Chebyshev and Fourier Spectral Methods (1999) [108 citations — 7 self]
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author = {John P. Boyd},
title = {Chebyshev and Fourier Spectral Methods},
year = {1999}
}
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Abstract:
Contents PREFACE x Acknowledgments xiv Errata and Extended-Bibliography xvi 1 Introduction 1 1.1 Series expansions .................................. 1 1.2 First Example .................................... 2 1.3 Comparison with finite element methods .................... 4 1.4 Comparisons with Finite Differences ....................... 6 1.5 Parallel Computers ................................. 9 1.6 Choice of basis functions .............................. 10 1.7 Boundary conditions ................................ 12 1.8 Non-Interpolating and Pseudospectral ...................... 13 1.9 Nonlinearity ..................................... 14 1.10 Time-dependent problems ............................. 16 1.11 FAQ: Frequently Asked Questions ........................ 17 1.12 The Chrysalis .................................... 18 2 Chebyshev & Fourier Spectral Methods 19 2.1 Introduction ..................................... 19 2.2 Fourier series
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