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Numerical analysis using Rsolutions ...

Griffiths, Graham W.

Numerical analysis using Rsolutions to ODEs and PDEs /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Numerical analysis using RGraham W. Griffiths.
其他題名:	solutions to ODEs and PDEs /
作者:	Griffiths, Graham W.
出版者:	Cambridge :Cambridge University Press,2016.
面頁冊數:	xx, 616 p. :ill., digital ;24 cm.
標題:	Initial value problemsData processing.
電子資源:	https://doi.org/10.1017/CBO9781316336069
ISBN:	9781316336069$q(electronic bk.)

Numerical analysis using Rsolutions 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: 9781316336069$q(electronic bk.)Subjects--Topical Terms:

844350
Initial value problems
--Data processing.

LC Class. No.: QA378 / .G76 2016

Dewey Class. No.: 518.02855133

Numerical analysis using Rsolutions to ODEs and PDEs /
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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 844350
650 0 $a Boundary value problems $x Data processing. $3 736368
650 0 $a Differential equations $x Data processing. $3 189627
650 0 $a Differential equations, Partial $x Data processing. $3 213003
650 0 $a Numerical analysis. $3 182073
650 0 $a R (Computer program language) $3 210846
856 4 0 $u https://doi.org/10.1017/CBO9781316336069