具体描述
The aim of this book is to teach you the essentials of spectral collocation methods with the aid of 40 short MATLAB programs, or "M-files."* The programs are available online at http://www, comlab, ox. ac .uk/oucl/work/nick.trefethen, and you will run them and modify them to solve all kinds of ordinary and partial differential equations (ODEs and PDEs) connected with problems in fluid mechanics, quantum mechanics, vibrations, linear and nonlinear waves, complex analysis, and other fields. Concerning prerequisites,it is assumed that the words just written have meaning for you, that you have some knowledge of numerical methods, and that you already know MATLAB.
作者简介
目录信息
acknowledgments
a note on the matlab programs
1 differentiation matrices
2 unbounded grids: the semidiscrete fourier transform
3 periodic grids: the dft and fft
4 smoothness and spectral accuracy
5 polynomial interpolation and clustered grids
6 chebyshev differentiation matrices
7 boundary value problems
8 chebyshev series and the fft
9 eigenvalues and pseudospectra
10 time-stepping and stability regions
11 polar coordinates
12 integrals and quadrature formulas
13 more about boundary conditions
14 fourth-order problems
afterword
bibliography
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真的好，可惜没时间往下看了。
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