Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving method
Chebyshev and Fourier spectral methods
β Scribed by John P. Boyd
- Publisher
- Dover Publications
- Year
- 2001
- Tongue
- English
- Leaves
- 689
- Series
- Cambridge Companions to Philosophy
- Edition
- 2 Revised
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
π SIMILAR VOLUMES
Spectral methods, as presented by Boyd, are techniques for numerically solving differential equations. His book is a collection of A LOT of practical information presented mostly through a mathematical frame work. Practical means different things to different people; in Boyd's case, he discusses t
<p><p>Transport phenomena problems that occur in engineering and physics are often multi-dimensional and multi-phase in character. When taking recourse to numerical methods the spectral method is particularly useful and efficient. <br><br>The book is meant principally to train students and non-speci