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Differential equations, Hyperbolic --- Conservation laws (Mathematics) --- Shock waves. --- Conservation laws (Mathematics). --- Numerical solutions.

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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. "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.

Conservation laws (Mathematics) --- Differential equations, Hyperbolic. --- Conservation laws (Mathematics). --- Differential equations, Hyperbolic --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Applied Mathematics --- Mathematical Theory --- Calculus --- Applied mathematics. --- Engineering mathematics. --- Numerical analysis. --- Mathematical physics. --- Applications of Mathematics. --- Numerical Analysis. --- Theoretical, Mathematical and Computational Physics. --- Mathematical and Computational Engineering. --- Physical mathematics --- Physics --- Mathematical analysis --- Engineering --- Engineering analysis

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Finite volume method. --- Conservation laws (Mathematics). --- -Finite volume method --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Finite volume method --- Volumes finis, Méthodes de --- Conservation laws (Mathematics) --- Differential equations, Hyperbolic --- 514.7 --- 519.6 --- 681.3 *G18 --- Numerical analysis --- 514.7 Differential geometry. Algebraic and analytic methods in geometry --- Differential geometry. Algebraic and analytic methods in geometry --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Numerical solutions --- Numerical solutions. --- Lois de conservation (Mathématiques) --- Differential equations, Hyperbolic - Numerical solutions.

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532 --- Differential equations, Hyperbolic --- Wave-motion, Theory of --- Undulatory theory --- Mechanics --- Hyperbolic differential equations --- Differential equations, Partial --- Fluid mechanics in general. Mechanics of liquids (hydromechanics) --- Wave-motion, Theory of. --- Differential equations, Hyperbolic. --- 532 Fluid mechanics in general. Mechanics of liquids (hydromechanics) --- Equations différentielles hyperboliques --- Théorie du mouvement ondulatoire --- Equations différentielles hyperboliques --- Théorie du mouvement ondulatoire --- Partial differential equations --- Differential equations, Nonlinear --- Équations aux dérivées partielles non linéaires --- Équations différentielles hyperboliques --- Lois de conservation (mathématiques) --- Conservation laws (Mathematics) --- Shock waves. --- Ondes de choc. --- Équations aux dérivées partielles non linéaires --- Équations différentielles hyperboliques --- Lois de conservation (mathématiques)