Front Tracking for Hyperbolic Conservation Laws

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Systems of conservation laws in one dimension are treated in detail, starting with the solution of the Riemann problem. Solutions of the Cauchy problem are proved to exist in a constructive manner using front tracking, amenable to numerical computations. The book includes a detailed discussion of the very recent proof of wellposedness of the Cauchy problem for one-dimensional hyperbolic conservation laws. The book includes a chapter on traditional finite difference methods for hyperbolic conservation laws with error estimates and a section on measure valued solutions.

Extensive examples are given, and many exercises are included with hints and answers. Additional background material not easily available elsewhere is given in appendices. Scalar Conservation Laws. The Shock Curves.

Bibliographic Information

Existence of Solutions of the Cauchy Problem for Systems. A Short Course in Difference Methods. From the reviews of the first edition:"It is already one of the few best digests on this topic.

Front Tracking for Hyperbolic Conservation Laws

The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style. 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.

Noelle, Book review, German Math. Laforest, Comp.

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Read more Read less. Amazon Global Store US International products have separate terms, are sold from abroad and may differ from local products, including fit, age ratings, and language of product, labeling or instructions. Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. The present book is an excellent compromise between theory and practice.

Students will appreciate the lively and accurate style. Serre, MathSciNet.

Multilevel Monte Carlo front-tracking for random scalar conservation laws - Semantic Scholar

It can also be used for reliable and very exciting basis for a one-semester graduate course. Noelle, Book review, German Math.

Laforest, Comp. Introduction to Linear Algebra and Differential Equations.

Front Tracking for Hyperbolic Conservation Laws

John W. Linear Algebra. Georgi E. Elementary Mathematics from an Advanced Standpoint. Felix Klein. The Direction of Time. Hans Reichenbach. Differential Equations.

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