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Numerical analysis using R = solutio...

Griffiths, Graham W.

Numerical analysis using R = solutions to ODEs and PDEs /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Numerical analysis using R/ Graham W. Griffiths.
Reminder of title:	solutions to ODEs and PDEs /
Author:	Griffiths, Graham W.
Published:	Cambridge :Cambridge University Press, : 2016.,
Description:	xx, 616 p. :ill., digital ; : 24 cm.;
Subject:	Initial value problems - Data processing. -
Online resource:	https://doi.org/10.1017/CBO9781316336069
ISBN:	9781316336069

Numerical analysis using R = solutions to ODEs and PDEs /
Griffiths, Graham W.

Numerical analysis using Rsolutions to ODEs and PDEs /[electronic resource] :Graham W. Griffiths. - Cambridge :Cambridge University Press,2016. - xx, 616 p. :ill., digital ;24 cm.

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.

ISBN: 9781316336069Subjects--Topical Terms:

1239731
Initial value problems
--Data processing.

LC Class. No.: QA378 / .G76 2016

Dewey Class. No.: 518.02855133

Numerical analysis using R = solutions to ODEs and PDEs /
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020 $a 9781316336069 $q (electronic bk.)
020 $a 9781107115613 $q (paper)
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041 0 $a eng
050 4 $a QA378 $b .G76 2016
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100 1 $a Griffiths, Graham W. $3 909474
245 1 0 $a Numerical analysis using R $h [electronic resource] : $b solutions to ODEs and PDEs / $c Graham W. Griffiths.
260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a xx, 616 p. : $b ill., digital ; $c 24 cm.
520 $a 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.
650 0 $a Initial value problems $x Data processing. $3 1239731
650 0 $a Boundary value problems $x Data processing. $3 1239732
650 0 $a Differential equations $x Data processing. $3 528211
650 0 $a Differential equations, Partial $x Data processing. $3 903520
650 0 $a Numerical analysis. $3 527939
650 0 $a R (Computer program language) $3 679069
856 4 0 $u https://doi.org/10.1017/CBO9781316336069

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