HOP
15 January 2007 to 6 July 2007
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.
The immediate motivation for this programme originates in a number of recent important advances in theoretical and computational aspects of high oscillation, in particular
Each of these developments per se is highly significant, yet it falls short of providing us with a decisive answer to the full range of questions arising in highly oscillatory phenomena. In their totality they represent a genuine revolution in our understanding of high oscillation. This places tremendous added value on bringing all these developments together and weaving the different strands into a unified theory and practice.
Click here to download the programme's final scientific report
Title | Year | Programme | |
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A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scatteringAuthors: Ivan Graham, VP Smyshlyaev, V Dominguez |
2006 | HOP | 21 October 2016 |
From high oscillation to rapid approximation III: Multivariate expansionsAuthors: Syvert Norsett, Arieh Iserles |
2006 | HOP | 21 October 2016 |
Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansionsAuthors: D Cohen, Ernst Hairer, Christian Lubich |
2006 | HOP | 21 October 2016 |
Stabilized FEM-BEM coupling for Maxwell transmission problemsAuthors: R Hiptmair, P Meury |
2006 | HOP | 21 October 2016 |
Perfectly matched layers in 1-d : energy decay for continuous and semi-discrete wavesAuthors: Sylvain Ervedoza, Enrique Zuazua |
2006 | HOP | 21 October 2016 |
Spectral semi-discretisations of weakly nonlinear wave equations over long timesAuthors: Christian Lubich, Ernst Hairer |
2006 | HOP | 21 October 2016 |
Conservation of energy, momentum and actions in numerical discretizations of nonlinear wave equationsAuthors: Ernst Hairer, Christian Lubich, D Cohen |
2006 | HOP | 21 October 2016 |
Convergence of a two-grid algorithm for the control of the wave equationAuthors: Enrique Zuazua, Liviu Ignat |
2006 | HOP | 21 October 2016 |
Stability of the periodic Toda lattice under short range perturbationsAuthors: G Teschl, Spyridon Kamvissis |
2006 | HOP | 21 October 2016 |
Finite-order integration weights can be dangerousAuthors: Ian Sloan |
2006 | HOP | 21 October 2016 |
On multisymplecticity of partitioned Runge-Kutta methodsAuthors: BN Ryland, Robert McLachlan |
2006 | HOP | 21 October 2016 |
An alternating descent method for the optimal control of the inviscid Burgers equation in the presence of shocksAuthors: F Palacios, Enrique Zuazua, C Castro |
2006 | HOP | 21 October 2016 |
Wave-number-explicit bounds in time-harmonic scatteringAuthors: Peter Monk, Simon Chandler-Wilde |
2006 | HOP | 21 October 2016 |
Achieving Brouwer's law with implicit Runge-Kutta methodsAuthors: Robert McLachlan, A Razakarivony, Ernst Hairer |
2006 | HOP | 21 October 2016 |
A multiscale method for highly oscillatory ordinary differential equations with resonanceAuthors: Bjorn Engquist, Yen-Hsi Tsai, Gil Ariel |
2006 | HOP | 21 October 2016 |
Finite element heterogeneous multiscale methods with near optimal computational complexityAuthors: Assyr Abdulle, Bjorn Engquist |
2006 | HOP | 21 October 2016 |
Effectiveness of implicit methods for stiff stochastic differential equationsAuthors: Assyr Abdulle, W E, Wencheng Li |
2006 | HOP | 21 October 2016 |
Multi-symplectic integration of the Camassa-Holm equationAuthors: Brynjulf Owren, X Raynaud, D Cohen |
2006 | HOP | 21 October 2016 |
Comparison of integrators for the Fermi-Pasta-Ulam problemAuthors: Dion O'Neale, Robert McLachlan |
2006 | HOP | 21 October 2016 |
A convergent adaptive method for elliptic eigenvalue problemsAuthors: Ivan Graham, S Giani |
2006 | HOP | 21 October 2016 |
Homogenization of spectral problems in bounded domains with doubly high contrastsAuthors: Vladimir Kamotski, VP Smyshlyaev, Natalia Babych |
2006 | HOP | 21 October 2016 |
Sufficiency of Favard's condition for a class of band-dominated operators on the axisAuthors: M Lindner, Simon Chandler-Wilde |
2006 | HOP | 21 October 2016 |
From stationary phase to steepest descentAuthors: Spyridon Kamvissis |
2006 | HOP | 21 October 2016 |
Condition number estimates for combined potential boundary integral operators in acoustic scatteringAuthors: Ivan Graham, Stephen Langdon, M Lindner, Simon Chandler-Wilde |
2006 | HOP | 21 October 2016 |
