國立高雄大學圖資館 |

Language: English

Back

Front tracking for hyperbolic conser...

Holden, Helge.

Front tracking for hyperbolic conservation laws

Record Type:	Electronic resources : Monograph/item
Title/Author:	Front tracking for hyperbolic conservation lawsby Helge Holden, Nils Henrik Risebro.
Author:	Holden, Helge.
other author:	Risebro, Nils Henrik.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg :2015.
Description:	xiv, 517 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Conservation laws (Mathematics)
Online resource:	http://dx.doi.org/10.1007/978-3-662-47507-2
ISBN:	9783662475072$q(electronic bk.)

Front tracking for hyperbolic conservation laws
Holden, Helge.

Front tracking for hyperbolic conservation laws[electronic resource] /by Helge Holden, Nils Henrik Risebro. - 2nd ed. - Berlin, Heidelberg :Springer Berlin Heidelberg :2015. - xiv, 517 p. :ill., digital ;24 cm. - Applied mathematical sciences,1520066-5452 ;. - Applied mathematical sciences ;v.176..

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 -- Conservation Laws with Discontinuous Flux Functions -- Total Variation, Compactness etc -- The Method of Vanishing Viscosity -- Answers and Hints -- Index.

This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions, and the detailed solution of the Riemann problem for the Euler equations. 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 of the first edition: "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.

ISBN: 9783662475072$q(electronic bk.)

Standard No.: 10.1007/978-3-662-47507-2doiSubjects--Topical Terms:

243462
Conservation laws (Mathematics)

LC Class. No.: QA377

Dewey Class. No.: 515.3535

Front tracking for hyperbolic conservation laws
LDR:02847nmm a2200337 a 4500 001 477735
003 DE-He213
005 20160513092632.0
006 m d
007 cr nn 008maaau
008 160614s2015 gw s 0 eng d
020 $a 9783662475072$q(electronic bk.)
020 $a 9783662475065$q(paper)
024 7 $a 10.1007/978-3-662-47507-2 $2 doi
035 $a 978-3-662-47507-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
072 7 $a PBW $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 515.3535 $2 23
090 $a QA377 $b .H726 2015
100 1 $a Holden, Helge. $3 323070
245 1 0 $a Front tracking for hyperbolic conservation laws $h [electronic resource] / $c by Helge Holden, Nils Henrik Risebro.
250 $a 2nd ed.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2015.
300 $a xiv, 517 p. : $b ill., digital ; $c 24 cm.
490 1 $a Applied mathematical sciences, $x 0066-5452 ; $v 152
505 0 $a 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 -- Conservation Laws with Discontinuous Flux Functions -- Total Variation, Compactness etc -- The Method of Vanishing Viscosity -- Answers and Hints -- Index.
520 $a This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions, and the detailed solution of the Riemann problem for the Euler equations. 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 of the first edition: "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.
650 0 $a Conservation laws (Mathematics) $3 243462
650 0 $a Differential equations, Hyperbolic. $3 199039
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Applications of Mathematics. $3 273744
650 2 4 $a Numerical Analysis. $3 275681
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 376743
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 273758
700 1 $a Risebro, Nils Henrik. $3 535834
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Applied mathematical sciences ; $v v.176. $3 557779
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-47507-2
950 $a Mathematics and Statistics (Springer-11649)