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Excerpt from A Numerical Method for the Time-Dependent Transport Equation A finite difference method for solving the time dependent transport equation in spherical systems was devised by John von Neumann, Herman H. Goldstine and the writer (unpublished) in 1948 in connection with work of the Los Alamos Scientific Laboratory and was used in ex tensive machine calculations in 1949 and 1950. The essen tial feature of the method was the use of the quasi-cartesian coordinates described below. In 1952 and 1955 the method was further improved and simplified by integrating along the neutron trajectories in space-time; preliminary tests of the method (unpublished) in this form were made on the Los Alamos computer During the past year and a half further tests have been made on the Univac at New York University for a simplified problem and during the course of these tests some further substantial improvements of the method have been devised, to provide more accurate treatment of exceptional net points near the boundary of the system. 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.

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