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Numerical Methods for Conservation Laws by Randall J Leveque: New
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Item specifics
- Condition
- Book Title
- Numerical Methods for Conservation Laws
- Publication Date
- 1992-02-13
- Edition Number
- 2
- Pages
- 220
- ISBN
- 9783764327231
About this product
Product Identifiers
Publisher
Springer Basel A&G
ISBN-10
3764327235
ISBN-13
9783764327231
eBay Product ID (ePID)
4468534
Product Key Features
Number of Pages
Xii, 220 Pages
Publication Name
Numerical Methods for Conservation Laws
Language
English
Publication Year
1992
Subject
Numerical Analysis, Physics / General, Mathematical Analysis
Features
Revised
Type
Textbook
Subject Area
Mathematics, Science
Series
Lectures in Mathematics. Eth Zürich Ser.
Format
Perfect
Dimensions
Item Height
0.2 in
Item Weight
29.3 Oz
Item Length
9.6 in
Item Width
6.7 in
Additional Product Features
Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
92-003400
Reviews
From the reviews: "The computing community needs a good text on modern methods for conservation laws, and these notes provide an excellent start on that text. Equally important, LeVeque's perspective and writing style make for wonderful reading and learning. (How often do we find important content and good writing in one book?)" E.B. Pitman, State University of New York at Buffalo, in: Siam Revue, "The computing community needs a good text on modern methods for conservation laws, and these notes provide an excellent start on that text. Equally important, LeVeque's perspective and writing style make for wonderful reading and learning. (How often do we find important content and good writing in one book?)" --SIAM Review "The book by Randall LeVeque is among the first that makes the material in this area accessible to first and second year graduate students in the mathematical sciences. It should be an excellent introduction to this topic for any researcher in the mathematical sciences...This book is based on [the] lecture notes of the author and should serve well as a text for a graduate course...There are many interesting exercises that serve to illuminate and expand on the text, and there are also many well-drawn figures." --Bulletin of the AMS, "The computing community needs a good text on modern methods for conservation laws, and these notes provide an excellent start on that text. Equally important, LeVeque's perspective and writing style make for wonderful reading and learning. (How often do we find important content and good writing in one book?)" -SIAM Review"The book by Randall LeVeque is among the first that makes the material in this area accessible to first and second year graduate students in the mathematical sciences. It should be an excellent introduction to this topic for any researcher in the mathematical sciences…This book is based on [the] lecture notes of the author and should serve well as a text for a graduate course…There are many interesting exercises that serve to illuminate and expand on the text, and there are also many well-drawn figures." -Bulletin of the AMS, "The computing community needs a good text on modern methods for conservation laws, and these notes provide an excellent start on that text. Equally important, LeVeque's perspective and writing style make for wonderful reading and learning. (How often do we find important content and good writing in one book?)" --SIAM Review "The book by Randall LeVeque is among the first that makes the material in this area accessible to first and second year graduate students in the mathematical sciences. It should be an excellent introduction to this topic for any researcher in the mathematical sciences...This book is based on [the] lecture notes of the author and should serve well as a text for a graduate course...There are many interesting exercises that serve to illuminate and expand on the text, and there are also many well-drawn figures." --Bulletin of the AMS
Number of Volumes
1 vol.
Illustrated
Yes
Edition Description
Revised edition
Table Of Content
I Mathematical Theory.- 1 Introduction.- 2 The Derivation of Conservation Laws.- 3 Scalar Conservation Laws.- 4 Some Scalar Examples.- 5 Some Nonlinear Systems.- 6 Linear Hyperbolic Systems 58.- 7 Shocks and the Hugoniot Locus.- 8 Rarefaction Waves and Integral Curves.- 9 The Riemann problem for the Euler equations.- II Numerical Methods.- 10 Numerical Methods for Linear Equations.- 11 Computing Discontinuous Solutions.- 12 Conservative Methods for Nonlinear Problems.- 13 Godunov's Method.- 14 Approximate Riemann Solvers.- 15 Nonlinear Stability.- 16 High Resolution Methods.- 17 Semi-discrete Methods.- 18 Multidimensional Problems.
Synopsis
These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. Without the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are. not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy., These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de- veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un- derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present- ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. Without the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are. not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy., These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave structure of solutions to the Riemann problem. The emphasis is on tools and techniques that are indispensable in developing good numerical methods for discontinuous solutions. Part II is devoted to the development of high resolution shock-capturing methods, including the theory of total variation diminishing (TVD) methods and the use of limiter functions. The book is intended for a wide audience, and will be of use both to numerical analysts and to computational researchers in a variety of applications.
LC Classification Number
QA71-90
Item description from the seller
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- a***a (346)- Feedback left by buyer.Past 6 monthsVerified purchaseThis hardback book is of the highest quality, has a fine appearance , arrived in perfect condition, and is an excellent value. On what I was not asked about this time, communicating with the seller would have required using email outside of the eBay system, because they do not accept eBay messages, the book was well packed in a purpose-designed cardboard box, the shipping was faster than I expected for the bound media rate, and the book was exactly as described and pictured.Tameshigiri - The History and Development of Japanese Sword Testing by Sesko (#282906424466)
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Seller feedback (501,605)
- a***e- Feedback left by buyer.Past monthVerified purchaseProfessional Seller; Wide Inventory Selection; Competitive Prices; Great Communication; FAST Ship; Item Safely & Well-Packaged; Item Accurately Described in Listing; Item of High Quality and in Mint Condition; Appearance of Item is Great! Highly Recommended; Hope to Do Business with Again! Thank You Very Much!
- m***u (849)- Feedback left by buyer.Past monthVerified purchaseAbsolutely delightful seller! As pictured and described, fast shipping, and great communication! Excellent packaging and a phenomenal value! This seller is an extremely valuable asset to the eBay community! A++++! ✨🥇✨
- a***a (346)- Feedback left by buyer.Past 6 monthsVerified purchaseThis hardback book is of the highest quality, has a fine appearance , arrived in perfect condition, and is an excellent value. On what I was not asked about this time, communicating with the seller would have required using email outside of the eBay system, because they do not accept eBay messages, the book was well packed in a purpose-designed cardboard box, the shipping was faster than I expected for the bound media rate, and the book was exactly as described and pictured.Tameshigiri - The History and Development of Japanese Sword Testing by Sesko (#282906424466)