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Implementing Spectral Methods for Partial Differential Equations: Algorithms for Scientists and Engineers

David A. Kopriva
Publisher: 
Springer
Publication Date: 
2009
Number of Pages: 
394
Format: 
Hardcover
Series: 
Scientific Computation
Price: 
119.00
ISBN: 
9789048122608
Category: 
Monograph
We do not plan to review this book.

 

Part I: Approximating Functions, Derivatives and Integrals. 1. Spectral Approximation. 2. Algorithms For Periodic Functions. 3. Algorithms For Non-Periodic Functions. Part II: Approximating Solutions of PDEs. 4. Survey of Spectral Approximations. 5. Spectral Approximation on the Square. 6. Transformation Methods from Square to Non-Square Geometries. 7. Spectral Methods in Non-Square Geometries. 8. Spectral Element Methods. A: Miscellaneous Algorithms. B. Floating Point Arithmetic. C. Basic Linear Algebra Subroutines (BLAS). D. Linear Solvers. E. Data Structures.