The Resource Front tracking for hyperbolic conservation laws, Helge Holden, Nils Henrik Risebro

Front tracking for hyperbolic conservation laws, Helge Holden, Nils Henrik Risebro

Label
Front tracking for hyperbolic conservation laws
Title
Front tracking for hyperbolic conservation laws
Statement of responsibility
Helge Holden, Nils Henrik Risebro
Creator
Contributor
Author
Subject
Genre
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
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1956-
http://library.link/vocab/creatorName
Holden, H.
Dewey number
515/.3535
Illustrations
illustrations
Index
index present
LC call number
QA377
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Risebro, Nils Henrik
Series statement
Applied mathematical sciences
Series volume
152
http://library.link/vocab/subjectName
  • Conservation laws (Mathematics)
  • Differential equations, Hyperbolic
  • Conservation laws (Mathematics)
  • Differential equations, Hyperbolic
  • Mathematics
  • Science
  • Mathematics
  • Numerical analysis
  • Mathematical physics
  • Maths for engineers
  • Applied mathematics
Label
Front tracking for hyperbolic conservation laws, Helge Holden, Nils Henrik Risebro
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-662-47507-2
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
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 edition.
Extent
1 online resource (xiv, 363 pages)
File format
unknown
Form of item
online
Isbn
9783662475065
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-662-47507-2
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)932129326
  • (OCoLC)ocn932129326
Label
Front tracking for hyperbolic conservation laws, Helge Holden, Nils Henrik Risebro
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-662-47507-2
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
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 edition.
Extent
1 online resource (xiv, 363 pages)
File format
unknown
Form of item
online
Isbn
9783662475065
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-662-47507-2
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)932129326
  • (OCoLC)ocn932129326

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