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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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