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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, City University, United Kingdom.
Reminder of title:	solutions to ODEs and PDEs /
Author:	Griffiths, Graham W.,
Description:	1 online resource (xx, 616 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 May 2016).
Subject:	Initial value problems - Data processing. -
Online resource:	https://doi.org/10.1017/CBO9781316336069
ISBN:	9781316336069 (ebook)

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

Numerical analysis using R :solutions to ODEs and PDEs /Graham W. Griffiths, City University, United Kingdom. - 1 online resource (xx, 616 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 May 2016).

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 (ebook)Subjects--Topical Terms:

1239731
Initial value problems
--Data processing.

LC Class. No.: QA378 / .G76 2016

Dewey Class. No.: 518.0285/5133

Numerical analysis using R : = solutions to ODEs and PDEs /
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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.
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