Handbook of sinc numerical methods
著者
書誌事項
Handbook of sinc numerical methods
（Chapman & Hall/CRC numerical analysis and scientific computing）
CRC Press, c2011
- : hbk
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注記
"A Chapman & Hall book"
Includes bibliographical references (p. 429-460) and indexes
内容説明・目次
内容説明
Handbook of Sinc Numerical Methods presents an ideal road map for handling general numeric problems. Reflecting the author's advances with Sinc since 1995, the text most notably provides a detailed exposition of the Sinc separation of variables method for numerically solving the full range of partial differential equations (PDEs) of interest to scientists and engineers. This new theory, which combines Sinc convolution with the boundary integral equation (IE) approach, makes for exponentially faster convergence to solutions of differential equations. The basis for the approach is the Sinc method of approximating almost every type of operation stemming from calculus via easily computed matrices of very low dimension.
The downloadable resources of this handbook contain roughly 450 MATLAB (R) programs corresponding to exponentially convergent numerical algorithms for solving nearly every computational problem of science and engineering. While the book makes Sinc methods accessible to users wanting to bypass the complete theory, it also offers sufficient theoretical details for readers who do want a full working understanding of this exciting area of numerical analysis.
目次
One-Dimensional Sinc Theory. Sinc Convolution-BIE Methods for PDE and IE. Explicit 1-d Program Solutions via Sinc-Pack. Explicit Program Solutions of PDE via Sinc-Pack. Directory of Programs. Bibliography. Index.
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