| Numerical Solution of Hyperbolic Partial Differential Equations [With CDROM] Contributor(s): Trangenstein, John A. (Author) |
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ISBN: 052187727X ISBN-13: 9780521877275 Publisher: Cambridge University Press OUR PRICE: $112.10 Product Type: Hardcover Published: October 2009 * Not available - Not in print at this time *Annotation: Numerical Solution of Hyperbolic Partial Differential Equations is a new type of graduate textbook, with both print and interactive electronic components (on CD). It is a comprehensive presentation of modern shock-capturing methods, including both finite volume and finite element methods, covering the theory of hyperbolic conservation laws and the theory of the numerical methods. The range of applications is broad enough to engage most engineering disciplines and many areas of applied mathematics. Classical techniques for judging the qualitative performance of the schemes are used to motivate the development of classical higher-order methods. The interactive CD gives access to the computer code used to create all of the text's figures, and lets readers run simulations, choosing their own input parameters; the CD displays the results of the experiments as movies. Consequently, students can gain an appreciation for both the dynamics of the problem application, and the growth of numerical errors. |
| Additional Information |
| BISAC Categories: - Mathematics |
| Dewey: 518.64 |
| Physical Information: 1.31" H x 7.58" W x 9.75" (3.3 lbs) 620 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which can be found on the accompanying CD-ROM). |
Contributor Bio(s): Trangenstein, John A.: - John A. Trangenstein is Professor of Mathematics at Duke University, North Carolina |