On the Accuracy of Stable Schemes for 2d Scalar Conservation Laws
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.09
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book focuses on scalar conservation laws in two space dimensions. It investigates the accuracy of numerical schemes used to solve these laws, which describe phenomena such as fluid flow and shock waves. The author proves that any conservative scheme designed to diminish total variation in the solution can only achieve first-order accuracy. This has significant implications for the design of stable numerical schemes for these physical systems. 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.
Seller Inventory # 9781334538513_0
- Title
- On the Accuracy of Stable Schemes for 2d Scalar Conservation Laws
- Author
- Jonathan B. Goodman, Randall J. Leveque
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1334538514
- ISBN 13
- 9781334538513
- Seller catalogs
- Statistics
In two space dimensions. In one dimension Harten [3 has given conditions which guarantee that a scheme is strongly nonlinearly stable in the sense that the total variation of the numerical solution does not increase in time. He has also shown how to construct schemes which have this property and are second order accurate on smooth solutions.
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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Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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