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/

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Welcome by ESF Rapporteur

Sanz-Serna, C Monday 13 September 2010, 08:50-09:00

09-21
07:23

Existence of approximate solitary waves in simplectic algorithms of integration

Bambussi, D (University of Milan, IT) Friday 17 September 2010, 11:30-12:30

09-21
01:06:52

Coercivity of boundary integral operators in high frequency scattering

Spence, E (University of Bath, UK) Friday 17 September 2010, 10:40-11:10

09-21
30:53

Nonlinear hyperbolic conservation laws: diffusive-dispersive limits

Correia, JMC (Universidade de Évora, PT) Friday 17 September 2010, 10:10-10:40

09-21
23:04

Global and Blow-up patterns of the Cauchy problem of a fourth-order thin film equation

Alvarez-Caudevilla, P (Scuola Normale Superiore, IT) Thursday 16 September 2010, 18:00-18:30

09-21
22:27

An Effective Finite Difference Approach for Optical Beam Propagations

Sheng, Q (Baylor University, US) Thursday 16 September 2010, 17:30-18:00

09-21
27:50

Oscillatory diffusion equation

Hermann, L (Czech Technical University, CZ) Thursday 16 September 2010, 17:00-17:30

09-21
29:54

Thin domains with highly oscillating boundaries

Silva, RP (University of the State of São Paulo, BR) Thursday 16 September 2010, 16:30-17:00

09-21
22:35

Upscaling of network models for porous media

Tsai, Y-H (University of Texas at Austin) Thursday 16 September 2010, 16:00-16:30

09-21
31:39

Strichartz estimates for the Schroedinger equation on a tree and applications

Ignat, L (IMAR, RO) Thursday 16 September 2010, 15:00-15:30

09-21
24:15

Bloch Decomposition-Based Gaussian Beam Method for the Schrodinger equation with Periodic Potentials

Hao, W (University Paul Sabatier, FR) Thursday 16 September 2010, 14:30-15:00

09-20
29:20

Convergent high-frequency algorithms for single and multiple scattering

Ecevit, F (Bogazici University, TR) Tuesday 14 September 2010, 17:30-18:00

09-20
52:35

Oscillation Analysis of Some Hybrid Dynamical Systems of Transmission Pipelines

Mul, O (TNTU Ivan Pul'uj, UA) Thursday 16 September 2010, 12:00-12:30

09-20
24:39

A new transform method and some of its numerical implementations

Fokas, T (University of Cambridge, UK) Thursday 16 September 2010, 10:00-11:00

09-20
01:02:25

Homogenization with non-separated scales and high contrast

Owhadi, H (California Institute of Technology, US) Thursday 16 September 2010, 09:00-10:00

09-20
38:52

The Hybrid Monte Carlo Algorithm in High Dimensions

Stuart, A (University of Warwick, UK) Wednesday 15 September 2010, 17:00-18:00

09-20
57:20

Optimal Tuning of Hybrid Monte Carlo

Sanz-Serna, C (Universidad de Valladolid, ES) Wednesday 15 September 2010, 16:00-17:00

09-20
58:04

Highly Oscillatory Integrals and their Applications

Khanamiryan, M (Cambridge University, UK) Wednesday 15 September 2010, 15:00-15:30

09-20
34:05

Efficient finite difference schemes for highly oscillatory linear ODE

Geier, J (TU Wien, AT) Wednesday 15 September 2010, 14:30-15:00

09-20
25:52

Numerical solution of Riemann–Hilbert problems: Painlevé II

Olver, S (Oxford University, UK) Wednesday 15 September 2010, 14:00-14:30

09-20
33:31
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