Numerical analysis using R : solutions to ODEs and PDEs / Graham W. Griffiths.
Material type:
TextPublication details: New York, NY : Cambridge University Press, 2016.Description: xx, 616 pages : illustrations (some color) ; 26 cmISBN: - 9781107115613 (hardback : alk. paper)
- 518.02855133 23 G855
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 518.02855133 G855 (Browse shelf(Opens below)) | Available | 138146 |
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| 518.0285 H638 MATLAB guide | 518.0285 P935 Numerical recipes | 518.02855133 B655 Using R for numerical analysis in science and engineering / | 518.02855133 G855 Numerical analysis using R : | 518.094982 P825 Analiza numerica: notiuni introductive de calcul approximativ/ | 518.1 L668 Discrete structure of computer science | 518.1 N576 LLL algorithm |
Includes bibliographical references and index.
1. ODE integration methods;
2. Stability analysis of ODE integrators;
3. Numerical solution of PDEs;
4. PDE stability analysis;
5. Dissipation and dispersion;
6. High resolution schemes;
7. Meshless methods;
8. Conservation laws;
9. Case study: analysis of golf ball flight;
10. Case study: Taylor–Sedov blast wave;
11. Case study: the carbon cycle.
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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