Effective computational methods for highly oscillatory solutions

Workshop theme

Highly oscillatory phenomena occur in a very wide range of phenomena in science and engineering. They are usually considered "difficult" problems and their understanding presents formidable challenges. However, a range of novel techniques, liberally borrowing from pure mathematics, computation and application areas, has recently revolutionised our understanding of high oscillation.

Computation is the main bridge between theory and applications of rapidly oscillating phenomena. The main purpose of the workshop is to introduce wide audience, inclusive of young researchers and workers in the industry to a wide range of contemporary computational tools, techniques and application areas: homogenization, multiresolution, symplectic and geometric methods, computational molecular dynamics, computational geophysical fluid dynamics, highly oscillatory quadrature and computational electromagnetics.

Applications for this workshop are now closed

Timetable

Monday 2nd July 2007
08:30 to 09:55	Registration	No Room Required
09:55 to 10:00	David Wallace - Welcome	Room 1
10:00 to 11:00	Oscar Bruno CALTECH (California Institute of Technology) Fast high-order high-frequency solvers in computational acoustics and electromagnetics	Room 1
11:00 to 11:30	Coffee and Poster session	No Room Required
11:30 to 12:00	Ivan Graham University of Bath Domain decomposition for multiscale elliptic PDEs	Room 1
12:30 to 13:30	Lunch at Wolfson Court (Residents only)	No Room Required
14:00 to 15:00	Enrique Zuazua An alternate direction descent method for the control of flows in the presence of shocks	Room 1
15:00 to 15:30	Tea and Poster session	No Room Required
15:30 to 16:00	Simon Chandler-Wilde University of Reading Condition number estimates for oscillatory integral operators	Room 1
16:00 to 16:30	Fatih Ecevit New Galerkin methods for high-frequency scattering simulations	Room 1
16:30 to 17:00	Plane wave discontinuous Galerkin methods	Room 1
17:00 to 18:00	Welcome Wine Reception and Poster session	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Tuesday 3rd July 2007
09:00 to 10:00	Claude le Bris Integrators for Highly oscillatory Hamiltonian systems: an homogenisation approach	Room 1
10:00 to 10:30	Roland Pulch Bergische Universität Wuppertal Generalised polynomial chaos for analysing the stability	Room 1
10:30 to 11:00	Coffee and Poster session	No Room Required
11:00 to 11:30	Adaptive parameterization in molecular dynamics	Room 1
11:30 to 12:00	Sergio Blanes Universidad Politécnica de Valencia Splitting methods for oscillatory non-autonomous linear systems	Room 1
12:30 to 13:30	Lunch at Wolfson Court (Residents only)	No Room Required
14:00 to 15:00	Robert Skeel Indiana University-Purdue University Indianapolis Treatment of oscillations in classical molecular dynamics	Room 1
15:00 to 15:30	Tea and Poster session	No Room Required
15:30 to 16:00	Fernando Casas Universitat Jaume I The Magnus expansion in the adiabatic picture	Room 1
16:00 to 16:30	Chris Sweet University of Notre Dame The separable shadow hybrid Monte Carlo (S2HMC) method for improved performence over hybrid Monte Carlo	Room 1
16:45 to 17:15	Hailiang Liu Iowa State University Level set methods for capturing semiclassical dynamics of Schr\"odinger equations with different potentials	Room 1
17:15 to 17:45	Adiabatic invariance and geometric phase in slowly deforming domains	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Wednesday 4th July 2007
09:00 to 10:00	MCMC methods for multiscale measure	Room 1
10:00 to 10:30	Yalchin Efendiev Texas A&M University Multiscale numerical methods using limited global information and applications	Room 1
10:30 to 11:00	Coffee and Poster session	No Room Required
11:00 to 11:30	Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition	Room 1
11:30 to 12:00	Sebastian Reich Universität Potsdam A Mach-uniform algorithm based on regularised fluid equations	Room 1
12:30 to 13:30	Lunch at Wolfson Court (Residents only)	No Room Required
14:00 to 15:00	S-ROCK: explicit methods for stiff stochastic problems	Room 1
15:00 to 15:30	Tea and Poster session	No Room Required
15:30 to 16:00	Sheila Ann Smitheman University of Cambridge The Dirichlet to Neumann map for the modified Helmholtz and Helmholtz equations with complex boundary data	Room 1
16:00 to 16:30	Weizhu Bao National University of Singapore Mathematical analysis and numerical simulation of Bose-Einstein condensation	Room 1
16:45 to 17:15	Ilan Degani Radial basis function collocation for Schr\"odinger's equation	Room 1
17:15 to 17:45	Antonella Zanna Exact and approximate methods for the free rigid body	Room 1
18:00 to 19:30	CUP Reception (1 Trinity Street, Cambridge)	No Room Required

