Spectral Methods in MATLAB (Software, Environments, Tools) - Softcover

Trefethen, Lloyd N.

Softcover

ISBN 10: 0898714656 ISBN 13: 9780898714654

Publisher: SIAM: Society for Industrial and Applied Mathematics, 2000

Synopsis

This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since spectral methods involve significant linear algebra and graphics they are very suitable for the high level programming of MATLAB. This hands-on introduction is built around forty short and powerful MATLAB programs, which the reader can download from the World Wide Web. This book presents the key ideas along with many figures, examples, and short, elegant MATLAB programs for readers to adapt to their own needs. It covers ODE and PDE boundary value problems, eigenvalues and pseudospectra, linear and nonlinear waves, and numerical quadrature.

About this title

Book Description

This is the only book on spectral methods built around MATLAB programs. This hands-on introduction is built around forty short and powerful MATLAB programs, easily adaptable to the reader's own needs, and which can also be downloaded from the internet. Key ideas are presented alongside many figures and examples.

From the Publisher

Users of this book include advanced undergraduate and graduate students studying numerical methods for PDEs, numerical analysts, engineers, and computationally oriented physical scientists in all areas. The reader must have reasonable exposure to linear algebra, PDEs at the practical (not theoretical) level, and MATLAB.

Edition details

• Publisher: SIAM: Society for Industrial and Applied Mathematics
• Publication date: 2000
• ISBN 10: 0898714656
• ISBN 13: 9780898714654
• Binding: Paperback
• Language: English
• Number of pages: 183