The Mathematical Institute, University of Oxford, Eprints Archive

A high-order approximation method for semilinear parabolic equations on spheres

Wendland, Holger (2010) A high-order approximation method for semilinear parabolic equations on spheres. Technical Report. UNSPECIFIED. (Unpublished)

[img]
Preview
PDF
204Kb

Abstract

We describe a novel discretisation method for numerically solving (systems of) semilinear parabolic equations on Euclidean spheres. The new approximation method is based upon a discretisation in space using spherical basis functions and can be of arbitrary order. This, together with the fact that the solutions of semilinear parabolic problems are known to be infinitely smooth, at least locally in time, allows us to prove stability and convergence of the discretisation in a straight-forward way.

Item Type:Technical Report (Technical Report)
Subjects:O - Z > Partial differential equations
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:981
Deposited By:Lotti Ekert
Deposited On:22 Oct 2010 07:56
Last Modified:22 Oct 2010 07:56

Repository Staff Only: item control page