This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental al

Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on comput

Mathematics of Computing -- Numerical Analysis.

This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectra

A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathe