ESF Research Conferences

ESF Mathematics Conference in partnership with EMS and ERCOM/INI

Highly Oscillatory Problems: From Theory to Applications

12-17 September 2010

This conference is organised by the European Science Foundation (ESF) in partnership with the European Mathematical Society (EMS), the European Research Centres on Mathematics (ERCOM) and the Isaac Newton Institute (INI)

Programme

Monday 13 September

08:45 - 09:00

Welcome from the Chair, Arieh Iserles, Cambridge University, UK, the Co-Chair Claude Le Bris, Ecole Nationale des Ponts et Chaussées, FR, Sir David Wallace, INI Director,
and the ESF Rapporteur, Chus Sanz-Serna

09:00 - 10:00

Ilaria Perugia, University of Pavia, IT
Non polynomial approximations of wave problems

10-00 - 11:00

Edriss Titi, Weizmann Institute of Science, IL
A Numerical Algorithm for Advancing Slow Features in Fast-Slow Systems without Scale Separation - A Young Measure Approach

11:00 - 11:30

Coffee break

11:30 - 12:30

Daan Huybrechs, K.U. Leuven, BE
Fourier series on triangles and tetrahedra

12:30 - 14:00

Lunch and break

14:00 - 14:30

Ludwig Gauckler, Universitaet Tuebingen, DE
Modulated Fourier expansions for the long-time analysis of Hamiltonian PDEs

14:30 - 15:00

Reinout  Quispel, La Trobe University, AU
Integral-Preserving Integrators

15:00 - 15:30

Herrmann Brunner, Memorial University of Newfoundland, CA
On the numerical solution of first-kind Volterra integral equations with highly oscillatory kernels

15:30 - 16:00

Coffee break

16:00 - 17:00

Irene Fonseca, Carnegie Mellon University, US
Multiple Integrals Under Differential Constraints: Two-Scale Convergence and Homogenization

17:00 - 18:00

Peter Markowich, University of Cambridge, UK
Lecture to be announced

18:00 - 18:30

Ekatarina Karatsuba, Russian Academy of Sciences, RU
On approximation of special oscillating series of quantum theory

18:30 - 19:00

Welcome drink

19:15 - 19:45

Dinner at Fitzwilliam College

Tuesday 14 September

09:00 - 10:00

Assyr Addulle, EPFL, CH
Lecture to be announced

10:00 - 11:00

Yalchin Efendiev, Texas A&M University, US
Coarse-scale spaces for multiscale high-contrast problems and their applications

11:00 - 11:30

Coffee break

11:30 - 12:30

Caroline Lasser, Technische Universität München, DE
Computing expectation values and fluxes for quantum molecular dynamics

12:30 - 14:00

Lunch

14:00 - 14:30

Frederic Legoll, Ecole Nationale des Ponts et Chaussees, FR
Title: Variance reduction in stochastic homogenization using antithetic variables (co-authors: Xavier Blanc, CEA, FR; Ronan Costaouec, Ecole Nationale des Ponts et Chaussees, FR; Claude Le Bris, Ecole Nationale des Ponts et Chaussees, FR)

14:30 - 15:00

Gil Ariel, Bar-Ilan University, IL
Oscillatory systems with three separated timescales (co-authors Bjorn Engquist and Richard Tsai)

15:00 - 15:30

Matthew Dobson, Ecole des Ponts ParisTech, FR
Developing Integrators for Highly Oscillatory Hamiltonian
Systems Using Homogenization

15:30 - 16:00

Coffee break

16:00 - 16:30

Poster Session

16:30 - 17:00

Christiaan Stolk, University of Amsterdam, NL
Preconditioning the Helmholtz equation using rapidly oscillating functions

17:00 - 17:30

Timo Betcke, University of Reading, UK
Coercivity, Nonnormality and Numerical Range of boundary integral operators in high-frequency scattering

17:30 - 18:00

Ralf Hiptmair, ETH Zurich, CH
Tensor product method for radiative transfer

18:00 - 18:30

Lehei Banjai, Max-Planck Institute for Mathematics in the Sciences, DE
Runga-Kutta convolution quadrature: convergence theory and  applications to time-domain BIE of acoustic scattering

19:15 -19:45

Dinner at Fitzwilliam College

Wednesday 15 September

09:00 - 10:00

Christian Lubich, Universitaet Tuebingen, DE
Modulated Fourier expansions and the Fermi-Pasta-Ulam problem

10:00 - 11:00

Tony Lelievre, Ecole Nationale des Ponts et Chaussées, FR
Metastability, rare events and sampling problems in molecular dynamics

11:00 - 11:30

Coffee break and Group Picture

11:30 - 12:00

Andrea Moiola, ETH Zurich, CH
Approximation by plane waves

12:00 - 12:30

Malte Peter, University of Augsburg, DE
The generalised eigenfunction method and time-dependent linear water-wave impact on a vertical elastic plate

12:30 - 14:00

Lunch break

14:00 - 14:30

Sheehan Olver, Oxford University, UK
Numerical solution of Riemann–Hilbert problems: Painlevé II

14:30 - 15:00

Jens Geier, TU Wien, AT
Efficient finite difference schemes for highly oscillatory linear ODE

15:00 - 15:30

Marianna Khanamirian, Cambridge University, UK
From oscillatory ODEs to oscillatory PDEs

15:30 - 16:00

Coffee break

16:00 - 17:00

Chus Sanz-Serna, Universidad de Valladolid, ES
Optimal Tuning of Hybrid Monte Carlo
This is joint work with A. Beskos, N.S. Pillai, G.O. Roberts and A.M. Stuart.

