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

A multiscale method for stiff ordinary differential equations with resonance 27/07/2007
A new transform method and some of its numerical implementations 20/09/2010
A Numerical Algorithm for Advancing Slow Features in Fast-Slow Systems without Scale Separation - A Young Measure Approach 17/09/2010
An Effective Finite Difference Approach for Optical Beam Propagations 21/09/2010
Analysis of splitting methods for reaction-diffusion equations in the light of stochastic calculus 11/03/2008
Approximate energy conservation for symplectic time semidiscretizations of semilinear wave equations 25/02/2008
Approximation by plane waves 20/09/2010
Asymptotics for the Camassa-Holm equation 21/02/2008
Beyond the adiabatic approximation: exponentially small coupling terms 25/02/2008
Bloch Decomposition-Based Gaussian Beam Method for the Schrodinger equation with Periodic Potentials 20/09/2010
Coercivity of boundary integral operators in high frequency scattering 21/09/2010
Coercivity, Nonnormality and Numerical Range of boundary integral operators in high-frequency scattering 20/09/2010
Computing expectation values for molecular quantum dynamics 20/09/2010
Conservation of energy and actions in numerical discretizations of nonlinear wave equations 24/07/2007
Convergent high-frequency algorithms for single and multiple scattering 20/09/2010
Developing Integrators for Highly Oscillatory Hamiltonian Systems Using Homogenization 20/09/2010
Dispersive and dissipative behaviour of Galerkin approximation using high order polynomials 18/02/2008
Efficient finite difference schemes for highly oscillatory linear ODE 20/09/2010
Existence of approximate solitary waves in simplectic algorithms of integration 21/09/2010
Exponential asymptotics for the primitive equations 25/02/2008
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