Spectral Methods: Fundamentals in Single Domains (Scientific Computation) - Tapa blanda

From the reviews:

"The main aim of the book is to discuss the approximations of solutions to ordinary and partial differential equations in single domains by expansions in smooth, global basis functions. ... furnishes a comprehensive discussion of the mathematical theory of spectral methods in single domains ... . All chapters are enhanced with material on Galerkin method ... . The discussion of direct and iterative solution methods is endowed with numerical examples that illustrate the key properties of various spectral approximations and solution algorithms." (Nina Shokina, Zentralblatt MATH, Vol. 1093 (19), 2006)

Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many improvements in the algorithms and the theory of spectral methods that have been made since then. This latest book retains the tight integration between the theoretical and practical aspects of spectral methods, and the chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is also greatly expanded.