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.
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This research is supported by the National Natural Science Foundation of China (1990–1992) and the Natural Science Foundation of Shanghai (1991–1993).
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Cao, W., Guo, B. A pseudospectral method for vorticity equations on spherical surface. Acta Mathematicae Applicatae Sinica 13, 176–187 (1997). https://doi.org/10.1007/BF02015139
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DOI: https://doi.org/10.1007/BF02015139