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9781334017032: A Numerical Method for the Time-Dependent Transport Equation (Classic Reprint)

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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dependent transport equation in spherical systems was devised by John von Neumann, Herman H. Goldstine and the writer (unpublished) in 1948 in connection with work of the Los Alamos Scientific Laboratory and was used in ex tensive machine calculations in 1949 and 1950.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improved and simplified by integrating along the neutron trajectories in space-time; preliminary tests of the method (unpublished) in this form were made on the Los Alamos computer During the past year and a half further tests have been made on the Univac at New York University for a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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Robert D. Richtmyer
Editore: Forgotten Books, 2018
ISBN 10: 1334017034 ISBN 13: 9781334017032
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Paperback. Condizione: New. Print on Demand. This book presents a detailed investigation into the development of the numerical method devised to solve the integro-differential equation of neutron transport in a sphere. The author provides a comprehensive account of the method, including its theoretical foundations, numerical implementation, and extensive testing through computer simulations. The book explores the complexities of neutron transport in a spherical system, offering valuable insights into the behavior of neutrons and the effectiveness of the numerical approach in modeling real-world scenarios. Through its in-depth analysis, this book makes a significant contribution to the field of computational physics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781334017032_0

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Robert D. Richtmyer
Editore: Forgotten Books, 2019
ISBN 10: 1334017034 ISBN 13: 9781334017032
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LX-9781334017032

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