Publisher's Synopsis
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dependent transport equation in spherical systems was devised by John von Neumann, Herman H. Goldstine and the writer (unpublished) in 1948 in connection with work of the Los Alamos Scientific Laboratory and was used in ex tensive machine calculations in 1949 and 1950.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improved and simplified by integrating along the neutron trajectories in space-time; preliminary tests of the method (unpublished) in this form were made on the Los Alamos computer During the past year and a half further tests have been made on the Univac at New York University for a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.
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