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Numerical Methods for Conservation Laws by Randall J Leveque: New
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Numero oggetto eBay:284324254481
Specifiche dell'oggetto
- Condizione
- Book Title
- Numerical Methods for Conservation Laws
- Publication Date
- 1992-02-13
- Edition Number
- 2
- Pages
- 220
- ISBN
- 9783764327231
Informazioni su questo prodotto
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
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- e***n (390)- Feedback lasciato dall'acquirente.Mese scorsoAcquisto verificatoGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, Joe
- m***m (2331)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!Tobin's Spirit Guide: Official Ghostbusters Edition by Erik Burnham: Used (N° 404302598631)
- _***b (56)- Feedback lasciato dall'acquirente.Mese scorsoAcquisto verificatoI gave 5 stars on shipping because i sent 2 separate emails + they responded with helpful info, even though it arrived late. This was a great value with free shipping + the condition is very good, better than advertised 🙂! The overall quality and appearance is excellent! I highly recommend this seller and give them 👍👍👍👍