quispel, R
7c2d20c34e9632d74c93919cf193897e
f52a18b5c35ca1535ea86ce79de43ff7
c9d0447448d0e5a68e2aaee196ba554b
8770c725d8b48af031327603cb61f60b
Quispel, R (La Trobe)
Tuesday 27 March 2007, 16:1517:00
Quispel, R (La Trobe)
Tuesday 27 March 2007, 16:1517:00
Cambridge University
2664
http://sms.cam.ac.uk/media/788
Some remarks concerning exponential integrators
Quispel, R (La Trobe)
Tuesday 27 March 2007, 16:1517:00
20130415T12:33:27+01:00
2664
788
true
4x3
false
no

Spectral results for membrane with perturbed stiffness and mass density
ucs_sms_34_781
http://sms.cam.ac.uk/media/781
Spectral results for membrane with perturbed stiffness and mass density
Babych, N (Bath)
Tuesday 27 March 2007, 17:0017:30
Tue, 19 Feb 2008 14:50:28 +0000
Babych, N
Isaac Newton Institute
Babych, N
43e8e4db6dbe759aeaccce4a9f9547cc
dbf2a5dc138a65393162077cd2b80ce0
c3057f0f58577eec7a383e661df46e2c
d4a6644e427cce9a847705b79508d5fe
Babych, N (Bath)
Tuesday 27 March 2007, 17:0017:30
Babych, N (Bath)
Tuesday 27 March 2007, 17:0017:30
Cambridge University
2336
http://sms.cam.ac.uk/media/781
Spectral results for membrane with perturbed stiffness and mass density
Babych, N (Bath)
Tuesday 27 March 2007, 17:0017:30
We study the spectrum of a nonhomogeneous membrane that consists of two parts with strongly different stiffness and mass density. The small parameter describes the quotient of stiffness coefficients. The Mth power of the parameter is comparable to the ratio of densities. We show that the asymptotic behaviour of eigenvalues and eigenfunctions depends on rate M. We distinguish three cases M<1, M=1 and M>1.
The strong resolvent convergence of perturbed operators leads to loss of the completeness of limit eigenfunction system in both cases when M is different from 1. Therefore the limit operators describe only a part of the prelimit membrane vibrations. With an eye to close this gap we use the WKBasymptotic expansions with a quantized small parameter to prove the existence of other kind of eigenvibrations, namely high frequency vibrations.
In the critical case M=1 the limit operator is a nonselfadjoint one, nevertheless the perturbed operators are selfadjoint in a certain topology. The multiplicity of spectrum and structure of root spaces are investigated.
Complete asymptotic expansions for eigenelements are constructed and justified in each case of the perturbations.
20130415T12:33:18+01:00
2336
781
true
4x3
false
no

Strichartz estimates for the Schroedinger equation on a tree and applications
ucs_sms_34_1071506
http://sms.cam.ac.uk/media/1071506
Strichartz estimates for the Schroedinger equation on a tree and applications
Ignat, L (IMAR, RO)
Thursday 16 September 2010, 15:0015:30
Tue, 21 Sep 2010 09:20:51 +0100
Ignat, L
Steve Greenham
Isaac Newton Institute
Ignat, L
995f5ccb418e57b80fb9627f542e1a15
d6389e6522049f36a07f561f81901242
7cb4463fbe448f5773381224f0ed4037
Ignat, L (IMAR, RO)
Thursday 16 September 2010, 15:0015:30
Ignat, L (IMAR, RO)
Thursday 16 September 2010, 15:0015:30
Cambridge University
1455
http://sms.cam.ac.uk/media/1071506
Strichartz estimates for the Schroedinger equation on a tree and applications
Ignat, L (IMAR, RO)
Thursday 16 September 2010, 15:0015:30
20100921T09:20:56+01:00
1455
1071506
true
16x9
false
no

Tensor product method for radiative transfer
ucs_sms_34_1070789
http://sms.cam.ac.uk/media/1070789
Tensor product method for radiative transfer
Hiptmair, R (ETH Zurich, CH)
Thursday 16 September 2010, 14:0014:30
Mon, 20 Sep 2010 10:54:30 +0100
Hiptmair, R
Steve Greenham
Isaac Newton Institute
Hiptmair, R
9f44267144e553dc1190641deeff4bd1
5da23797a133034d06c82907b3034d40
c8928bd9a372d1071e7837659e0c42a4
Hiptmair, R (ETH Zurich, CH)
Thursday 16 September 2010, 14:0014:30
Hiptmair, R (ETH Zurich, CH)
Thursday 16 September 2010, 14:0014:30
Cambridge University
1859
http://sms.cam.ac.uk/media/1070789
Tensor product method for radiative transfer
Hiptmair, R (ETH Zurich, CH)
Thursday 16 September 2010, 14:0014:30
20100927T09:42:35+01:00
1859
1070789
true
16x9
false
no

