大葉大學圖書館 |

Front tracking for hyperbolic conservation laws[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.3535
書名/作者:	Front tracking for hyperbolic conservation laws/ by Helge Holden, Nils Henrik Risebro.
作者:	Holden, Helge.
其他作者:	Risebro, Nils Henrik.
出版者:	Berlin, Heidelberg : : Springer Berlin Heidelberg :, 2015.
面頁冊數:	xiv, 517 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Conservation laws (Mathematics)
標題:	Differential equations, Hyperbolic.
標題:	Mathematics.
標題:	Applications of Mathematics.
標題:	Numerical Analysis.
標題:	Theoretical, Mathematical and Computational Physics.
標題:	Appl.Mathematics/Computational Methods of Engineering.
ISBN:	9783662475072
ISBN:	9783662475065
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-662-47507-2

Front tracking for hyperbolic conservation laws[electronic resource] /
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

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

490314
Conservation laws (Mathematics)

LC Class. No.: QA377

Dewey Class. No.: 515.3535

Front tracking for hyperbolic conservation laws[electronic resource] /
LDR:02847nam a2200337 a 4500 001 444678
003 DE-He213
005 20160513092632.0
006 m d
007 cr nn 008maaau
008 160715s2015 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 467601
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 490314
650 0 $a Differential equations, Hyperbolic. $3 467514
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Applications of Mathematics. $3 463820
650 2 4 $a Numerical Analysis. $3 465756
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 464132
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 463859
700 1 $a Risebro, Nils Henrik. $3 636404
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Applied mathematical sciences ; $v v.176. $3 464128
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-47507-2
950 $a Mathematics and Statistics (Springer-11649)