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On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes (Classic Reprint) - Brossura
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High-resolution TVD finite-difference schemes for nonlinear conservation laws. Learn how to build numerical methods that are stable, accurate, and capable of handling shocks and discontinuities in hyperbolic systems.
This book presents a clear path from the theory of conservation laws to practical schemes. It explains how total-variation stability, entropy considerations, and convergence ideas come together to produce robust numerical methods. The discussion covers first-order TVD schemes, then advances to second-order accuracy, and extends the ideas to systems of equations and steady-state calculations. The methods balance dissipation and accuracy, aiming to capture essential features of the solution without spurious oscillations.
- Grounding in the convergence framework for finite-difference approximations of conservation laws
- Design principles that couple consistency with the conservation law and its entropy inequality to ensure convergence
- Techniques to achieve second-order accuracy while preserving TVD properties
- Extensions to systems of equations and practical considerations for steady-state computations
Ideal for researchers, graduate students, and practitioners who work on numerical methods for partial differential equations and computational fluid dynamics.
Ideal for readers of advanced numerical analysis and computational physics texts seeking rigorous, applicable guidance on high-resolution schemes.
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On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
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Paperback. Condizione: New. Print on Demand. This book introduces readers to a novel class of high-resolution numerical schemes for solving hyperbolic conservation laws. It offers a rigorous analysis and lays out the precise conditions required for these schemes to be total variation diminishing. The significance of these new schemes lies in their ability to preserve the physical properties of the underlying conservation laws, leading to robust and accurate solutions for complex scenarios that involve shock waves and discontinuities. The approach presented in this book will be valuable to researchers and practitioners in computational fluid dynamics, offering them a framework to design new schemes and analyze their performance. 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. Codice articolo 9781332172436_0
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On a Class of High Resolution TotalVariationStable FiniteDifference Schemes Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332172436
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On a Class of High Resolution TotalVariationStable FiniteDifference Schemes Classic Reprint
Da: PBShop.store UK, Fairford, GLOS, Regno Unito
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332172436
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