The generalised eigenfunction method and timedependent linear waterwave impact on a vertical elastic plate
ucs_sms_34_1070899
http://sms.cam.ac.uk/media/1070899
The generalised eigenfunction method and timedependent linear waterwave impact on a vertical elastic plate
Peter, M (University of Augsburg, DE)
Wednesday 15 September 2010, 12:0012:30
Mon, 20 Sep 2010 13:44:01 +0100
Peter, M
Steve Greenham
Isaac Newton Institute
Peter, M
558ae406d1b4294cf23b0f6f3ac728ea
46f6323cd809a7861f1f204046671efb
946f76cde124712defab3c713d75c12b
Peter, M (University of Augsburg, DE)
Wednesday 15 September 2010, 12:0012:30
Peter, M (University of Augsburg, DE)
Wednesday 15 September 2010, 12:0012:30
Cambridge University
1648
http://sms.cam.ac.uk/media/1070899
The generalised eigenfunction method and timedependent linear waterwave impact on a vertical elastic plate
Peter, M (University of Augsburg, DE)
Wednesday 15 September 2010, 12:0012:30
20100920T13:44:06+01:00
1648
1070899
true
16x9
false
no

The Hybrid Monte Carlo Algorithm in High Dimensions
ucs_sms_34_1071144
http://sms.cam.ac.uk/media/1071144
The Hybrid Monte Carlo Algorithm in High Dimensions
Stuart, A (University of Warwick, UK)
Wednesday 15 September 2010, 17:0018:00
Mon, 20 Sep 2010 16:17:46 +0100
Stuart, A
Steve Greenham
Isaac Newton Institute
Stuart, A
67e49016306d427083df0c781b9732e0
699bc37b861a3ab600290baeb7e48279
e96dd1da992763120e84c2394ba6cda8
Stuart, A (University of Warwick, UK)
Wednesday 15 September 2010, 17:0018:00
Stuart, A (University of Warwick, UK)
Wednesday 15 September 2010, 17:0018:00
Cambridge University
3440
http://sms.cam.ac.uk/media/1071144
The Hybrid Monte Carlo Algorithm in High Dimensions
Stuart, A (University of Warwick, UK)
Wednesday 15 September 2010, 17:0018:00
20100920T16:17:50+01:00
3440
1071144
true
16x9
false
no

Thin domains with highly oscillating boundaries
ucs_sms_34_1071546
http://sms.cam.ac.uk/media/1071546
Thin domains with highly oscillating boundaries
Silva, RP (University of the State of São Paulo, BR)
Thursday 16 September 2010, 16:3017:00
Tue, 21 Sep 2010 09:41:03 +0100
Silva, RP
Steve Greenham
Isaac Newton Institute
Silva, RP
a6f4bf1867323446833619ab086d7968
e8eec34e44a7287c5ad01fd46551399d
4ee441d8dc00101be67f76ff763ddac1
Silva, RP (University of the State of São Paulo, BR)
Thursday 16 September...
Silva, RP (University of the State of São Paulo, BR)
Thursday 16 September 2010, 16:3017:00
Cambridge University
1355
http://sms.cam.ac.uk/media/1071546
Thin domains with highly oscillating boundaries
Silva, RP (University of the State of São Paulo, BR)
Thursday 16 September 2010, 16:3017:00
20100921T09:41:06+01:00
1355
1071546
true
16x9
false
no

Three recent results on asymptotics of oscillations
ucs_sms_34_817
http://sms.cam.ac.uk/media/817
Three recent results on asymptotics of oscillations
Berry, M (Bristol)
Monday 26 March 2007, 10:0011:00
Thu, 06 Mar 2008 15:18:18 +0000
Berry, M
Isaac Newton Institute
Berry, M
ac11c3405e19115f4788e9a39ce155d1
b31d8441239edb7187864e256fa05631
257695c7984438af121654f09f94428b
219f5ff7a4e5e925b8b3157a7b32944f
Berry, M (Bristol)
Monday 26 March 2007, 10:0011:00
Berry, M (Bristol)
Monday 26 March 2007, 10:0011:00
Cambridge University
3346
http://sms.cam.ac.uk/media/817
Three recent results on asymptotics of oscillations
Berry, M (Bristol)
Monday 26 March 2007, 10:0011:00
The results are separate, and apparently paradoxical, and have implications for physics. First, when two exponentials compete, their interference can be dominated by the contribution with smaller exponent. Second, repeated differentiation of almost all functions in a wide class generates trigonometric oscillations (‘almost all functions tend to cosx’). Third, it is possible to find bandlimited functions that oscillate arbitrarily faster than their fastest Fourier component (‘superoscillations’).
20130415T12:32:50+01:00
3346
817
true
4x3
false
no

