Spectral Methods

This book provides the most comprehensive, up-to-date theory and state-of-the-art algorithms of spectral methods. It is written by the authors who pioneered the subject and who introduced spectral methods as a mainstream tool for scientific and engineering computation.

The authors who pioneered Spectral Methods in Fluid Dynamics Calculations in 1988 have now incorporated the many improvements in the algorithms and the theory of spectral methods made since then into this new edition. This improved 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, as are the set of numerical examples that illustrate the key properties of the various types of spectral approximations and the solution algorithms. In short, this book provides the most comprehensive, up-to-date theory and state-of-the-art algorithms of spectral methods written by the authors who pioneered the subject.

The most comprehensive and up-to-date theory and state-of-the-art algorithms of spectral methods The authors pioneered Spectral Methods in Fluid Dynamics Calculations This was their theme in the 1988 edition of this book In the meantime the technique became an important tool in Scientific Computing and so the authors fulfilled the need for a monograph addressing students as well Includes supplementary material: sn.pub/extras

Autorentext
The authors are among the leading researchers in the field of computational fluid dynamics and have pioneered and promoted the "Spectral Methods in Fluid Dynamics".

Inhalt
Polynomial Approximation.- Basic Approaches to Constructing Spectral Methods.- Algebraic Systems and Solution Techniques.- Polynomial Approximation Theory.- Theory of Stability and Convergence.- Analysis of Model Boundary-Value Problems.- Erratum.