Numerical solution of ordinary differential equations

Numerical solution of ordinary differential equations by L Fox epub pdf fb2

Title: Numerical solution of ordinary differential equations
Author: L Fox
ISBN10: 0412226405
ISBN13: 978-0412226403
Publisher: Chapman and Hall (1987)
Language: English
Subcategory: Mathematics
Size PDF: 1766 kb
Size Fb2: 1462 kb
Rating: 4.9/5
Votes: 509
Pages: 249 pages
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Numerical solution of ordinary differential equations by L Fox

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Nearly 20 years ago we produced a treatise (of about the same length as this book) entitled Computing methods for scientists and engineers. It was stated that most computation is performed by workers whose mathematical training stopped somewhere short of the 'professional' level, and that some books are therefore needed which use quite simple mathematics but which nevertheless communicate the essence of the 'numerical sense' which is exhibited by the real computing experts and which is surely needed, at least to some extent, by all who use modern computers and modern numerical software. In that book we treated, at no great length, a variety of computational problems in which the material on ordinary differential equations occupied about 50 pages. At that time it was quite common to find books on numerical analysis, with a little on each topic ofthat field, whereas today we are more likely to see similarly-sized books on each major topic: for example on numerical linear algebra, numerical approximation, numerical solution ofordinary differential equations, numerical solution of partial differential equations, and so on. These are needed because our numerical education and software have improved and because our relevant problems exhibit more variety and more difficulty. Ordinary differential equa­ tions are obvious candidates for such treatment, and the current book is written in this sense.