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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Exponential estimates in averaging and homogenisation 30/08/2007
Exponential integrators and functions of the matrix exponential 26/07/2007
Exponential integrators for oscillatory second-order differential equations 22/02/2008
Fast singular oscillating limits of the 3D Navier-Stokes and Euler equations: Global regularity and three-dimensional Euler dynamics 20/02/2008
Finite difference approximation of homogenization problems for elliptic equations 25/07/2007
Fluids, parcel dynamics and oscillations 11/03/2008
Fourier series on triangles and tetrahedra 17/09/2010
From high oscillation to rapid approximation 25/02/2008
Generalization of the Maslov Theory for Localized Asymptotics and Tsunami waves 18/02/2008
Global and Blow-up patterns of the Cauchy problem of a fourth-order thin film equation 21/09/2010
Hamiltonian slow manifolds with internal oscillation 19/02/2008
Heterogeneous multi-scale methods 19/02/2008
High dimensional finite element methods for elliptic problems with highly oscillating coefficients 26/07/2007
Highly oscillatory Hamiltonian systems with non-constant mass matrix 19/02/2008
Highly Oscillatory Integrals and their Applications 20/09/2010
Highly oscillatory PDEs, slow manifolds and regularized PDE formations 20/02/2008
Homogenization with non-separated scales and high contrast 20/09/2010
Integral-Preserving Integrators 17/09/2010
Localization and propagation in high contrast highly oscillatory media via 'non-classical' homogenization 30/08/2007
Long-time-step methods for highly oscillatory Hamiltonian problems 11/03/2008
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