The focusing NLS equation on the half-line with periodic boundary conditionsAuthors: AS Fokas, Spyridon Kamvissis |
2006 | HOP | 21 October 2016 |
Plane wave discontinuous Galerkin methodsAuthors: R Hiptmair, Ilaria Perugia, CJ Gittelson |
2006 | HOP | 21 October 2016 |
The PML for rough surface scatteringAuthors: Peter Monk, Simon Chandler-Wilde |
2006 | HOP | 21 October 2016 |
High frequency scattering by convex curvilinear polygonsAuthors: M Mokgolele, Simon Chandler-Wilde, Stephen Langdon |
2006 | HOP | 21 October 2016 |
Boundary integral methods in high frequency scatteringAuthors: Ivan Graham, Simon Chandler-Wilde |
2006 | HOP | 21 October 2016 |
Limit operators, collective compactness, and the spectral theory of infinite matricesAuthors: Simon Chandler-Wilde, M Lindner |
2006 | HOP | 21 October 2016 |
A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methodsAuthors: AS Fokas, V Michel |
2006 | HOP | 21 October 2016 |
Spurious solutions in the multiband effective mass theory applied to low dimensional nanostructuresAuthors: Roderick Melnik, M Willatzen, B Lassen |
2006 | HOP | 21 October 2016 |
26 March 2007 to 30 March 2007
24 April 2007 to 27 April 2007
11 June 2007 to 12 June 2007
19 June 2007 to 19 June 2007
2 July 2007 to 6 July 2007
23 July 2007 to 27 July 2007
13 September 2010 to 17 September 2010
Wednesday 17th January 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Simon Chandler-Wilde University of Reading |
Room 1 |
Tuesday 23rd January 2007 | |||
---|---|---|---|
10:00 to 11:00 | Discussion Room |
Wednesday 24th January 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Olavi Nevanlinna |
Room 1 |
Tuesday 30th January 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Olavi Nevanlinna |
Room 1 | |
16:00 to 17:00 |
Krishnaswamy Sankaran ETH Zürich |
Room 1 |
Wednesday 31st January 2007 | |||
---|---|---|---|
14:30 to 15:30 | Room 1 |
Thursday 1st February 2007 | |||
---|---|---|---|
16:00 to 17:00 |
Spyridon Kamvissis Technical University of Crete |
Room 1 |
Tuesday 6th February 2007 | |||
---|---|---|---|
10:00 to 11:00 | Discussion Room |
Wednesday 7th February 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Macro-to-micro methods for highly oscillatory partial differential equations |
Room 1 |
Tuesday 13th February 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Syvert Norsett |
Room 1 | |
16:00 to 17:00 |
Arieh Iserles University of Cambridge |
Room 1 |
Wednesday 14th February 2007 | |||
---|---|---|---|
11:30 to 12:30 |
David Levin |
Room 1 | |
14:30 to 15:30 |
Olof Runborg |
Room 1 |
Thursday 15th February 2007 | |||
---|---|---|---|
11:30 to 12:30 |
Peter Olver University of Minnesota |
Room 1 | |
14:30 to 15:30 |
Stefan Vandewalle KU Leuven |
Room 1 |
Wednesday 21st February 2007 | |||
---|---|---|---|
10:00 to 11:00 | Discussion Room | ||
11:30 to 12:30 |
Sergey Tikhonov Scuola Normale Superiore di Pisa |
Room 1 | |
14:30 to 15:30 | Room 1 |
Monday 26th February 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Olof Runborg |
Room 1 |
Tuesday 27th February 2007 | |||
---|---|---|---|
16:00 to 17:00 |
Scott Fulton |
Room 1 |
Wednesday 28th February 2007 | |||
---|---|---|---|
11:30 to 12:30 |
Mechthild Thalhammer |
Room 1 | |
14:30 to 15:30 |
Peter Monk University of Delaware |
Room 1 |
Thursday 1st March 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Anna Gilbert University of Michigan |
Room 1 |
Friday 2nd March 2007 | |||
---|---|---|---|
14:30 to 15:30 | Room 1 |
Tuesday 6th March 2007 | |||
---|---|---|---|
10:00 to 11:00 |
Ivan Graham University of Bath |
Room 1 |
Wednesday 7th March 2007 | |||
---|---|---|---|
11:30 to 12:30 | Room 1 | ||
14:30 to 15:30 |
Brad Baxter |
Room 1 |
Monday 12th March 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Fatih Ecevit |
Room 1 |
Tuesday 13th March 2007 | |||
---|---|---|---|
11:30 to 12:30 |
Nonlinear diffusions as limits of BGK-type kinetic equations |
Room 1 |
Wednesday 14th March 2007 | |||
---|---|---|---|
11:30 to 12:30 |
Roderick Melnik |
Room 1 | |
14:30 to 15:30 |
Bjorn Engquist |
Room 1 |
Thursday 15th March 2007 | |||
---|---|---|---|
16:00 to 17:00 | Room 1 |
Tuesday 20th March 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Ernst Hairer Observatoire Astronomique de l'Universite de Geneve |
Room 2 | |
16:00 to 17:00 |
Molecular dynamics, thermostats and the accuracy of averages |
