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Название: Numerical Analysis of Spectral Methods : Theory and Applications (CBMS-NSF Regional Conference Series in Applied Mathematics)
Авторы: Gottlieb D., Orszag S.
I have used this book extensively as a reference for my own research. It is an excellent presentation from two leaders in the field. My only criticism is that the examples presented in the book tend to be trivial (namely, one-dimensional), so much additional work is required to actually implement the spectral methods described in the text.