Thursday 5th July 2007
09:00 to 10:00	Stefan Vandewalle KU Leuven Numerical integration of highly oscillatory functions based on analytic continuation	Room 1
10:00 to 10:30	Hermann Brunner Memorial University of Newfoundland Open problems in the computational solution of volterra functional equations with highly oscillatory solutions	Room 1
10:30 to 11:00	Coffee and Poster session	No Room Required
11:00 to 11:30	Peter Olver University of Minnesota Asymptotic least squares approximation for highly oscillatory differential equations	Room 1
11:30 to 12:00	Arieh Iserles University of Cambridge Modified fourier expansions and spectral problems for highly oscillatory Fredholm operators	Room 1
12:30 to 13:30	Lunch at Wolfson Court (Residents only)	No Room Required
14:00 to 15:00	Approximation of non-adiabatic quantum dynamics by surface hopping	Room 1
15:00 to 15:30	Tea and Poster session	No Room Required
15:30 to 16:00	Asymptotics for linear and nonlinear Schr\"odinger equations with periodic potentials	Room 1
16:00 to 16:30	Christian Lubich Eberhard Karls Universität Tübingen Computational quantum dynamics using Hagedorn wavepackets	Room 1
16:45 to 17:15	Bjorn Engquist On macroscale variables for multiple time scale problems	Room 1
17:15 to 17:45	Yen-Hsi Tsai Japan Atomic Energy Agency & University of Texas at Austin A multiscale method for computing highly oscillatory ODEs	Room 1
19:30 to 23:00	Conference Garden Party at Clare Hall	No Room Required

Friday 6th July 2007
09:00 to 10:00	Robert McLachlan Partitioned Runge-Kutta methods in space and time	Room 1
10:00 to 10:30	Ernst Hairer Observatoire Astronomique de l'Universite de Geneve High oscillations versus parasitic solutions	Room 1
10:30 to 11:00	Coffee and Poster session	No Room Required
11:00 to 11:30	Hans Munthe-Kaas Towards symplectic Lie group integrators	Room 1
11:30 to 12:00	Elena Celledoni Eulerian and semi-Lagrangian exponential integrators for convection dominated problems	Room 1
12:30 to 13:30	Lunch at Wolfson Court (Residents only)	No Room Required
14:00 to 14:30	Veerle Ledoux High order coefficient approximations methods for the Sturm-Liouville boundary value problem	Room 1
14:30 to 15:00	Numerical investigation of the conjugate locus for the Euler top	Room 1
15:00 to 15:30	Tea and Poster session	No Room Required
15:30 to 16:00	Melvin Leok Indiana University-Purdue University Indianapolis Lie group and homogeneous variational integrators and their applications to geometric optimal control theory	Room 1
16:00 to 16:30	Roderick Melnik Spurious solutions in applications of effective envelope theory: roots of the problem and methodologies for its remedy	Room 1
16:30 to 17:00	Larissa Fradkin London South Bank University Backscatter diffraction coefficients for surface-breaking cracks: Comparison of two semi-analytical approaches	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents only)	No Room Required

Effective computational methods for highly oscillatory solutions

Speakers

Weizhu Bao National University of Singapore
Sergio Blanes Universidad Politécnica de Valencia
Hermann Brunner Memorial University of Newfoundland
Oscar Bruno CALTECH (California Institute of Technology)
Fernando Casas Universitat Jaume I
Elena Celledoni
Simon Chandler-Wilde University of Reading
Ilan Degani
Fatih Ecevit
Yalchin Efendiev Texas A&M University
Bjorn Engquist
Larissa Fradkin London South Bank University
Ivan Graham University of Bath
Ernst Hairer Observatoire Astronomique de l'Universite de Geneve
Arieh Iserles University of Cambridge
Claude le Bris
Veerle Ledoux
Melvin Leok Indiana University-Purdue University Indianapolis
Hailiang Liu Iowa State University
Christian Lubich Eberhard Karls Universität Tübingen
Robert McLachlan
Roderick Melnik
Hans Munthe-Kaas
Peter Olver University of Minnesota
Roland Pulch Bergische Universität Wuppertal
Sebastian Reich Universität Potsdam
Robert Skeel Indiana University-Purdue University Indianapolis
Sheila Ann Smitheman University of Cambridge
Chris Sweet University of Notre Dame
Yen-Hsi Tsai Japan Atomic Energy Agency & University of Texas at Austin
Stefan Vandewalle KU Leuven
Antonella Zanna
Enrique Zuazua

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Effective computational methods for highly oscillatory solutions

Workshop theme

Applications for this workshop are now closed

Timetable

Speakers

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