numerical methods for solving partial differential equations [pdf]
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.
1. Interpolation
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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