000 02418nam a2200385 i 4500
001 CR9781316336069
003 UkCbUP
005 20240913181207.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 150107s2016||||enk o ||1 0|eng|d
020 _a9781316336069 (ebook)
020 _z9781107115613 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA378
_b.G76 2016
082 0 0 _a518.0285/5133
_223
100 1 _aGriffiths, Graham W.,
_eauthor.
245 1 0 _aNumerical analysis using R :
_bsolutions to ODEs and PDEs /
_cGraham W. Griffiths, City University, United Kingdom.
264 1 _aCambridge :
_bCambridge University Press,
_c2016.
300 _a1 online resource (xx, 616 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 May 2016).
520 _aThis 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 _aInitial value problems
_xData processing.
650 0 _aBoundary value problems
_xData processing.
650 0 _aDifferential equations
_xData processing.
650 0 _aDifferential equations, Partial
_xData processing.
650 0 _aNumerical analysis.
650 0 _aR (Computer program language)
776 0 8 _iPrint version:
_z9781107115613
856 4 0 _uhttps://doi.org/10.1017/CBO9781316336069
942 _2ddc
_cEB
999 _c10227
_d10227