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

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

Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre,

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

Mathematics of Computing -- Numerical Analysis.