Handbook Of Sinc Numerical Methods

Author : Frank Stenger
Publisher : CRC Press
Page : 482 pages
File Size : 44,7 Mb
Release : 2017-05-31
Category : Electronic
ISBN : 1138116173

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Handbook of Sinc Numerical Methods by Frank Stenger Pdf

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 CD-ROM of this handbook contains roughly 450 MATLAB� 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.

Author : Frank Stenger
Publisher : CRC Press
Page : 482 pages
File Size : 43,9 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781439821596

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Handbook of Sinc Numerical Methods by Frank Stenger Pdf

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

Author : Gerd Baumann
Publisher : Springer Nature
Page : 411 pages
File Size : 54,9 Mb
Release : 2021-04-23
Category : Mathematics
ISBN : 9783030497163

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New Sinc Methods of Numerical Analysis by Gerd Baumann Pdf

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.

Author : John Lund,Kenneth L. Bowers
Publisher : SIAM
Page : 306 pages
File Size : 40,5 Mb
Release : 1992-01-01
Category : Mathematics
ISBN : 9780898712988

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Sinc Methods for Quadrature and Differential Equations by John Lund,Kenneth L. Bowers Pdf

Here is an elementary development of the Sinc-Galerkin method with the focal point being ordinary and partial differential equations. This is the first book to explain this powerful computational method for treating differential equations. These methods are an alternative to finite difference and finite element schemes, and are especially adaptable to problems with singular solutions. The text is written to facilitate easy implementation of the theory into operating numerical code. The authors' use of differential equations as a backdrop for the presentation of the material allows them to present a number of the applications of the sinc method. Many of these applications are useful in numerical processes of interest quite independent of differential equations. Specifically, numerical interpolation and quadrature, while fundamental to the Galerkin development, are useful in their own right.

Author : Frank Stenger
Publisher : Springer Science & Business Media
Page : 580 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461227069

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Numerical Methods Based on Sinc and Analytic Functions by Frank Stenger Pdf

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.

Author : Philippe G. Ciarlet,Jacques-Louis Lions
Publisher : Gulf Professional Publishing
Page : 502 pages
File Size : 55,6 Mb
Release : 1990
Category : Mathematics
ISBN : 0444512470

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Handbook of Numerical Analysis by Philippe G. Ciarlet,Jacques-Louis Lions Pdf

Author : Walter Gautschi
Publisher : Springer Science & Business Media
Page : 611 pages
File Size : 44,6 Mb
Release : 2011-12-06
Category : Mathematics
ISBN : 9780817682590

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Numerical Analysis by Walter Gautschi Pdf

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.

Author : Philipp Birken
Publisher : CRC Press
Page : 246 pages
File Size : 52,7 Mb
Release : 2021-07-04
Category : Mathematics
ISBN : 9781000403527

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Numerical Methods for Unsteady Compressible Flow Problems by Philipp Birken Pdf

Numerical Methods for Unsteady Compressible Flow Problems is written to give both mathematicians and engineers an overview of the state of the art in the field, as well as of new developments. The focus is on methods for the compressible Navier-Stokes equations, the solutions of which can exhibit shocks, boundary layers and turbulence. The idea of the text is to explain the important ideas to the reader, while giving enough detail and pointers to literature to facilitate implementation of methods and application of concepts. The book covers high order methods in space, such as Discontinuous Galerkin methods, and high order methods in time, in particular implicit ones. A large part of the text is reserved to discuss iterative methods for the arising large nonlinear and linear equation systems. Ample space is given to both state-of-the-art multigrid and preconditioned Newton-Krylov schemes. Features Applications to aerospace, high-speed vehicles, heat transfer, and more besides Suitable as a textbook for graduate-level courses in CFD, or as a reference for practitioners in the field

Author : Sergiy Butenko,Panos M. Pardalos
Publisher : CRC Press
Page : 415 pages
File Size : 48,7 Mb
Release : 2014-03-11
Category : Business & Economics
ISBN : 9781466577770

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Numerical Methods and Optimization by Sergiy Butenko,Panos M. Pardalos Pdf

For students in industrial and systems engineering (ISE) and operations research (OR) to understand optimization at an advanced level, they must first grasp the analysis of algorithms, computational complexity, and other concepts and modern developments in numerical methods. Satisfying this prerequisite, Numerical Methods and Optimization: An Introduction combines the materials from introductory numerical methods and introductory optimization courses into a single text. This classroom-tested approach enriches a standard numerical methods syllabus with optional chapters on numerical optimization and provides a valuable numerical methods background for students taking an introductory OR or optimization course. The first part of the text introduces the necessary mathematical background, the digital representation of numbers, and different types of errors associated with numerical methods. The second part explains how to solve typical problems using numerical methods. Focusing on optimization methods, the final part presents basic theory and algorithms for linear and nonlinear optimization. The book assumes minimal prior knowledge of the topics. Taking a rigorous yet accessible approach to the material, it includes some mathematical proofs as samples of rigorous analysis but in most cases, uses only examples to illustrate the concepts. While the authors provide a MATLAB® guide and code available for download, the book can be used with other software packages.

