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Front tracking for hyperbolic conservation laws

Author: H Holden; Nils Henrik Risebro
Publisher: Berlin : Springer, [2015] ©2015
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 152.
Edition/Format:   Print book : English : 2nd editionView all editions and formats
Database:WorldCat
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Additional Physical Format: Online version:
Holden, Helge.
Front tracking for hyperbolic conservation laws
(OCoLC)932129326
(GyWOH)har165000831
Document Type: Book
All Authors / Contributors: H Holden; Nils Henrik Risebro
ISBN: 9783662475065 3662475065
OCLC Number: 935108399
Description: xiv, 515 pages : illustrations ; 27 cm.
Contents: Introduction --
Linear equations --
Notes --
Exercises --
Scalar conservation laws --
Entropy conditions --
The riemann problem --
Front tracking --
Existence and uniqueness --
Notes --
Exercises --
A short course in difference methods --
Conservative methods --
Higher-order schemes --
Error estimates --
A priori error estimates --
Measure-valued solutions --
Notes --
Exercises --
Multidimensional scalar conservation laws --
Dimensional splitting methods --
Dimensional splitting and front tracking --
Convergence rates --
Operator splitting : diffusion --
Operator splitting : source --
Notes --
Exercises --
The riemann problem for systems --
Hyperbolicity and some examples --
Rarefaction waves --
The hugoniot locus : the shock curves --
The ethe euler equations --
Notes --
Exercises --
Existence of solutions of the cauchy problem --
Front tracking for systems --
Convergence --
Notes --
Exercises --
Well-posedness of the cauchy problem --
Stability --
Uniqueness --
Notes --
Exercises --
Conservation laws with discontinuous flux functions --
The riemann problem --
The cauchy problem --
Uniqueness of entropy solutions --
Notes --
Exercises --
Total variation, compactness, etc --
Notes --
Exercises --
The method of vanishing viscosity --
Notes --
Exercises --
Answers and hints --
Bibliography --
Index.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 152.
Responsibility: Helge Holden, Nils Henrik Risebro.

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"This is the 2nd edition of the famous book ... devoted to the modern theory of hyperbolic conservation laws. ... The book is well written, well illustrated (it contains even cartoons) and may be Read more...

 
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