Room 2 |
Wednesday 21st March 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Christian Lubich Eberhard Karls Universität Tübingen |
Room 1 | |
16:00 to 17:00 |
Sebastian Reich Universität Potsdam |
Room 1 | |
Thursday 22nd March 2007 | |||
---|---|---|---|
16:00 to 17:00 |
Analysis of splitting methods for reaction-diffusion equations in the light of stochastic calculus |
Room 1 | |
Tuesday 10th April 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Normal form and long time analysis of splitting schemes for the linear Schroedinger equation |
Room 2 |
Wednesday 11th April 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Symplectic integrators for highly oscillatory Hamiltonian systems |
Room 2 |
Thursday 12th April 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Simon Malham Heriot-Watt University |
Room 2 |
Tuesday 17th April 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Robert McLachlan |
Room 1 |
Wednesday 18th April 2007 | |||
---|---|---|---|
16:00 to 17:00 |
Enrique Zuazua |
Room 1 |
Wednesday 25th April 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Snorre Christiansen University of Oslo |
Room 1 |
Thursday 26th April 2007 | |||
---|---|---|---|
11:30 to 12:30 |
Veerle Ledoux |
Room 1 |
Tuesday 1st May 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Roderick Melnik |
Room 1 |
Wednesday 2nd May 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Improving Poincar\'e: exponential asymptotics for ODEs and integrals with saddles |
Room 1 |
Thursday 3rd May 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Christopher Howls University of Southampton |
Room 1 |
Tuesday 8th May 2007 | |||
---|---|---|---|
11:30 to 12:30 | Room 1 | ||
14:30 to 15:30 |
Liviu Ignat Universidad Autonoma de Madrid |
Room 1 |
Wednesday 9th May 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Vera Thummler Universität Bielefeld |
Room 1 |
Wednesday 16th May 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Melvin Leok Indiana University-Purdue University Indianapolis |
Room 1 |
Thursday 17th May 2007 | |||
---|---|---|---|
16:00 to 17:00 |
Alexander Its |
Room 1 |
Friday 18th May 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Jacques Vanneste University of Edinburgh |
Room 1 |
Tuesday 22nd May 2007 | |||
---|---|---|---|
16:30 to 17:30 |
Brynjulf Owren |
Room 1 |
Wednesday 23rd May 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Ian Sloan University of New South Wales |
Room 1 |
Thursday 24th May 2007 | |||
---|---|---|---|
11:30 to 12:30 |
Alexander Ostermann |
Room 1 | |
14:30 to 15:30 |
Claudia Wulff University of Surrey |
Room 1 |
Tuesday 29th May 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Michael Ascher |
Room 1 |
Wednesday 30th May 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Folkmar Bornemann |
Room 1 |
Thursday 31st May 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Elena Celledoni |
Room 1 |
Thursday 7th June 2007 | |||
---|---|---|---|
16:00 to 17:00 |
Folkmar Bornemann |
Room 1 |
Monday 11th June 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Peter Olver University of Minnesota |
Room 1 |
Wednesday 13th June 2007 | |||
---|---|---|---|
11:30 to 12:30 |
On the approximation of spectra and pseudospectra of non-self-adjoint Hilbert space operators |
Room 1 | |
14:30 to 15:30 |
Percy Deift Courant Institute of Mathematical Sciences |
Room 1 |
Thursday 14th June 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Mahadevan Ganesh Colorado School of Mines |
Room 1 |
Wednesday 20th June 2007 | |||
---|---|---|---|
14:30 to 15:00 |
Dion O'Neale Massey University |
Room 1 | |
15:00 to 15:30 | Room 1 | ||
15:30 to 16:00 |
Chuang Zheng Universidad Autonoma de Madrid |
Room 1 |
Thursday 21st June 2007 | |||
---|---|---|---|
16:00 to 17:00 |
Thomas Schmelzer University of Oxford |
Room 1 |
Friday 22nd June 2007 | |||
---|---|---|---|
15:30 to 16:30 |
Bjorn Engquist |
Room 1 |
Wednesday 27th June 2007 | |||
---|---|---|---|
14:30 to 15:00 | Room 1 | ||
15:00 to 15:30 |
Aurora-Mihaela Marica Universidad Autonoma de Madrid |
Room 1 | |
15:30 to 16:00 | Room 1 |
Thursday 28th June 2007 | |||
---|---|---|---|
14:30 to 15:30 |
Sparse finite element method for nonlinear monotone problems with multiple scales |
Room 1 |
Monday 2nd July 2007 | |||
---|---|---|---|
09:00 to 17:00 | Discussion Room |
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