Aec Computing and Applied Mathematics Center (Classic Reprint)

Language: English

Published by Forgotten Books, 2024

1332199453 / 9781332199457

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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.

Seller Inventory # 9781332199457_0

Title
Aec Computing and Applied Mathematics Center (Classic Reprint)
Author
Robert D. Richtmyer
Publisher
Forgotten Books
Publication year
2024
Condition
New
Book Type
print-on-demand item
Binding
Paperback
Language
English
ISBN 10
1332199453
ISBN 13
9781332199457
Seller catalogs
Calculus

Forgotten Books

London, United Kingdom

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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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