Tunnel effect for KramersFokkerPlanck type operators (joint work with F Herau and M Hitrik)
ucs_sms_34_794
http://sms.cam.ac.uk/media/794
Tunnel effect for KramersFokkerPlanck type operators (joint work with F Herau and M Hitrik)
Sjostrand, J (Ecole Polytechnique)
Tuesday 27 March 2007, 14:1515:00
Thu, 21 Feb 2008 15:56:28 +0000
Sjostrand, J
Isaac Newton Institute
Sjostrand, J
b9149639f5d3d49d04c43ff26eece63c
cc0e44b4f37ec7022b8dc277742ea955
6d94043a95cbeac57f62c13c13fc011a
3fd800856f73f911fa39f504e9d5b91d
Sjostrand, J (Ecole Polytechnique)
Tuesday 27 March 2007, 14:1515:00
Sjostrand, J (Ecole Polytechnique)
Tuesday 27 March 2007, 14:1515:00
Cambridge University
3068
http://sms.cam.ac.uk/media/794
Tunnel effect for KramersFokkerPlanck type operators (joint work with F Herau and M Hitrik)
Sjostrand, J (Ecole Polytechnique)
Tuesday 27 March 2007, 14:1515:00
For a large class of KramersFokkerPlanck type operators, we determine in the semiclassical (here the low temperature) limit the full asymptotic expansion of the splitting between the lowest eigenvalue (0) and the next one. In a previous work with Herau and C. Stolk we did so in the case when a certain potential (or exponent of a Maxwellian) has preciely one local minimum and then the splitting is "large". In this new work we treat the case when the potential has two local minima. Then the splitting is exponentially small and related to a tunnel effect between the minima. Our most direct source of inspiration has been works by HerauF.Nier, B.HelfferNier, but our methods are quite different.
20130415T12:32:40+01:00
3068
794
true
4x3
false
no

Upscaling of network models for porous media
ucs_sms_34_1071524
http://sms.cam.ac.uk/media/1071524
Upscaling of network models for porous media
Tsai, YH (University of Texas at Austin)
Thursday 16 September 2010, 16:0016:30
Tue, 21 Sep 2010 09:33:59 +0100
Tsai, YH
Steve Greenham
Isaac Newton Institute
Tsai, YH
4fca6aec1a001e248cd3b3e3042a1226
8df629f26fbf330e9749f2c75f33fc88
15c8095927e3af4604602c02ba4d823f
Tsai, YH (University of Texas at Austin)
Thursday 16 September 2010,...
Tsai, YH (University of Texas at Austin)
Thursday 16 September 2010, 16:0016:30
Cambridge University
1899
http://sms.cam.ac.uk/media/1071524
Upscaling of network models for porous media
Tsai, YH (University of Texas at Austin)
Thursday 16 September 2010, 16:0016:30
20100921T09:34:03+01:00
1899
1071524
true
16x9
false
no

Variance reduction in stochastic homogenization using antithetic variables
ucs_sms_34_1070686
http://sms.cam.ac.uk/media/1070686
Variance reduction in stochastic homogenization using antithetic variables
Legoll, F (ENPC, FR)
Tuesday 14 September 2010, 14:0014:30
Mon, 20 Sep 2010 10:11:38 +0100
Legoll, F
Steve Greenham
Isaac Newton Institute
Legoll, F
d4817f04efb19b6df395ada44d9cd7e5
c5f60297e7824b990b4069547087f035
2fa052f910e333cf2f9fec55e5a5cc95
Legoll, F (ENPC, FR)
Tuesday 14 September 2010, 14:0014:30
Legoll, F (ENPC, FR)
Tuesday 14 September 2010, 14:0014:30
Cambridge University
1857
http://sms.cam.ac.uk/media/1070686
Variance reduction in stochastic homogenization using antithetic variables
Legoll, F (ENPC, FR)
Tuesday 14 September 2010, 14:0014:30
20100920T10:11:43+01:00
1857
1070686
true
16x9
false
no

Welcome by ESF Rapporteur
ucs_sms_34_1071714
http://sms.cam.ac.uk/media/1071714
Welcome by ESF Rapporteur
SanzSerna, C
Monday 13 September 2010, 08:5009:00
Tue, 21 Sep 2010 11:05:56 +0100
SanzSerna, C
Steve Greenham
Isaac Newton Institute
SanzSerna, C
7d154b200acd6e23e3ed25e986c82612
230f7909da1d56591fbbede7e85d0190
90d631594a9f1a2f908b253c183e4433
SanzSerna, C
Monday 13 September 2010, 08:5009:00
SanzSerna, C
Monday 13 September 2010, 08:5009:00
Cambridge University
443
http://sms.cam.ac.uk/media/1071714
Welcome by ESF Rapporteur
SanzSerna, C
Monday 13 September 2010, 08:5009:00
20100921T11:05:59+01:00
443
1071714
true
16x9
false
no
34