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

Sinopsis

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.

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