Articles liés à The Numerical Treatment of Differential Equations

The Numerical Treatment of Differential Equations - Couverture rigide

 
9783540035190: The Numerical Treatment of Differential Equations

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Synopsis

This book constitutes an attempt to present in a connected fashion some of the most important numerical methods for the solution of ordinary and partial differential equations. The field to be covered is extremely wide, and it is clear that the present treatment cannot be remotely exhaustive; in particular, for partial differential equations it has only been possible to present the basic ideas, and many of the methods developed extensively by workers in applied fields - hydro- dynamics, aerodynamics, etc. -, most of which have been developed for specific problems, have had to be dismissed with little more than a reference to the literature. However, the aim of the book is not so much to reproduce these special methods, their corresponding computing schemes, etc. , as to acquaint a wide circle of engineers, physicists and mathematicians with the general methods, and to show with the aid of numerous worked examples that an idea of the quantitative behaviour of the solution of a differential equation problem can be obtained by numerical means with nothing like the trouble and labour that widespread prejudice would suggest. This prejudice may be partly due to the kind of mathe- matical instruction given in technical colleges and universities, in which, although the theory of differential equations is dealt with in detail, numerical methods are gone into only briefly.

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Autres éditions populaires du même titre

9783662054567: The Numerical Treatment of Differential Equations

Edition présentée

ISBN 10 :  3662054566 ISBN 13 :  9783662054567
Editeur : Springer, 1966
Couverture souple