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On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes (Classic Reprint) - Softcover
Synopsis
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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Product Description
Excerpt from On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes was written by Amiram Harten in 1982. This is a 62 page book, containing 9911 words and 2 pictures. Search Inside is enabled for this title. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: 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. Seller Inventory # 9781332172436_0
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On a Class of High Resolution TotalVariationStable FiniteDifference Schemes Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332172436
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On a Class of High Resolution TotalVariationStable FiniteDifference Schemes Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332172436
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