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From the reviews:
“This book focuses on the implementation aspects of spectral methods. … serve as a textbook for graduate students and applied mathematics researchers who seek a practical way to implement spectral algorithms. The presentation is pedagogical, moving from algorithms that are easy to understand to ones that are more complex and involved. … It is a very recommendable book for a graduate course on spectral methods, and covers more practical subjects that are not usually treated in detail in other monographs on spectral methods.” (Javier de Frutos, Mathematical Reviews, Issue 2010 j)Implementing Spectral Methods for Partial Differential Equations
Algorithms for Scientists and Engineers
von David A. KoprivaFirst book to cover multidomain spectral methods for the numerical solution of time-dependent 1D and 2D partial differential equations Presented without too much abstract mathematics and minutae Contains a set of basic examples as building blocks for solving complex PDEs in realistic geometries With exercises and questions at the end of each chapter Both an introduction for graduate students and a reference for computational scientists working on numerical solutions of PDEs Includes supplementary material: sn. pub/extras