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• W1978806864 abstract "Pseudospectral methods utilizing prolate spheroidal wave functions as basis functions have been shown to possess advantages over the conventional pseudospectral methods based on trigonometric and orthogonal polynomials. However, the spectral differentiation and interpolation steps of the prolate pseudospectral method involve matrix-vector products, which, if evaluated directly, entail O(N2) memory requirement and computational complexity (where N is the number of unknowns utilized for discretization and interpolation). In this work we show that the fast multipole method (FMM) can be used to reduce the memory requirement and computational complexity of the prolate pseudospectral method to O(N). Example simulation results demonstrate the speed and accuracy of the resulting fast prolate pseudospectral solver." @default.
• W1978806864 created "2016-06-24" @default.
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• W1978806864 date "2006-01-01" @default.
• W1978806864 modified "2023-09-26" @default.
• W1978806864 title "Rapid Prolate Pseudospectral Differentiation and Interpolation with the Fast Multipole Method" @default.
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• W1978806864 doi "https://doi.org/10.1137/050635961" @default.
• W1978806864 hasPublicationYear "2006" @default.
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