The Resource Front Tracking for Hyperbolic Conservation Laws, by Helge Holden, Nils Henrik Risebro, (electronic resource)

Front Tracking for Hyperbolic Conservation Laws, by Helge Holden, Nils Henrik Risebro, (electronic resource)

Label
Front Tracking for Hyperbolic Conservation Laws
Title
Front Tracking for Hyperbolic Conservation Laws
Statement of responsibility
by Helge Holden, Nils Henrik Risebro
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Holden, Helge
Image bit depth
0
LC call number
T57-57.97
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Risebro, Nils Henrik.
  • SpringerLink
Series statement
Applied Mathematical Sciences,
Series volume
152
http://library.link/vocab/subjectName
  • Mathematics
  • Applied mathematics
  • Engineering mathematics
  • Numerical analysis
  • Physics
  • Mathematics
  • Applications of Mathematics
  • Numerical Analysis
  • Theoretical, Mathematical and Computational Physics
  • Appl.Mathematics/Computational Methods of Engineering
Label
Front Tracking for Hyperbolic Conservation Laws, by Helge Holden, Nils Henrik Risebro, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Edition
2nd ed. 2015.
Extent
XIV, 517 p. 1240 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783662475072
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-662-47507-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-662-47507-2
Label
Front Tracking for Hyperbolic Conservation Laws, by Helge Holden, Nils Henrik Risebro, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Edition
2nd ed. 2015.
Extent
XIV, 517 p. 1240 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783662475072
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-662-47507-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-662-47507-2

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