Numerical Analysis Using R: Solutions to Odes and Pdes Contributor(s): Griffiths, Graham W. (Author) |
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ISBN: 1107115612 ISBN-13: 9781107115613 Publisher: Cambridge University Press
Binding Type: Hardcover - See All Available Formats & Editions Published: April 2016 |
Additional Information |
BISAC Categories: - Mathematics | Probability & Statistics - General |
Dewey: 518.028 |
LCCN: 2015046150 |
Physical Information: 1.5" H x 7.1" W x 10.4" L (2.87 lbs) 632 pages |
Features: Bibliography, Index, Price on Product |
Descriptions, Reviews, Etc. |
Publisher Description: 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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