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Numerical Methods for Solving Partial Differential Equations by George F. Pinder

(A Comprehensive Introduction for Scientists and Engineers)

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** Numerical Methods for Solving Partial Differential Equations (A Comprehensive Introduction for Scientists and Engineers) ** written by
** George F. Pinder **. Published by
** John Wiley and Sons, Inc. **, Year :2018, ISBN: 978-1-119-31611-4.

The book assumes a knowledge of matrix algebra and differential equations. A programming language is also needed if the reader is interested in applying numerical methods to example problems. No prior knowledge of numerical methods is assumed. While a few theorems are used, no proofs are presented.

This book stems from a course I teach in Numerical Methods for Engineers. The course is taught as a precept and typically populated by an approximately equal number of senior undergraduat es and graduate student s from different engineering disciplines. A project of pract ical signi cance is assigned that requires the creat ion of a computer program capable of solving a second-order two-space dimensional equation using nite elements.

** Numerical Methods for Solving Partial Differential Equations (A Comprehensive Introduction for Scientists and Engineers) ** written by
** George F. Pinder **
cover the following topics.

2. Numerical Di erentiat ion

3. Numerical Int egrat ion

4. Initial Value Problems

5. Weighted Residuals Methods

6. Initial Boundary-Value P roblems

7. Finite Di erence Methods in Two Space

8. Finite Element Methods in Two Space

9. Finite Volume Approximat ion in Two Space

10. Initial Boundary-Value P roblems

11. Boundary-Value P roblems in Three Space

12. Nomenclature

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