skip to content
Some Superconvergence Results for an (H sup 1)-Galerkin Procedure for the Heat Equation. Preview this item
ClosePreview this item
Checking...

Some Superconvergence Results for an (H sup 1)-Galerkin Procedure for the Heat Equation.

Author: Jim Douglas, Jr.; Todd Dupont; Mary Fanett Wheeler; WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER.
Publisher: Ft. Belvoir Defense Technical Information Center DEC 1973.
Edition/Format:   Print book : English
Database:WorldCat
Summary:
SDouglas, Jim, Jr.;Dupont, Todd ;Wheeler, Mary Fanett ;MRC-TSR-1382DA-31-124-ARO(D)-462Sponsored in part by National Science Foundation.*Heat transfer, *Partial differential equations, Calculus of variations, Convergence, Approximation, Theorems*Galerkin method, Parabolic differential equations, Heat equationThomee and Wahlbin have introduced a Galerkin method for the heat equation in a single space variable based  Read more...
Rating:

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

Subjects
More like this

 

Find a copy in the library

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

Details

Document Type: Book
All Authors / Contributors: Jim Douglas, Jr.; Todd Dupont; Mary Fanett Wheeler; WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER.
OCLC Number: 227569074
Notes: Sponsored in part by National Science Foundation.
Description: 26 pages

Abstract:

SDouglas, Jim, Jr.;Dupont, Todd ;Wheeler, Mary Fanett ;MRC-TSR-1382DA-31-124-ARO(D)-462Sponsored in part by National Science Foundation.*Heat transfer, *Partial differential equations, Calculus of variations, Convergence, Approximation, Theorems*Galerkin method, Parabolic differential equations, Heat equationThomee and Wahlbin have introduced a Galerkin method for the heat equation in a single space variable based on the (H sup 1)-inner product and have obtained (H sup 2) and (H sup 1) estimates for the error. An (L sup 2) estimate is given here. The main object is to show knot superconvergence phenomena when the subspace is a piecewise-polynomial space. For (C sup 2)-piecewise-polynomials of degree r, the error in the knot values is O(h sup(2r-2)); for the (C sup 1) case, both knot values and knot first x-derivatives are approximated to within O(h sup(2r-2)). (Author).

