Front Tracking for Hyperbolic Conservation Laws [recurso electrónico] / by Helge Holden, Nils H. Risebro.
Tipo de material: TextoSeries Applied Mathematical Sciences ; 152Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: XII, 361 p. 40 illus. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642239113Tema(s): Mathematics | Numerical analysis | Engineering mathematics | Mathematics | Applications of Mathematics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of EngineeringFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 519 Clasificación LoC:T57-57.97Recursos en línea: Libro electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
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Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | T57 -57.97 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 376715-2001 |
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. .
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.
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