Handbook of Sinc Numerical Methods
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Opis: Handbook of Sinc Numerical Methods - Frank Stenger, F Stenger

This handbook is essential for solving numerical problems in mathematics, computer science, and engineering. The methods presented are similar to finite elements but more adept at solving analytic problems with singularities over irregularly shaped yet analytically described regions. The author makes sinc methods accessible to potential users by limiting details as to how or why these methods work. From calculus to partial differential and integral equations, the book can be used to approximate almost every type of operation. It includes more than 470 MATLAB[registered] programs, along with a CD-ROM containing these programs for ease of use. The author, a well-known expert in this area, has published many papers dealing with various aspects of sinc methods. A key result is that sinc methods can converge very fast under certain assumptions on the given problem. ... practical aspects are covered in great detail. In particular, there is an accompanying CD-ROM that contains about 450 MATLAB programs where sinc methods are implemented to solve various problems. The book provides a good description of these programs, so a user with a certain equation to solve can easily find an appropriate sinc algorithm. ... it should be useful reading for practitioners who have heard about sinc methods and want to use them. -Kai Diethelm, Computing Reviews, September 2011One-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 I" 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


Szczegóły: Handbook of Sinc Numerical Methods - Frank Stenger, F Stenger

Tytuł: Handbook of Sinc Numerical Methods
Autor: Frank Stenger, F Stenger
Producent: CRC Press Inc.
ISBN: 9781439821589
Rok produkcji: 2010
Ilość stron: 482
Oprawa: Twarda
Waga: 0.84 kg


Recenzje: Handbook of Sinc Numerical Methods - Frank Stenger, F Stenger
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Handbook of Sinc Numerical Methods

,

This handbook is essential for solving numerical problems in mathematics, computer science, and engineering. The methods presented are similar to finite elements but more adept at solving analytic problems with singularities over irregularly shaped yet analytically described regions. The author makes sinc methods accessible to potential users by limiting details as to how or why these methods work. From calculus to partial differential and integral equations, the book can be used to approximate almost every type of operation. It includes more than 470 MATLAB[registered] programs, along with a CD-ROM containing these programs for ease of use. The author, a well-known expert in this area, has published many papers dealing with various aspects of sinc methods. A key result is that sinc methods can converge very fast under certain assumptions on the given problem. ... practical aspects are covered in great detail. In particular, there is an accompanying CD-ROM that contains about 450 MATLAB programs where sinc methods are implemented to solve various problems. The book provides a good description of these programs, so a user with a certain equation to solve can easily find an appropriate sinc algorithm. ... it should be useful reading for practitioners who have heard about sinc methods and want to use them. -Kai Diethelm, Computing Reviews, September 2011One-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 I" 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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Cena 369,60 PLN
Nasza cena 345,58 PLN
Oszczędzasz 6%
Wysyłka: Niedostępna
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Szczegóły: Handbook of Sinc Numerical Methods - Frank Stenger, F Stenger

Tytuł: Handbook of Sinc Numerical Methods
Autor: Frank Stenger, F Stenger
Producent: CRC Press Inc.
ISBN: 9781439821589
Rok produkcji: 2010
Ilość stron: 482
Oprawa: Twarda
Waga: 0.84 kg


Recenzje: Handbook of Sinc Numerical Methods - Frank Stenger, F Stenger

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