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Sinopsis
Excerpt from Aec Computing and Applied Mathematics Center: Aec Research and Development Report
This report is based on a lecture given at the Courant Institute of Mathematical Sciences in July 1964, in a special series of lectures arranged by P. D. Lax on the numerical treatment of boundary conditions in finite difference cal culations. The stability criterion introduced by Godunov and Ryabenkii as a guide to the effect of boundary calculations on stability is described here together with an application made by D. A. Quarles, Jr. To shock fitting in fluid dynamics. The criterion is in the spirit of the von Neumann condition in that it is concerned with local normal modes of the linearized difference equations; it is formalized in terms of the concept, defined by Godunov and Ryabenkii, of the spectrum of an infinite family of linear operators, and the main theorem of the theory, reproduced in a simplified form here, Shows how to test this criterion, in the case of one space variable, by the study of the local normal modes near the boundary, as well as in the.
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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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Excerpt from Aec Computing and Applied Mathematics Center: Aec Research and Development Report
This report is based on a lecture given at the Courant Institute of Mathematical Sciences in July 1964, in a special series of lectures arranged by P. D. Lax on the numerical treatment of boundary conditions in finite difference cal culations. The stability criterion introduced by Godunov and Ryabenkii as a guide to the effect of boundary calculations on stability is described here together with an application made by D. A. Quarles, Jr. To shock fitting in fluid dynamics. The criterion is in the spirit of the von Neumann condition in that it is concerned with local normal modes of the linearized difference equations; it is formalized in terms of the concept, defined by Godunov and Ryabenkii, of the spectrum of an infinite family of linear operators, and the main theorem of the theory, reproduced in a simplified form here, Shows how to test this criterion, in the case of one space variable, by the study of the local normal modes near the boundary, as well as in the.
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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Excerpt from Aec Computing and Applied Mathematics Center: Aec Research and Development Report
This report was prepared as an account of Government sponsored work. Neither the United States, nor the Commission, nor any person acting on behalf of the Commission:
A. Makes any warranty or representation, express or implied, with respect to the accuracy, completeness, or usefulness of the information contained in this report, or that the use of any information, apparatus, method, or process disclosed in this report may not infringe privately owned rights; or
B. Assumes any liabilities with respect to the use of, or for damages resulting from the use of any information, apparatus, method, or process disclosed in this report.
As used in the above, "person acting on behalf of the Commission" includes any employee or contractor of the Commission, or employee of such contractor, to the extent that such employee or contractor of the Commission, or employee of such contractor prepares, disseminates, or provides access to, any information pursuant to his employment or contract with the Commission, or his employment with such contractor.
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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Aec Computing and Applied Mathematics Center Aec Research and Development Report Classic Reprint
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332199457
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Aec Computing and Applied Mathematics Center Aec Research and Development Report Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332199457
Cantidad disponible: 15 disponibles
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Aec Computing and Applied Mathematics Center (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: New. Print on Demand. This book addresses the stability of numerical difference schemes, particularly when auxiliary techniques like shock fitting are used. Traditional methods like the von Neumann condition, though helpful for interior calculations, struggle to predict stability when boundary conditions apply. The author introduces a revised criterion by Godunov and Ryabenkii to bridge this gap. By examining local normal modes near boundaries and interiors, this criterion provides a more comprehensive stability analysis. Furthermore, it is formalized in terms of the "spectrum of an infinite family of linear operators," a concept introduced by the authors to describe the full range of amplification factors possible in a given scheme. The book explores the theoretical underpinnings of this notion and demonstrates its application to practical fluid dynamics problems involving shock waves. Overall, this book offers valuable insights into the stability of numerical difference schemes, providing a deeper understanding of their behavior and enabling the development of more robust and reliable numerical methods. 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. Nº de ref. del artículo: 9781332199457_0
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Aec Computing and Applied Mathematics Center : Aec Research and Development Report (Classic Reprint)
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Forgotten Books, 2018
ISBN 10: 1332199453
ISBN 13: 9781332199457
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Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 26075360/2
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