Author : Changpin Li,Fanhai Zeng
Publisher : CRC Press
Page : 300 pages
File Size : 48,5 Mb
Release : 2015-05-19
Category : Mathematics
ISBN : 9781482253818

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Numerical Methods for Fractional Calculus by Changpin Li,Fanhai Zeng Pdf

Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference methods for fractional ordinary differential equations (FODEs) and fractional partial differential equations (FPDEs), and finite element methods for FPDEs.The book introduces the basic definitions and propertie

Author : James P Howard, II
Publisher : CRC Press
Page : 257 pages
File Size : 50,7 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9781498723640

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Computational Methods for Numerical Analysis with R by James P Howard, II Pdf

Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential equations can be implemented in pure R code. Every algorithm described is given with a complete function implementation in R, along with examples to demonstrate the function and its use. Computational Methods for Numerical Analysis with R is intended for those who already know R, but are interested in learning more about how the underlying algorithms work. As such, it is suitable for statisticians, economists, and engineers, and others with a computational and numerical background.

Author : Xiaoping Shen,Ahmed I. Zayed
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 53,8 Mb
Release : 2012-09-18
Category : Technology & Engineering
ISBN : 9781461441441

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Multiscale Signal Analysis and Modeling by Xiaoping Shen,Ahmed I. Zayed Pdf

Multiscale Signal Analysis and Modeling presents recent advances in multiscale analysis and modeling using wavelets and other systems. This book also presents applications in digital signal processing using sampling theory and techniques from various function spaces, filter design, feature extraction and classification, signal and image representation/transmission, coding, nonparametric statistical signal processing, and statistical learning theory.

Author : Prem K. Kythe,Michael R. Schäferkotter
Publisher : CRC Press
Page : 621 pages
File Size : 48,9 Mb
Release : 2004-12-20
Category : Mathematics
ISBN : 9780203490303

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Handbook of Computational Methods for Integration by Prem K. Kythe,Michael R. Schäferkotter Pdf

During the past 20 years, there has been enormous productivity in theoretical as well as computational integration. Some attempts have been made to find an optimal or best numerical method and related computer code to put to rest the problem of numerical integration, but the research is continuously ongoing, as this problem is still very much open-

Author : Anonim
Publisher : Academic Press
Page : 398 pages
File Size : 41,8 Mb
Release : 2015-08-06
Category : Science
ISBN : 9780128028681

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Concepts of Mathematical Physics in Chemistry: A Tribute to Frank E. Harris - Part A by Anonim Pdf

This volume presents a series of articles concerning current important topics in quantum chemistry. Presents surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology Features detailed reviews written by leading international researchers

Author : Ahmed I. Zayed,Gerhard Schmeisser
Publisher : Springer
Page : 487 pages
File Size : 50,5 Mb
Release : 2014-11-03
Category : Mathematics
ISBN : 9783319088013

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New Perspectives on Approximation and Sampling Theory by Ahmed I. Zayed,Gerhard Schmeisser Pdf

Paul Butzer, who is considered the academic father and grandfather of many prominent mathematicians, has established one of the best schools in approximation and sampling theory in the world. He is one of the leading figures in approximation, sampling theory, and harmonic analysis. Although on April 15, 2013, Paul Butzer turned 85 years old, remarkably, he is still an active research mathematician. In celebration of Paul Butzer’s 85th birthday, New Perspectives on Approximation and Sampling Theory is a collection of invited chapters on approximation, sampling, and harmonic analysis written by students, friends, colleagues, and prominent active mathematicians. Topics covered include approximation methods using wavelets, multi-scale analysis, frames, and special functions. New Perspectives on Approximation and Sampling Theory requires basic knowledge of mathematical analysis, but efforts were made to keep the exposition clear and the chapters self-contained. This volume will appeal to researchers and graduate students in mathematics, applied mathematics and engineering, in particular, engineers working in signal and image processing.