skip to content
Numerical Methods for Conservation Laws Preview this item
ClosePreview this item
Checking...

Numerical Methods for Conservation Laws

Author: Randall J LeVeque
Publisher: Basel Birkhäuser Basel Imprint : Birkhäuser, 1992.
Series: Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics.
Edition/Format:   eBook : Document : English : Second editionView all editions and formats
Summary:
These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de­ veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Randall J LeVeque
ISBN: 3034886292 9783034886291
OCLC Number: 1058344053
Language Note: English.
Description: 1 online resource (XII, 220 pages 4 illustrations).
Contents: I Mathematical Theory --
1 Introduction --
2 The Derivation of Conservation Laws --
3 Scalar Conservation Laws --
4 Some Scalar Examples --
5 Some Nonlinear Systems --
6 Linear Hyperbolic Systems 58 --
7 Shocks and the Hugoniot Locus --
8 Rarefaction Waves and Integral Curves --
9 The Riemann problem for the Euler equations --
II Numerical Methods --
10 Numerical Methods for Linear Equations --
11 Computing Discontinuous Solutions --
12 Conservative Methods for Nonlinear Problems --
13 Godunov's Method --
14 Approximate Riemann Solvers --
15 Nonlinear Stability --
16 High Resolution Methods --
17 Semi-discrete Methods --
18 Multidimensional Problems.
Series Title: Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics.
Responsibility: by Randall J. LeVeque.

Abstract:

These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de­ veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un­ derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present­ ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. Without the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are. not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/1058344053> # Numerical Methods for Conservation Laws
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
    library:oclcnum "1058344053" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/908096#Topic/conservation_laws_mathematics> ; # Conservation laws (Mathematics)
    schema:about <http://experiment.worldcat.org/entity/work/data/908096#Topic/mathematical_analysis> ; # Mathematical analysis
    schema:about <http://experiment.worldcat.org/entity/work/data/908096#Topic/differential_equations_hyperbolic_numerical_solutions> ; # Differential equations, Hyperbolic--Numerical solutions
    schema:about <http://dewey.info/class/515.353/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/908096#Topic/computer_science_mathematics> ; # Computer science--Mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/908096#Topic/shock_waves> ; # Shock waves
    schema:about <http://experiment.worldcat.org/entity/work/data/908096#Topic/analysis_mathematics> ; # Analysis (Mathematics)
    schema:about <http://experiment.worldcat.org/entity/work/data/908096#Topic/mathematics> ; # Mathematics
    schema:author <http://experiment.worldcat.org/entity/work/data/908096#Person/leveque_randall_j> ; # Randall J. LeVeque
    schema:bookEdition "Second edition." ;
    schema:bookFormat schema:EBook ;
    schema:datePublished "1992" ;
    schema:description "These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de­ veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un­ derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present­ ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. Without the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are. not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy."@en ;
    schema:description "I Mathematical Theory -- 1 Introduction -- 2 The Derivation of Conservation Laws -- 3 Scalar Conservation Laws -- 4 Some Scalar Examples -- 5 Some Nonlinear Systems -- 6 Linear Hyperbolic Systems 58 -- 7 Shocks and the Hugoniot Locus -- 8 Rarefaction Waves and Integral Curves -- 9 The Riemann problem for the Euler equations -- II Numerical Methods -- 10 Numerical Methods for Linear Equations -- 11 Computing Discontinuous Solutions -- 12 Conservative Methods for Nonlinear Problems -- 13 Godunov's Method -- 14 Approximate Riemann Solvers -- 15 Nonlinear Stability -- 16 High Resolution Methods -- 17 Semi-discrete Methods -- 18 Multidimensional Problems."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/908096> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/908096#Series/lectures_in_mathematics_eth_zurich_department_of_mathematics_research_institute_of_mathematics> ; # Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics.
    schema:isSimilarTo <http://worldcat.org/entity/work/data/908096#CreativeWork/> ;
    schema:name "Numerical Methods for Conservation Laws"@en ;
    schema:productID "1058344053" ;
    schema:url <https://doi.org/10.1007/978-3-0348-8629-1> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-0348-8629-1> ;
    schema:workExample <http://worldcat.org/isbn/9783034886291> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1058344053> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/908096#Person/leveque_randall_j> # Randall J. LeVeque
    a schema:Person ;
    schema:familyName "LeVeque" ;
    schema:givenName "Randall J." ;
    schema:name "Randall J. LeVeque" ;
    .

<http://experiment.worldcat.org/entity/work/data/908096#Series/lectures_in_mathematics_eth_zurich_department_of_mathematics_research_institute_of_mathematics> # Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/1058344053> ; # Numerical Methods for Conservation Laws
    schema:name "Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics." ;
    schema:name "Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics" ;
    .

<http://experiment.worldcat.org/entity/work/data/908096#Topic/analysis_mathematics> # Analysis (Mathematics)
    a schema:Intangible ;
    schema:name "Analysis (Mathematics)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/908096#Topic/computer_science_mathematics> # Computer science--Mathematics
    a schema:Intangible ;
    schema:name "Computer science--Mathematics"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/908096#Topic/conservation_laws_mathematics> # Conservation laws (Mathematics)
    a schema:Intangible ;
    schema:name "Conservation laws (Mathematics)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/908096#Topic/differential_equations_hyperbolic_numerical_solutions> # Differential equations, Hyperbolic--Numerical solutions
    a schema:Intangible ;
    schema:name "Differential equations, Hyperbolic--Numerical solutions"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/908096#Topic/mathematical_analysis> # Mathematical analysis
    a schema:Intangible ;
    schema:name "Mathematical analysis"@en ;
    .

<http://worldcat.org/isbn/9783034886291>
    a schema:ProductModel ;
    schema:isbn "3034886292" ;
    schema:isbn "9783034886291" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.