Richardson Extrapolation
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Richardson Extrapolation
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Author : Zahari Zlatev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-11-07
Richardson Extrapolation written by Zahari Zlatev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-07 with Mathematics categories.
Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes. A third issue, the stability of the computations, is very often the most important one and, therefore, it is the major topic studied in all chapters of this book.Clear explanations and many examples make this text an easy-to-follow handbook for applied mathematicians, physicists and engineers working with scientific models based on differential equations. ContentsThe basic properties of Richardson extrapolationRichardson extrapolation for explicit Runge-Kutta methodsLinear multistep and predictor-corrector methodsRichardson extrapolation for some implicit methodsRichardson extrapolation for splitting techniquesRichardson extrapolation for advection problemsRichardson extrapolation for some other problemsGeneral conclusions
Richardson Extrapolation
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Author : Zahari Zlatev
language : en
Publisher:
Release Date : 2018
Richardson Extrapolation written by Zahari Zlatev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Differential equations categories.
Practical Extrapolation Methods
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Author : Avram Sidi
language : en
Publisher: Cambridge University Press
Release Date : 2003-06-05
Practical Extrapolation Methods written by Avram Sidi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-05 with Computers categories.
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The Splitting Extrapolation Method
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Author : C. B. Liem
language : en
Publisher: World Scientific
Release Date : 1995
The Splitting Extrapolation Method written by C. B. Liem and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems. It overcomes the difficulties arising from Richardson's extrapolation when applied to these problems and obtains higher accuracy solutions with lower cost and a high degree of parallelism. The method is particularly suitable for solving large scale scientific and engineering problems.This book presents applications of the method to multidimensional integration, integral equations and partial differential equations. It also gives an introduction to combination methods which are relevant to splitting extrapolation. The book is intended for those who may exploit these methods and it requires only a basic knowledge of numerical analysis.
Richardson Extrapolation
DOWNLOAD
Author : Zahari Zlatev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-11-07
Richardson Extrapolation written by Zahari Zlatev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-07 with Mathematics categories.
Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes. A third issue, the stability of the computations, is very often the most important one and, therefore, it is the major topic studied in all chapters of this book. Clear explanations and many examples make this text an easy-to-follow handbook for applied mathematicians, physicists and engineers working with scientific models based on differential equations. Contents The basic properties of Richardson extrapolation Richardson extrapolation for explicit Runge-Kutta methods Linear multistep and predictor-corrector methods Richardson extrapolation for some implicit methods Richardson extrapolation for splitting techniques Richardson extrapolation for advection problems Richardson extrapolation for some other problems General conclusions
Application Of Richardson S Extrapolation To Numerical Evaluation Of Sonic Boom Integrals
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Author : William B. Igoe
language : en
Publisher:
Release Date : 1967
Application Of Richardson S Extrapolation To Numerical Evaluation Of Sonic Boom Integrals written by William B. Igoe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Extrapolation categories.
Splitting Extrapolation Method The A New Technique In Numerical Solution Of Multidimensional Prob
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Author : C B Liem
language : en
Publisher: World Scientific
Release Date : 1995-09-30
Splitting Extrapolation Method The A New Technique In Numerical Solution Of Multidimensional Prob written by C B Liem and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-30 with Mathematics categories.
The splitting extrapolation method is a newly developed technique for solving multidimensional mathematical problems. It overcomes the difficulties arising from Richardson's extrapolation when applied to these problems and obtains higher accuracy solutions with lower cost and a high degree of parallelism. The method is particularly suitable for solving large scale scientific and engineering problems.This book presents applications of the method to multidimensional integration, integral equations and partial differential equations. It also gives an introduction to combination methods which are relevant to splitting extrapolation. The book is intended for those who may exploit these methods and it requires only a basic knowledge of numerical analysis.
Numerical Methods In Engineering With Python
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Author : Jaan Kiusalaas
language : en
Publisher: Cambridge University Press
Release Date : 2010-01-29
Numerical Methods In Engineering With Python written by Jaan Kiusalaas and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-29 with Technology & Engineering categories.
This text is for engineering students and a reference for practising engineers, especially those who wish to explore Python. This new edition features 18 additional exercises and the addition of rational function interpolation. Brent's method of root finding was replaced by Ridder's method, and the Fletcher-Reeves method of optimization was dropped in favor of the downhill simplex method. Each numerical method is explained in detail, and its shortcomings are pointed out. The examples that follow individual topics fall into two categories: hand computations that illustrate the inner workings of the method and small programs that show how the computer code is utilized in solving a problem. This second edition also includes more robust computer code with each method, which is available on the book website. This code is made simple and easy to understand by avoiding complex bookkeeping schemes, while maintaining the essential features of the method.
Numerical Recipes 3rd Edition
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Author : William H. Press
language : en
Publisher: Cambridge University Press
Release Date : 2007-09-06
Numerical Recipes 3rd Edition written by William H. Press and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-06 with Computers categories.
Do you want easy access to the latest methods in scientific computing? This greatly expanded third edition of Numerical Recipes has it, with wider coverage than ever before, many new, expanded and updated sections, and two completely new chapters. The executable C++ code, now printed in colour for easy reading, adopts an object-oriented style particularly suited to scientific applications. Co-authored by four leading scientists from academia and industry, Numerical Recipes starts with basic mathematics and computer science and proceeds to complete, working routines. The whole book is presented in the informal, easy-to-read style that made earlier editions so popular. Highlights of the new material include: a new chapter on classification and inference, Gaussian mixture models, HMMs, hierarchical clustering, and SVMs; a new chapter on computational geometry, covering KD trees, quad- and octrees, Delaunay triangulation, and algorithms for lines, polygons, triangles, and spheres; interior point methods for linear programming; MCMC; an expanded treatment of ODEs with completely new routines; and many new statistical distributions. For support, or to subscribe to an online version, please visit www.nr.com.
Fundamentals Of Engineering Numerical Analysis
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Author : Parviz Moin
language : en
Publisher: Cambridge University Press
Release Date : 2001-08-20
Fundamentals Of Engineering Numerical Analysis written by Parviz Moin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-20 with Mathematics categories.
Engineers need hands-on experience in solving complex engineering problems with computers. This text introduces numerical methods and shows how to develop, analyze, and use them. A thorough and practical book, it is is intended as a first course in numerical analysis, primarily for beginning graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods. They will learn what factors affect accuracy, stability, and convergence. A special feature is the numerous examples and exercises that are included to give students first-hand experience.