Highly Oscillatory Problems: Computation, Theory and Application

Por: Cambridge University
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 episodios disponibles

Latest episodes of the podcast Highly Oscillatory Problems: Computation, Theory and Application

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Oscillatory diffusion equation 21/09/2010
Oscillatory systems with three separated timescales 20/09/2010
Preconditioning the Helmholtz equation using rapidly oscillating functions 20/09/2010
Rigorous leading order asymptotic solutions of the semiclassical focusing NLS equation 26/07/2007
Runga-Kutta convolution quadrature: convergence theory and applications to time-domain BIE of acoustic scattering 20/09/2010
Small dispersion limit of the KdV and semiclassical limit of focusing NLS 22/02/2008
Some remarks concerning exponential integrators 20/02/2008
Spectral results for membrane with perturbed stiffness and mass density 19/02/2008
Strichartz estimates for the Schroedinger equation on a tree and applications 21/09/2010
Tensor product method for radiative transfer 20/09/2010
The generalised eigenfunction method and time-dependent linear water-wave impact on a vertical elastic plate 20/09/2010
The Hybrid Monte Carlo Algorithm in High Dimensions 20/09/2010
Thin domains with highly oscillating boundaries 21/09/2010
Three recent results on asymptotics of oscillations 06/03/2008
Tunnel effect for Kramers-Fokker-Planck type operators (joint work with F Herau and M Hitrik) 21/02/2008
Upscaling of network models for porous media 21/09/2010
Variance reduction in stochastic homogenization using antithetic variables 20/09/2010
Welcome by ESF Rapporteur 21/09/2010
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