国际著名数学图书 MATLAB中的谱方法 英文影印版 作者：（美）特弗森 著 出版时间： 2011年版 内容简介 The aim of this book is to teach you theessentials of spectral collocation methods with the aid of 40 shortMATLAB programs， or /M-files./* The programs are available onlineat http：//www， comlab， ox. ac .uk/oucl/work/nick.trefethen， and youwill run them and modify them to solve all kinds of ordinary andpartial differential equations （ODEs and PDEs） connected withproblems in fluid mechanics， quantum mechanics， vibrations， linearand nonlinear waves， complex analysis， and other fields. Concerningprerequisites，it is assumed that the words just written havemeaning for you， that you have some knowledge of numerical methods，and that you already know MATLAB. 目录 preface 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
