Numerical solution of a parabolic equation on the sphere using Laplace transforms and RBFs
نویسندگان
چکیده
We propose a method to construct numerical solutions of parabolic equations on the unit sphere. The time discretisation uses Laplace transforms and quadrature. The spatial approximation employs radial basis functions (RBFs) restricted to the sphere. The method allows us to construct high accuracy numerical solutions in parallel.
منابع مشابه
Solving parabolic equations on the unit sphere via Laplace transforms and radial basis functions
We propose a method to construct numerical solutions of parabolic equations on the unit sphere. The time discretization uses Laplace transforms and quadrature. The spatial approximation of the solution employs radial basis functions restricted to the sphere. The method allows us to construct high accuracy numerical solutions in parallel. We establish L2 error estimates for smooth and nonsmooth ...
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تاریخ انتشار 2011