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Unlike the work presented here, most previous numerical treat ments of the Boltzmann equation relied on a Monte - Carlo technique; some of these treatments are ingenious and interesting, but none can be considered accurate. See and [13] Reference [9] is particularly helpful.

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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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Alexandre Joel Chorin
Editore: Forgotten Books, 2018
ISBN 10: 1330168453 ISBN 13: 9781330168455
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Alexandre Joel Chorin
Editore: Forgotten Books, 2018
ISBN 10: 1330168453 ISBN 13: 9781330168455
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Alexandre Joel Chorin
Editore: Forgotten Books, 2018
ISBN 10: 1330168453 ISBN 13: 9781330168455
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Paperback. Condizione: New. Print on Demand. This book delves into a highly specialized numerical approach to the Boltzmann equationâ"a complex equation that describes the behavior of gas particles in a particular environment. Developed in the context of gas dynamics, it is a highly mathematical text that applies a specific iterative method to solve the Boltzmann equation, known as the full non-linear Boltzmann equation. This numerical method is applied to the study of a shock wave in a gas composed of elastic spheres. The method used is rooted in Gaussian quadrature and Hermite interpolation, which are extensively discussed. The author presents the method as a step-by-step computational procedure. After introducing the fundamental problem, the author discusses the details of the numerical approach using concrete examples, before generalizing the method to problems in multiple dimensions with other types of interparticle forces. The work provides a solid entry point for researchers interested in Boltzmann's equation, with important implications in fluid mechanics, plasma physics, chemical kinetics, astrophysics, and other disciplines concerned with the behavior of gases. Overall, this book offers valuable insights and techniques for understanding the Boltzmann equation and its applications, making it a significant addition to the body of knowledge for researchers in the field. 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 9781330168455_0

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