Report
A high-order approximation method for semilinear parabolic equations on spheres
- 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.
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Authors
- Publisher:
- UNSPECIFIED
- Publication date:
- 2010-09-20
- UUID:
-
uuid:58039721-98ac-4925-99c0-0555b67742d3
- Local pid:
-
oai:eprints.maths.ox.ac.uk:981
- Deposit date:
-
2011-05-20
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- Copyright date:
- 2010
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