Spectral Methods and Their Applications - Hardcover

Guo, Ben-yu

Hardcover

ISBN 10: 9810233337 ISBN 13: 9789810233334

Publisher: World Scientific Publishing Co Pte Ltd, 1998

Synopsis

This book presents the basic algorithms, the main theoretical results, and some applications of spectral methods. Particular attention is paid to the applications of spectral methods to nonlinear problems arising in fluid dynamics, quantum mechanics, weather prediction, heat conduction and other fields.

The book consists of three parts. The first part deals with orthogonal approximations in Sobolev spaces and the stability and convergence of approximations for nonlinear problems, as the mathematical foundation of spectral methods. In the second part, various spectral methods are described, with some applications. It includes Fourier spectral method, Legendre spectral method, Chebyshev spectral method, spectral penalty method, spectral vanishing viscosity method, spectral approximation of isolated solutions, multi-dimensional spectral method, spectral method for high-order equations, spectral-domain decomposition method and spectral multigrid method. The third part is devoted to some recent developments of spectral methods, such as mixed spectral methods, combined spectral methods and spectral methods on the surface.

About this title

Synopsis

This work presents the basic algorithms, the main theoretical results, and some applications of spectral methods. Particular attention is paid to the applications of spectral methods to nonlinear problems arising in fluid dynamics, quantum mechanics, weather prediction and other fields.

Edition details

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 1998
• Language: English
• ISBN 10: 9810233337
• ISBN 13: 9789810233334
• Binding: Hardcover
• Number of pages: 360