Approximation of parabolic PDEs on spheres using spherical basis functions
- Cite this article as:
- Le Gia, Q.T. Adv Comput Math (2005) 22: 377. doi:10.1007/s10444-003-3960-9
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In this paper we investigate the approximation of a class of parabolic partial differential equations on the unit spheres Sn⊂Rn+1 using spherical basis functions. Error estimates in the Sobolev norm are derived.