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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Metastability, rare events and sampling problems in molecular dynamics 20/09/2010
Modulated Fourier expansions and the Fermi-Pasta-Ulam problem 20/09/2010
Multi-scale spaces for multiscale high-contrast problems and their applications 20/09/2010
Multiple integrals under differential constraints: two-scale convergence and homogenization 17/09/2010
Nanomechanics of biomolecules: whether oscillatory details are important or not 22/02/2008
Non polynomial approximations of wave problems 17/09/2010
Nonlinear hyperbolic conservation laws: diffusive-dispersive limits 21/09/2010
Norms and condition numbers of oscillatory integral operators in acoustic scattering 22/02/2008
Numerical approximation of multivariate highly oscillatory integrals 22/02/2008
Numerical integration for numerical homogenizations methods 20/09/2010
Numerical oscillations over long times 20/02/2008
Numerical solution of Riemann–Hilbert problems: Painlevé II 20/09/2010
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation 19/02/2008
Numerically evaluating the Evans function by Magnus integration 26/07/2007
On approximation of special oscillating series of quantum theory 17/09/2010
On the numerical solution of first-kind Volterra integral equations with highly oscillatory kernels 17/09/2010
On the zero-mass constraint for KP type equations 25/02/2008
On Wigner and Bohmian Measures 17/09/2010
Optimal Tuning of Hybrid Monte Carlo 20/09/2010
Oscillation Analysis of Some Hybrid Dynamical Systems of Transmission Pipelines 20/09/2010
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