Cover image for Computational mathematics in engineering and applied science :  ODEs,DAEs, and PDEs
Title:
Computational mathematics in engineering and applied science : ODEs,DAEs, and PDEs
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Publication Information:
Boca Raton, FL : CRC Press, 1993
ISBN:
9780849373732

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30000004556324 TA347.D45 S34 1994 Open Access Book Book
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Summary

Summary

Computational Mathematics in Engineering and Applied Science provides numerical algorithms and associated software for solving a spectrum of problems in ordinary differential equations (ODEs), differential algebraic equations (DAEs), and partial differential equations (PDEs) that occur in science and engineering. It presents detailed examples, each including a complete analysis of a computer code written in transportable Fortran 77. Each example also includes a discussion of the problem equations, the coding of the equations, and the computed numerical solution. The benefits of using quality general-purpose library routines to solve ODE/DAE/PDE problems are illustrated as well.

This popular, classic book is a valuable reference for methodologies in numerical mathematics applicable to a broad spectrum of problems encountered across many disciplines- virtually all fields of science and engineering. It also serves as an excellent text for senior undergraduates or beginning graduate students in computational science.


Reviews 1

Choice Review

Schiesser's book is dedicated to the application of one method, the numerical method of lines, to the solution of various ordinary and partial differential equations. Chapter 2 deals with ordinary differential equations; as an example, Feynman's orbit problem is analyzed in some detail. Chapters 3 and 4 are to devoted to partial differential equations (PDEs) of the first order in time. Here the discussion of first and second order PDEs is illustrated by examples from physics. The last, and fifth, chapter treats PDEs of 2nd and zeroth order in time. Schiesser's book is basically a collection of step-by-step numerical solutions (via subroutines) of some nonstandard, practical problems that may serve as guidelines to the solution of other PDEs with similar characteristics. A book useful to researchers. R. Solecki; University of Connecticut