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Handbook of Sinc Numerical Methods

Frank Stenger
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2011
Number of Pages: 
463
Format: 
Hardcover with CDROM
Series: 
Chapman & Hall/CRC Numerical Analysis and Scientific Computing
Price: 
99.95
ISBN: 
9781439821589
Category: 
Handbook
We do not plan to review this book.

One-Dimensional Sinc Theory
Introduction and Summary
Sampling over the Real Line
More General Sinc Approximation on R
Sinc, Wavelets, Trigonometric and Algebraic Polynomials and Quadratures
Sinc Methods on Γ
Rational Approximation at Sinc Points
Polynomial Methods at Sinc Points

Sinc Convolution-BIE Methods for PDE and IE
Introduction and Summary
Some Properties of Green’s Functions
Free-Space Green’s Functions for PDE
Laplace Transforms of Green’s Functions
Multi-Dimensional Convolution Based on Sinc
Theory of Separation of Variables

Explicit 1-d Program Solutions via Sinc-Pack
Introduction and Summary
Sinc Interpolation
Approximation of Derivatives
Sinc Quadrature
Sinc Indefinite Integration
Sinc Indefinite Convolution
Laplace Transform Inversion
Hilbert and Cauchy Transforms
Sinc Solution of ODE
Wavelet Examples

Explicit Program Solutions of PDE via Sinc-Pack
Introduction and Summary
Elliptic PDE
Hyperbolic PDE
Parabolic PDE
Performance Comparisons

Directory of Programs
Wavelet Formulas
One Dimensional Sinc Programs
Multi-Dimensional Laplace Transform Programs

Bibliography

Index

 


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