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/227569074> # Some Superconvergence Results for an (H sup 1)-Galerkin Procedure for the Heat Equation.
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "227569074" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/vau> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/137280631#Place/ft_belvoir> ; # Ft. Belvoir
    schema:about <http://experiment.worldcat.org/entity/work/data/137280631#Topic/heat_transfer> ; # Heat transfer
    schema:about <http://experiment.worldcat.org/entity/work/data/137280631#Thing/parabolic_differential_equations> ; # Parabolic differential equations
    schema:about <http://experiment.worldcat.org/entity/work/data/137280631#Topic/theorems> ; # Theorems
    schema:about <http://experiment.worldcat.org/entity/work/data/137280631#Topic/convergence> ; # Convergence
    schema:about <http://experiment.worldcat.org/entity/work/data/137280631#Topic/thermodynamics> ; # Thermodynamics
    schema:about <http://experiment.worldcat.org/entity/work/data/137280631#Thing/heat_equation> ; # Heat equation
    schema:about <http://experiment.worldcat.org/entity/work/data/137280631#Topic/approximation_mathematics> ; # Approximation(mathematics)
    schema:about <http://experiment.worldcat.org/entity/work/data/137280631#Topic/numerical_mathematics> ; # Numerical Mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/137280631#Topic/calculus_of_variations> ; # Calculus of variations
    schema:about <http://experiment.worldcat.org/entity/work/data/137280631#Thing/galerkin_method> ; # Galerkin method
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://experiment.worldcat.org/entity/work/data/137280631#Organization/wisconsin_univ_madison_mathematics_research_center> ; # WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER.
    schema:contributor <http://viaf.org/viaf/66543314> ; # Mary Fanett Wheeler
    schema:contributor <http://viaf.org/viaf/17316602> ; # Jr. Jim Douglas
    schema:contributor <http://viaf.org/viaf/25134445> ; # Todd Dupont
    schema:datePublished "1973" ;
    schema:datePublished "DEC 1973" ;
    schema:description "SDouglas, Jim, Jr.;Dupont, Todd ;Wheeler, Mary Fanett ;MRC-TSR-1382DA-31-124-ARO(D)-462Sponsored in part by National Science Foundation.*Heat transfer, *Partial differential equations, Calculus of variations, Convergence, Approximation, Theorems*Galerkin method, Parabolic differential equations, Heat equationThomee and Wahlbin have introduced a Galerkin method for the heat equation in a single space variable based on the (H sup 1)-inner product and have obtained (H sup 2) and (H sup 1) estimates for the error. An (L sup 2) estimate is given here. The main object is to show knot superconvergence phenomena when the subspace is a piecewise-polynomial space. For (C sup 2)-piecewise-polynomials of degree r, the error in the knot values is O(h sup(2r-2)); for the (C sup 1) case, both knot values and knot first x-derivatives are approximated to within O(h sup(2r-2)). (Author)."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/137280631> ;
    schema:inLanguage "en" ;
    schema:name "Some Superconvergence Results for an (H sup 1)-Galerkin Procedure for the Heat Equation."@en ;
    schema:productID "227569074" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/227569074#PublicationEvent/ft_belvoirdefense_technical_information_centerdec_1973> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/137280631#Agent/defense_technical_information_center> ; # Defense Technical Information Center
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/227569074> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/137280631#Agent/defense_technical_information_center> # Defense Technical Information Center
    a bgn:Agent ;
    schema:name "Defense Technical Information Center" ;
    .

<http://experiment.worldcat.org/entity/work/data/137280631#Organization/wisconsin_univ_madison_mathematics_research_center> # WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER.
    a schema:Organization ;
    schema:name "WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER." ;
    .

<http://experiment.worldcat.org/entity/work/data/137280631#Thing/galerkin_method> # Galerkin method
    a schema:Thing ;
    schema:name "Galerkin method" ;
    .

<http://experiment.worldcat.org/entity/work/data/137280631#Thing/parabolic_differential_equations> # Parabolic differential equations
    a schema:Thing ;
    schema:name "Parabolic differential equations" ;
    .

<http://experiment.worldcat.org/entity/work/data/137280631#Topic/approximation_mathematics> # Approximation(mathematics)
    a schema:Intangible ;
    schema:name "Approximation(mathematics)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/137280631#Topic/calculus_of_variations> # Calculus of variations
    a schema:Intangible ;
    schema:name "Calculus of variations"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/137280631#Topic/numerical_mathematics> # Numerical Mathematics
    a schema:Intangible ;
    schema:name "Numerical Mathematics"@en ;
    .

<http://viaf.org/viaf/17316602> # Jr. Jim Douglas
    a schema:Person ;
    schema:familyName "Douglas" ;
    schema:givenName "Jim" ;
    schema:name "Jr. Jim Douglas" ;
    .

<http://viaf.org/viaf/25134445> # Todd Dupont
    a schema:Person ;
    schema:familyName "Dupont" ;
    schema:givenName "Todd" ;
    schema:name "Todd Dupont" ;
    .

<http://viaf.org/viaf/66543314> # Mary Fanett Wheeler
    a schema:Person ;
    schema:familyName "Wheeler" ;
    schema:givenName "Mary Fanett" ;
    schema:name "Mary Fanett Wheeler" ;
    .

<http://www.worldcat.org/title/-/oclc/227569074>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/227569074> ; # Some Superconvergence Results for an (H sup 1)-Galerkin Procedure for the Heat Equation.
    schema:dateModified "2015-07-29" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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