ISSN:
1618-3932
Keywords:
Spherical surface
;
pseudospectral method
;
vorticity equations
;
stability
;
convergence
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The pseudospectral method for solving vorticity equations on spherical surface is discussed. An interpolation procedure, which is different from the usual ones, is proposed. Based on such an interpolation, the pseudospectral scheme is constructed. Its generalized stability and convergence are analyzed rigorously. The theoretical analysis and computational skills can also be applied to other nonlinear partial differential equations defined on spherical surface.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02015139
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