Numerical Analysis Using R Solutions to ODEs and PDEs

This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs. The author offers practical methods that can be adapted to solve wide ranges of problems and illustrates them in the increasingly popular open source computer language...

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Hlavný autor: Griffiths, Graham W.
Médium: E-kniha Kniha
Jazyk:English
Vydavateľské údaje: New York, N.Y Cambridge University Press 26.04.2016
Predmet:
Boundary value problems
Boundary value problems > Data processing
Differential equations
Differential equations > Data processing
Differential equations, Partial
Differential equations, Partial > Data processing
General Engineering & Project Administration
General References
Initial value problems
Initial value problems > Data processing
Numerical analysis
R (Computer program language)
ISBN:9781107115613, 1107115612
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Popis
Shrnutí:This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs. The author offers practical methods that can be adapted to solve wide ranges of problems and illustrates them in the increasingly popular open source computer language R, allowing integration with more statistically based methods. The book begins with standard techniques, followed by an overview of 'high resolution' flux limiters and WENO to solve problems with solutions exhibiting high gradient phenomena. Meshless methods using radial basis functions are then discussed in the context of scattered data interpolation and the solution of PDEs on irregular grids. Three detailed case studies demonstrate how numerical methods can be used to tackle very different complex problems. With its focus on practical solutions to real-world problems, this book will be useful to students and practitioners in all areas of science and engineering, especially those using R.
Bibliografia:Includes bibliographical references (p. 581-583) and index
ISBN:9781107115613
1107115612
DOI:10.1017/CBO9781316336069