Orthogonal Polynomials In Matlab
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Orthogonal Polynomials In Matlab
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Author : Walter Gautschi
language : en
Publisher: SIAM
Release Date : 2016-05-23
Orthogonal Polynomials In Matlab written by Walter Gautschi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-23 with Science categories.
Techniques for generating orthogonal polynomials numerically have appeared only recently, within the last 30 or so years.?Orthogonal Polynomials in MATLAB: Exercises and Solutions?describes these techniques and related applications, all supported by MATLAB programs, and presents them in a unique format of exercises and solutions designed by the author to stimulate participation. Important computational problems in the physical sciences are included as models for readers to solve their own problems.?
Orthogonal Polynomials
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Author : Walter Gautschi
language : en
Publisher: Oxford University Press on Demand
Release Date : 2004
Orthogonal Polynomials written by Walter Gautschi and has been published by Oxford University Press on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This is the first book on constructive methods for, and applications of orthogonal polynomials, and the first available collection of relevant Matlab codes. The book begins with a concise introduction to the theory of polynomials orthogonal on the real line (or a portion thereof), relative to a positive measure of integration. Topics which are particularly relevant to computation are emphasized. The second chapter develops computational methods for generating the coefficients in the basic three-term recurrence relation. The methods are of two kinds: moment-based methods and discretization methods. The former are provided with a detailed sensitivity analysis. Other topics addressed concern Cauchy integrals of orthogonal polynomials and their computation, a new discussion of modification algorithms, and the generation of Sobolev orthogonal polynomials. The final chapter deals with selected applications: the numerical evaluation of integrals, especially by Gauss-type quadrature methods, polynomial least squares approximation, moment-preserving spline approximation, and the summation of slowly convergent series. Detailed historic and bibliographic notes are appended to each chapter. The book will be of interest not only to mathematicians and numerical analysts, but also to a wide clientele of scientists and engineers who perceive a need for applying orthogonal polynomials.
A Software Repository For Orthogonal Polynomials
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Author : Walter Gautschi
language : en
Publisher:
Release Date : 2018
A Software Repository For Orthogonal Polynomials written by Walter Gautschi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Digital libraries categories.
"This book provides access to mathematical objects that are of interest in all the sciences and engineering. It provides data object identification numbers where the relevant information (Matlab pieces of software and numerical tables) can be found."--
Special Functions In Physics With Matlab
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Author : Wolfgang Schweizer
language : en
Publisher: Springer Nature
Release Date : 2021-03-25
Special Functions In Physics With Matlab written by Wolfgang Schweizer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-25 with Science categories.
This handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book’s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.
Solving Problems In Scientific Computing Using Maple And Matlab
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Author : Walter Gander
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Solving Problems In Scientific Computing Using Maple And Matlab written by Walter Gander and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
From the reviews: ".. An excellent reference on undergraduate mathematical computing." (American Mathematical Monthly) "... manuals for such systems (Maple and MATLAB) tend to use trivial examples, making it difficult for new users of such systems to quickly apply their power to real problems. The authors have written a good book to address this need. ... the book is worth buying if you want guidance in applying Maple and MATLAB to problems in the workplace..." (Computing Reviews) ".. The presentation is unique, and extremely interesting. I was thrilled to read this text, and to learn the powerful problem-solving skills presented by these authors. I recommend the text highly, as a learning experience, not only to engineering students, but also to anyone interested in computation." (Mathematics of Computation)
Introduction To Finite And Spectral Element Methods Using Matlab
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Author : Constantine Pozrikidis
language : en
Publisher: CRC Press
Release Date : 2014-06-20
Introduction To Finite And Spectral Element Methods Using Matlab written by Constantine Pozrikidis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-20 with Mathematics categories.
Incorporating new topics and original material, Introduction to Finite and Spectral Element Methods Using MATLAB, Second Edition enables readers to quickly understand the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. Readers gain hands-on computational experience by using
Solving Problems In Scientific Computing Using Maple And Matlab
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Author : Walter Gander
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-27
Solving Problems In Scientific Computing Using Maple And Matlab written by Walter Gander and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-27 with Computers categories.
Teaches problem-solving using two of the most important mathematical software packages: Maple and MATLAB. This new edition contains five completely new chapters covering new developments.
Scientific Computing An Introduction Using Maple And Matlab
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Author : Walter Gander
language : en
Publisher: Springer Science & Business
Release Date : 2014-04-23
Scientific Computing An Introduction Using Maple And Matlab written by Walter Gander and has been published by Springer Science & Business this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-23 with Mathematics categories.
Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.
Matlab Differential Equations
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Author : Cesar Lopez
language : en
Publisher: Apress
Release Date : 2014-09-22
Matlab Differential Equations written by Cesar Lopez and has been published by Apress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-22 with Computers categories.
MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Differential Equations introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. In addition to giving an introduction to the MATLAB environment and MATLAB programming, this book provides all the material needed to work on differential equations using MATLAB. It includes techniques for solving ordinary and partial differential equations of various kinds, and systems of such equations, either symbolically or using numerical methods (Euler’s method, Heun’s method, the Taylor series method, the Runge–Kutta method,…). It also describes how to implement mathematical tools such as the Laplace transform, orthogonal polynomials, and special functions (Airy and Bessel functions), and find solutions of finite difference equations.
A Software Repository For Orthogonal Polynomials
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Author : Walter Gautschi
language : en
Publisher: SIAM
Release Date : 2018
A Software Repository For Orthogonal Polynomials written by Walter Gautschi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Science categories.
A Software Repository for Orthogonal Polynomials is the first book that provides graphs and references to online datasets that enable the generation of a large number of orthogonal polynomials with classical, quasi-classical, and nonclassical weight functions. Useful numerical tables are also included. The book will be of interest to scientists, engineers, applied mathematicians, and statisticians.