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Handbook of Sinc Numerical Methods

2016-04-19 Mathematics
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Release : 2016-04-19
Genre : Mathematics
Kind : eBook
Book Rating : 593/5 ( reviews)

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Book Synopsis Handbook of Sinc Numerical Methods by : Frank Stenger

Download or read book Handbook of Sinc Numerical Methods written by Frank Stenger. This book was released on 2016-04-19. Available in PDF, EPUB and Kindle. Book excerpt: 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 sci

New Sinc Methods of Numerical Analysis

2021-04-23 Mathematics
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Release : 2021-04-23
Genre : Mathematics
Kind : eBook
Book Rating : 16X/5 ( reviews)

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Book Synopsis New Sinc Methods of Numerical Analysis by : Gerd Baumann

Download or read book New Sinc Methods of Numerical Analysis written by Gerd Baumann. This book was released on 2021-04-23. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume honors the 80th birthday of Frank Stenger who established new Sinc methods in numerical analysis.The contributions, written independently from each other, show the new developments in numerical analysis in connection with Sinc methods and approximations of solutions for differential equations, boundary value problems, integral equations, integrals, linear transforms, eigenvalue problems, polynomial approximations, computations on polyhedra, and many applications. The approximation methods are exponentially converging compared with standard methods and save resources in computation. They are applicable in many fields of science including mathematics, physics, and engineering.The ideas discussed serve as a starting point in many different directions in numerical analysis research and applications which will lead to new and unprecedented results. This book will appeal to a wide readership, from students to specialized experts.

Sinc Methods for Quadrature and Differential Equations

1992 Mathematics
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Release : 1992
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Sinc Methods for Quadrature and Differential Equations by : John Lund

Download or read book Sinc Methods for Quadrature and Differential Equations written by John Lund. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for a graduate course in numerical methods, offering an elementary introduction to sin approximation, a relatively new technique.

Numerical Methods Based on Sinc and Analytic Functions

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 062/5 ( reviews)

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Book Synopsis Numerical Methods Based on Sinc and Analytic Functions by : Frank Stenger

Download or read book Numerical Methods Based on Sinc and Analytic Functions written by Frank Stenger. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Many mathematicians, scientists, and engineers are familiar with the Fast Fourier Transform, a method based upon the Discrete Fourier Transform. Perhaps not so many mathematicians, scientists, and engineers recognize that the Discrete Fourier Transform is one of a family of symbolic formulae called Sinc methods. Sinc methods are based upon the Sinc function, a wavelet-like function replete with identities which yield approximations to all classes of computational problems. Such problems include problems over finite, semi-infinite, or infinite domains, problems with singularities, and boundary layer problems. Written by the principle authority on the subject, this book introduces Sinc methods to the world of computation. It serves as an excellent research sourcebook as well as a textbook which uses analytic functions to derive Sinc methods for the advanced numerical analysis and applied approximation theory classrooms. Problem sections and historical notes are included.

Numerical Analysis

2011-12-06 Mathematics
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Release : 2011-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 597/5 ( reviews)

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Book Synopsis Numerical Analysis by : Walter Gautschi

Download or read book Numerical Analysis written by Walter Gautschi. This book was released on 2011-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the edition also comes with a complete solutions manual, carefully developed and polished by the author, which will serve as an exceptionally valuable resource for instructors.

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