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Highly Oscillatory Problems: Computation, Theory and Application
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Highly Oscillatory Problems: Computation, Theory and Application

Author: Cambridge University

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Description

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/
78 Episodes
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Welcome by ESF Rapporteur

Welcome by ESF Rapporteur

2010-09-2107:23

Sanz-Serna, C Monday 13 September 2010, 08:50-09:00
Existence of approximate solitary waves in simplectic algorithms of integration

Existence of approximate solitary waves in simplectic algorithms of integration

2010-09-2101:06:52

Bambussi, D (University of Milan, IT) Friday 17 September 2010, 11:30-12:30
Coercivity of boundary integral operators in high frequency scattering

Coercivity of boundary integral operators in high frequency scattering

2010-09-2130:53

Spence, E (University of Bath, UK) Friday 17 September 2010, 10:40-11:10
Nonlinear hyperbolic conservation laws: diffusive-dispersive limits

Nonlinear hyperbolic conservation laws: diffusive-dispersive limits

2010-09-2123:04

Correia, JMC (Universidade de Évora, PT) Friday 17 September 2010, 10:10-10:40
Global and Blow-up patterns of the Cauchy problem of a fourth-order thin film equation

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

2010-09-2122:27

Alvarez-Caudevilla, P (Scuola Normale Superiore, IT) Thursday 16 September 2010, 18:00-18:30
An Effective Finite Difference Approach for Optical Beam Propagations

An Effective Finite Difference Approach for Optical Beam Propagations

2010-09-2127:50

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

Oscillatory diffusion equation

2010-09-2129:54

Hermann, L (Czech Technical University, CZ) Thursday 16 September 2010, 17:00-17:30
Thin domains with highly oscillating boundaries

Thin domains with highly oscillating boundaries

2010-09-2122:35

Silva, RP (University of the State of São Paulo, BR) Thursday 16 September 2010, 16:30-17:00
Upscaling of network models for porous media

Upscaling of network models for porous media

2010-09-2131:39

Tsai, Y-H (University of Texas at Austin) Thursday 16 September 2010, 16:00-16:30
Strichartz estimates for the Schroedinger equation on a tree and applications

Strichartz estimates for the Schroedinger equation on a tree and applications

2010-09-2124:15

Ignat, L (IMAR, RO) Thursday 16 September 2010, 15:00-15:30
Bloch Decomposition-Based Gaussian Beam Method for the Schrodinger equation with Periodic Potentials

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

2010-09-2029:20

Hao, W (University Paul Sabatier, FR) Thursday 16 September 2010, 14:30-15:00
Convergent high-frequency algorithms for single and multiple scattering

Convergent high-frequency algorithms for single and multiple scattering

2010-09-2052:35

Ecevit, F (Bogazici University, TR) Tuesday 14 September 2010, 17:30-18:00
Oscillation Analysis of Some Hybrid Dynamical Systems of Transmission Pipelines

Oscillation Analysis of Some Hybrid Dynamical Systems of Transmission Pipelines

2010-09-2024:39

Mul, O (TNTU Ivan Pul'uj, UA) Thursday 16 September 2010, 12:00-12:30
A new transform method and some of its numerical implementations

A new transform method and some of its numerical implementations

2010-09-2001:02:25

Fokas, T (University of Cambridge, UK) Thursday 16 September 2010, 10:00-11:00
Homogenization with non-separated scales and high contrast

Homogenization with non-separated scales and high contrast

2010-09-2038:52

Owhadi, H (California Institute of Technology, US) Thursday 16 September 2010, 09:00-10:00
The Hybrid Monte Carlo Algorithm in High Dimensions

The Hybrid Monte Carlo Algorithm in High Dimensions

2010-09-2057:20

Stuart, A (University of Warwick, UK) Wednesday 15 September 2010, 17:00-18:00
Optimal Tuning of Hybrid Monte Carlo

Optimal Tuning of Hybrid Monte Carlo

2010-09-2058:04

Sanz-Serna, C (Universidad de Valladolid, ES) Wednesday 15 September 2010, 16:00-17:00
Highly Oscillatory Integrals and their Applications

Highly Oscillatory Integrals and their Applications

2010-09-2034:05

Khanamiryan, M (Cambridge University, UK) Wednesday 15 September 2010, 15:00-15:30
Efficient finite difference schemes for highly oscillatory linear ODE

Efficient finite difference schemes for highly oscillatory linear ODE

2010-09-2025:52

Geier, J (TU Wien, AT) Wednesday 15 September 2010, 14:30-15:00
Numerical solution of Riemann–Hilbert problems: Painlevé II

Numerical solution of Riemann–Hilbert problems: Painlevé II

2010-09-2033:31

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