國立高雄大學圖資館 |

Language: English

Back

Numerical analysis using Rsolutions ...

Griffiths, Graham W.

Numerical analysis using Rsolutions to ODEs and PDEs /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical analysis using RGraham 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 problemsData processing.
Online resource:	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 /
LDR:01746nmm a2200241 a 4500 001 560406
003 UkCbUP
005 20160509132959.0
006 m d
007 cr nn 008maaau
008 200113s2016 enk o 1 0 eng d
020 $a 9781316336069$q(electronic bk.)
020 $a 9781107115613$q(paper)
035 $a CR9781316336069
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA378 $b .G76 2016
082 0 4 $a 518.02855133 $2 23
090 $a QA378 $b .G855 2016
100 1 $a Griffiths, Graham W. $3 646268
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 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