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.
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