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A practical guide to pseudospectral methods
monograph
Author(s):
Bengt Fornberg
Publication date
(Online):
2009
Publisher:
Cambridge University Press
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NeuroImaging Methods
Author and book information
Book
ISBN:
9780511626357
Publication date (Print):
1996
Publication date (Online):
2009
DOI:
10.1017/CBO9780511626357
SO-VID:
03d600c5-fa37-47e9-9352-fcbd9078d47b
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Book chapters
pp. vii
Preface
pp. 1
Introduction
pp. 4
Introduction to spectral methods via orthogonal functions
pp. 14
Introduction to PS methods via finite differences
pp. 36
Key properties of PS approximations
pp. 83
PS variations and enhancements
pp. 101
PS methods in polar and spherical geometries
pp. 118
Comparisons of computational cost for FD and PS methods
pp. 127
Applications for spectral methods
pp. 155
Jacobi polynomials
pp. 161
Tau, Galerkin, and collocation (PS) implementations
pp. 167
Codes for algorithm to find FD weights
pp. 170
Lebesgue constants
pp. 173
Potential function estimate for polynomial interpolation error
pp. 175
FFT-based implementation of PS methods
pp. 197
Stability domains for some ODE solvers
pp. 210
Energy estimates
pp. 217
References
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