17:00 - 18:00

Andrew Stuart, University of Warwick, UK
LThe Hybrid Monte Carlo Algorithm in High Dimensions

18:00 - 18:30

Olof Runborg, KTH, SE
Error Estimates for Gaussian Beam Superposition

19:30

Conference dinner

Thursday 16 September

09:00 - 10:00

Houman Owhadi, California Institute of Technology, US
Homogenization with non-separated scales and high contrast

10:00 - 11:00

Thanasis Fokas, University of Cambridge, UK
Lecture to be announced

11:00 - 11:30

Coffee break

11:30 - 12:00

Carola-Bibiane Schoenlieb, University of Cambridge, UK
Higher-order total variation for oscillating patterns

12:00 - 12:30

Olena Mul, Ternopil Ivan Pul'uj National Technical University, UA
Oscillation Analysis of Some Hybrid Dynamical Systems of Transmission Pipelines

12:30 - 14:00

Lunch break

14:00 - 14:30

Fatih Ecevit, Bogazici University, TR
Convergent high-frequency algorithms for single and multiple scattering

14:30 - 15:00

Wu Hao, University Paul Sabatier, FR
Bloch Decomposition-Based Gaussian Beam Method for the Schrodinger equation with Periodic Potentials

15:00 - 15:30

Liviu Ignat, Institute of Mathematics "Simon Stoilow" of the Romanian Academy, RO
Strichartz estimates for the Schroedinger equation on a tree and applications

15:30 - 16:00

Coffee break

16:00 - 16:30

Yen-Hsi Richard Tsai, University of Texas at Austin
Upscaling of network models for porous media

16:30 - 17:00

Ricardo Perreira Silva, University of the State of São Paulo, BR
Thin domains with highly oscillating boundaries

17:00 - 17:30

Leopold Hermann, Czech Technical University, CZ
Oscillatory diffusion equation

17:30 - 18:00

Qin Sheng, Baylor University, US
An Effective Finite Difference Approach for Optical Beam Propagations

18:00 - 18:30

Pablo Alvarez-Caudevilla, Scuola Normale Superiore, IT
Global and Blow-up patterns of the Cauchy problem of a fourth-order thin film equation.

18:45 - 19:15

Dinner at Fitzwilliam College

Friday 17 September

09:00 - 10:00

Isabelle Terrasse, Aerospatiale Paris, FR
Applications of High Frequency Methods in Aeronautics: status and needs

10:10 - 10:40

Joaquim M. C. Correia, Universidade de Évora, PT
Nonlinear hyperbolic conservation laws: diffusive-dispersive limits

10:40 - 11:10

Euan Spence, University of Bath, UK
Coercivity of boundary integral operators in high frequency scattering

11:10 - 11:30

Coffee break

11:30 - 12:30

Dario Bambussi, University of Milan, IT
Existence of approximate solitary waves in simplectic algorithms of integration (co-authors: Erwan Faou and Benoit Grebert)

12:30 - 14:00

Lunch and departure

Poster List

Chiselev    Ana-Maria

Pressure field of acoustic sensors of order q

Cohen David   

Stochastic Trigonometric Integrators

Darrigrand    Eric   

Generalized combined field integral equations and fast multipole method for the solution of the Helmholtz equation in 3D

Erdem Özge   

Energy preserving integrators for Hamiltonian ode’s with Poisson structure

Geier Jens   

Efficient finite difference schemes for highly oscillatory linear ODE

Habibi    Zakaria   

Homogenization of a Conductive, Convective and Radiative Heat Transfer Problem

Ishkhanyan    Hayk  

A physically realizable term-crossing model for cold atom association

Jha Shambhu Nath   

On the Evaluation of Oscillatory Fields in Finite and Infinite Arrays in the Context of Radiation and Scattering Problems

Kim Tatiana   

Hybrid numerical-asymptotic method for solving high-frequency acoustic scattering problems in two dimensions

Li Wencheng   

Title not available

Lisitsa  Vadim   

Stable and low-reflection local time-space mesh refinement for 3D finite-difference simulation of wave propagation

Lytvyn Oleg   

The Theory of Interlineation and Interflatation of Functions of Many Variables and Its Applications including Highly Oscillatory Problems

Marchis    Iuliana   

Homogenization and reduction of dimension for parametric variational inequalities on nocthed beams

Nechuiviter    Olesia

The optimal by the order of exactness method with using spline-interlineation on the lines of rectangulation and two dimensions highly oscillatory integrals

Persson Jens   

Evolution-multiscale convergence and homogenisation of certain monotone parabolic problems

Protasov   
Maxim Igorevich 

Asymptotic inversion of multi-component surface seismic data

Tran Minh Binh   

Parallel Schwarz Waveform Relaxation Algorithm for an N-Dimensional Semilinear Heat Equation