A Practical Guide to Pseudospectral Methods

During the past two decades, pseudospectral methods have emerged as successful, and often superior, alternatives to better known computational procedures, such as finite difference and finite element methods of numerical solution, in several key application areas. These areas include computational fluid dynamics, wave motion, and weather forecasting. This book explains how, when and why this pseudospectral approach works. In order to make the subject accessible to students as well as researchers and engineers, the author presents the subject using illustrations, examples, heuristic explanations, and algorithms rather than rigorous theoretical arguments. This book will be of interest to graduate students, scientists, and engineers interested in applying pseudospectral methods to real problems.


"...an excellent introduction for someone who wants to understand the general theory of pseudospectral methods or their relationship to finite differences....meteorologists will want to own it because of its deep insight, abundant tables and aids to the programmer, and discussion of some topics not available in other books." John P. Boyd, Bulletin of the American Meteorological Society

"...this is a complementary work to be set alongside the standard texts on spectral methods....it stands alone as the handbook on implementing PS methods....It serves as an essential addition to the small library of books and monographs on spectral and PS methods. In particular it provides a unique perspective on PS methods, which equips the reader with an additional framework for developing a greater understanding of the subject and the means to quickly get hands dirty with some numerical programming using PS methods." Lawrence Mulholland, Mathematical Reviews

"Practical Guide to Pseudospectral Methods should be of reference use to researchers working in the area of pseudospectral methods." M.M. Gupta, Applied Mechanics Review

'The book is born out of the author's vast experience in the field and we should be indebted to him for making his knowledge available to us in this user-friendly book … I thoroughly enjoyed reading this book and the opportunity to look at pseudospectral methods from a different perspective. I would recommend this book to those interested in pseudospectral methods and those whose research involves solving differential equations using high-order discretization methods.' Proceedings of the Edinburgh Mathematical Society