Third Order Difference Methods for Hyperbolic Equations (Classic Reprint) - Hardcover

Burstein, Samuel Z.

Hardcover

ISBN 10: 048396610X ISBN 13: 9780483966109

Verlag: FB&C LTD, 2018

Inhaltsangabe

Excerpt from Third Order Difference Methods for Hyperbolic Equations

In recent years there has appeared in the literature a surge in the number of papers dealing with numerical solutions of partial differential equations. And, usually, the difference methods employed are of first or second order of accuracy.

This restriction is not an arbitrary one, but rather, is related to the fact that computing machines have been relatively slow and their high speed memory capacity has been small; hence a usable computational scheme must necessarily have the attribute of simplicity. In problems of more than one space dimension, even greater emphasis is placed on simplicity.

It is anticipated, however, that a new era of computability is almost upon us. We are referring to the use of parallel processors, i.e. N-serial type computing processors, each of which is synchronized and each of which can communicate with the other processors through a common memory or central controller. The value of N may be from 26 to 28 and the arithmetic speed of each individual processing unit will be in the sub - microsecond range. By proper organizing of the data, each mesh point or string of mesh points may have its own central processor, which means the solution on the entire mesh may be advanced essentially simultaneously. For such a class of computing machines the requirement of simplicity for the difference scheme may be relaxed.

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Details zur Ausgabe

• Verlag: FB&C LTD
• Erscheinungsdatum: 2018
• Sprache: Englisch
• ISBN 10: 048396610X
• ISBN 13: 9780483966109
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 62
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