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Stability Studies for Difference Equations: I Non-Linear Stability; II Coupled Sound and Heat Flow (Classic Reprint) - Softcover
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Excerpt from Stability Studies for Difference Equations: I Non-Linear Stability; II Coupled Sound and Heat Flow
In part II, the difference equations for coupled sound and heat flow, in which the latter is treated implicitly, are considered. The stability condition is known to be c at/ax l, where c is the isothermal sound speed. This seems somewhat paradoxical, for if the thermal conductivity is small, signals travel at practically the adiabatic sound speed, V7 0, which is larger than c. For such problems, stability, as usually defined, is inadequate for an actual calculation, since it considers only the limit At, Ax O. A practical stability criterion for such problems is proposed and is applied to the problem at hand, with complete success, as judged by numerical tests, which are also described; the criterion leads, in this problem, to a stability condition intermediate between c at/ax 1 and 'v7 c at/ax 1, depending on various parameters, includ ing At (or Ax) itself. The condition is shown to be necessary (by the Fourier analysis) and sufficient (by the energy method).
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- PublisherForgotten Books
- Publication date2024
- ISBN 10 1333526881
- ISBN 13 9781333526887
- BindingPaperback
- LanguageEnglish
- Number of pages63
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Stability Studies for Difference Equations: I Non-Linear Stability
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Paperback. Condition: New. Print on Demand. This book investigates numerical techniques, known as difference schemes, applied to solving partial differential equations in mathematical physics. The author explores the stability of various difference schemes, comparing their strengths and weaknesses when applied to specific problems. The stability of these schemes is crucial for accurate and reliable numerical solutions. This book delves into the intricacies of these schemes, providing valuable insights for researchers and practitioners working in numerical analysis and computational science. 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 # 9781333526887_0
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Stability Studies for Difference Equations I NonLinear Stability II Coupled Sound and Heat Flow Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333526887
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