Front tracking for hyperbolic conservation laws
著者
書誌事項
Front tracking for hyperbolic conservation laws
（Applied mathematical sciences, 152）
Springer, 2011 printing, c2002
- : pbk
大学図書館所蔵 全4件
注記
"First softcover printing 2011"--T.p. verso
Includes bibiliographical references (p. 349-357) and index
内容説明・目次
内容説明
Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. From the reviews: "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.
目次
Preface.- Introduction.- Scalar Conservation Laws.- A Short Course in Difference Methods.- Multidimensional Scalar Conservation Laws.- The Riemann Problem for Systems.- Existence of Solutions of the Cauchy Problem.- Well-Posedness of the Cauchy Problem.- Total Variations, Compactness etc..- The Method of Vanishing Viscosity.- Answers and Hints.- References.- Index.
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