Numerical Solution of Partial Differential Equations: Finite Difference Methods (Oxford Applied Mathematics and Computing Science Series) 3rd Edition by G. D. Smith (PDF)

Description

Substantially revised, this authoritative study covers the standard finite difference methods of parabolic, hyperbolic, and elliptic equations, and includes the concomitant theoretical work on consistency, stability, and convergence. The new edition includes revised and greatly expanded sections on stability based on the Lax-Richtmeyer definition, the application of Pade approximants to systems of ordinary differential equations for parabolic and hyperbolic equations, and a considerably improved presentation of iterative methods. A fast-paced introduction to numerical methods, this will be a useful volume for students of mathematics and engineering, and for postgraduates and professionals who need a clear, concise grounding in this discipline.

User’s Reviews

Editorial Reviews: About the Author G. D. Smith is at Brunel University.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is the third version of Smith’s book on fd for pde. I think this is the most pedagogical introduction tosubject. Its best chapters are on parabolic equations, it also contains a satisfactory section on elliptic equations, but its chapters on hyperbolic equations are weak. Anyway this is a very useful textbook and Iam pleased with my purchase. So five stars

⭐I found the information made available in this book very useful. The author has put in a good effort. Thanks.

⭐A classic. Rigorous enough for an applied mathematician yet practical enough for an engineer. Worked-out exam,ples are very helpful. Recommended.

⭐An excellent book, if you’re interested in finite difference methods for linear PDEs. I used an earlier edition as a textbook 30 years ago, and found it exceedingly useful. As the earlier reviewer states, the exposition is much closer to what you’d want if you were writing code, than what you’d want if you were proving theorems about stability and convergence. But the woods are full of books addressing the theoretical aspects. Books like this don’t show up very often.

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