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Numerical solution of differential equations. 2nd ed. (English) Zbl 0536.65004

New Delhi etc.: Wiley Eastern Limited. XIX, 698 p. £17.95 (1984).
[For a review of the first edition (1980) see this Zbl 0409.65002.]
This book is an excellent course of numerical methods for ordinary and partial differential equations. It contains the basic concepts and results in the subject, many applications are also given. Almost all methods and results about the numerical treatment of ordinary and partial differential equations are given.
The study of stiff, highly oscillatory and convection-diffusion problems is included. The book may be used by advanced students of applied mathematics, physics, computer science and engineering. The contents of the book is the following: Ch. 1: Elements of ordinary differential initial value problems approximation, Ch. 2: Singlestep methods, Ch. 3: Multistep methods, Ch. 4: Difference methods for boundary value problems in ordinary differential equations, Ch. 5: Difference methods for parabolic partial differential equations, Ch. 6: Difference methods for hyperbolic partial differential equations, Ch. 7: Difference methods for elliptic partial differential equations, Ch. 8: Finite element methods, bibliography, answers and hints to the problems and index.
Reviewer: N.Luca

MSC:

65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
65Lxx Numerical methods for ordinary differential equations
65Mxx Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65Nxx Numerical methods for partial differential equations, boundary value problems

Citations:

Zbl 0409.65002