A generalization of the Wiener rational basis functions on infinite intervals,Part II — Numerical investigation |
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| Authors: | Akil C Narayan Jan S Hesthaven |
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| Institution: | 1. Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907, United States;2. Division of Applied Mathematics, Box F; Brown University, 182 George Street, Providence, RI 02912, United States |
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| Abstract: | In Part I we introduced the generalized Wiener rational basis functions, and here in Part II we continue our investigation with numerical experiments. Wiener’s generalized basis can utilize the fast Fourier transform for integer values of the decay parameter s; we outline two algorithms for doing so. In addition, the issue of Galerkin representations for polynomial nonlinearities of expansions is addressed. |
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| Keywords: | Spectral methods Fast Fourier transform Infinite intervals |
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