Aec Computing and Applied Mathematics Center: Aec Research and Development Report (Classic Reprint) - Softcover
Synopsis
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.
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Aec Computing and Applied Mathematics Center (Classic Reprint)
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Paperback. Condition: 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. Seller Inventory # 9781332199457_0
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Aec Computing and Applied Mathematics Center Aec Research and Development Report Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332199457
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332199457
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Aec Computing and Applied Mathematics Center : Aec Research and Development Report (Classic Reprint)
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Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 26075360/2