Numerical analysis using R: solutions to ODEs and PDEs
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...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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. |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 May 2016) |
| Beschreibung: | 1 online resource (xx, 616 pages) |
| ISBN: | 9781316336069 |
| DOI: | 10.1017/CBO9781316336069 |
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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. | ||
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Initial value problems / Data processing | |
| 650 | 4 | |a Boundary value problems / Data processing | |
| 650 | 4 | |a Differential equations / Data processing | |
| 650 | 4 | |a Differential equations, Partial / Data processing | |
| 650 | 4 | |a Numerical analysis | |
| 650 | 4 | |a R (Computer program language) | |
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Datensatz im Suchindex
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| author | Griffiths, Graham W. |
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| bvnumber | BV043940253 |
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| ctrlnum | (ZDB-20-CBO)CR9781316336069 (OCoLC)967599678 (DE-599)BVBBV043940253 |
| dewey-full | 518.0285/5133 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518.0285/5133 |
| dewey-search | 518.0285/5133 |
| dewey-sort | 3518.0285 45133 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316336069 |
| format | Electronic eBook |
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| id | DE-604.BV043940253 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316336069 |
| language | English |
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| physical | 1 online resource (xx, 616 pages) |
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| publishDate | 2016 |
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| publisher | Cambridge University Press |
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| spelling | Griffiths, Graham W. Verfasser aut Numerical analysis using R solutions to ODEs and PDEs Graham W. Griffiths, City University, United Kingdom Cambridge Cambridge University Press 2016 1 online resource (xx, 616 pages) txt rdacontent c rdamedia cr rdacarrier 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. Datenverarbeitung Initial value problems / Data processing Boundary value problems / Data processing Differential equations / Data processing Differential equations, Partial / Data processing Numerical analysis R (Computer program language) Erscheint auch als Druckausgabe 978-1-107-11561-3 https://doi.org/10.1017/CBO9781316336069 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Griffiths, Graham W. Numerical analysis using R solutions to ODEs and PDEs Datenverarbeitung Initial value problems / Data processing Boundary value problems / Data processing Differential equations / Data processing Differential equations, Partial / Data processing Numerical analysis R (Computer program language) |
| title | Numerical analysis using R solutions to ODEs and PDEs |
| title_auth | Numerical analysis using R solutions to ODEs and PDEs |
| title_exact_search | Numerical analysis using R solutions to ODEs and PDEs |
| title_full | Numerical analysis using R solutions to ODEs and PDEs Graham W. Griffiths, City University, United Kingdom |
| title_fullStr | Numerical analysis using R solutions to ODEs and PDEs Graham W. Griffiths, City University, United Kingdom |
| title_full_unstemmed | Numerical analysis using R solutions to ODEs and PDEs Graham W. Griffiths, City University, United Kingdom |
| title_short | Numerical analysis using R |
| title_sort | numerical analysis using r solutions to odes and pdes |
| title_sub | solutions to ODEs and PDEs |
| topic | Datenverarbeitung Initial value problems / Data processing Boundary value problems / Data processing Differential equations / Data processing Differential equations, Partial / Data processing Numerical analysis R (Computer program language) |
| topic_facet | Datenverarbeitung Initial value problems / Data processing Boundary value problems / Data processing Differential equations / Data processing Differential equations, Partial / Data processing Numerical analysis R (Computer program language) |
| url | https://doi.org/10.1017/CBO9781316336069 |
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