Synopsis
Explore how to design high‑order difference schemes for hyperbolic equations
Discover a clear path to building numerically stable methods that are uniformly accurate in space and time. This book presents a third‑order approach in both directions, rooted in flux-conserving forms and practical computations.
The work surveys classic ideas and modern refinements for solving conservation laws. It explains how Runge–Kutta–type steps can achieve high accuracy with repeated evaluations of the flux function, while also offering alternative schemes that minimize computations. You’ll see how Strang’s ideas and Richtmyer’s two‑step framework contribute to efficient, stable methods. The text discusses the tradeoffs of third‑order accuracy, including when nonpositive weights enter the scheme and how stability is analyzed.- Learn how to construct, analyze, and implement third‑order difference operators for hyperbolic PDEs
- Understand the role of conservation form and flux evaluation in achieving accuracy
- Compare different strategies (two‑step methods, Strang splitting, and multi‑step Runge–Kutta approaches)
- Explore stability considerations and practical guidance for choosing time steps
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Third Order Difference Methods for Hyperbolic Equations (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book presents a bespoke set of uniformly third order accurate difference schemes for solving hyperbolic equations in one and two space dimensions. The methods are applicable to nonlinear initial value problems and differ from existing methods in that they have been constructed in divergent form using a similar approach to the original differential equations. This approach avoids many complex calculations and disadvantages that would present themselves in other methods and provides a highly efficient means of computation. The book furthermore analyzes the stability of these new difference schemes, with results that show potential for both computational efficiency and high accuracy that could prove useful for solving problems in gas dynamics and other fields. 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 # 9781332894543_0
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Third Order Difference Methods for Hyperbolic Equations Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332894543
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Third Order Difference Methods for Hyperbolic Equations Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332894543
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3RD ORDER DIFFERENCE METHODS F
Seller: moluna, Greven, Germany
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Condition: New. KlappentextrnrnExcerpt from Third Order Difference Methods for Hyperbolic EquationsIn recent years there has appeared in the literature a surge in the number of papers dealing with numerical solutions of partial differential equations. A. Seller Inventory # 2148001007
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