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. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.