Osborn, J. (John) 1936
Overview
Works:  5 works in 6 publications in 1 language and 6 library holdings 

Roles:  Editor 
Classifications:  QA3, 
Publication Timeline
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Most widely held works by
J Osborn
New a priori FEM error estimates for eigenvalues
by
Andrew V Knyazev(
Book
)
2 editions published in 2004 in English and held by 2 WorldCat member libraries worldwide
"We analyze the Ritz method for symmetric eigenvalue problems and prove a priori eigenvalue error estimates. For a single eigenvalue, we prove an error estimate that depends mainly on just the approximability of the corresponding eigenfunction and provide explicit values for all constants. For a multiple eigenvalue we prove, in addition, apparently the first truly a priori error estimates that show the levels of the eigenvalue errors depending on approximability of eigenfunctions in the corresponding eigenspace."Authors' abstract
2 editions published in 2004 in English and held by 2 WorldCat member libraries worldwide
"We analyze the Ritz method for symmetric eigenvalue problems and prove a priori eigenvalue error estimates. For a single eigenvalue, we prove an error estimate that depends mainly on just the approximability of the corresponding eigenfunction and provide explicit values for all constants. For a multiple eigenvalue we prove, in addition, apparently the first truly a priori error estimates that show the levels of the eigenvalue errors depending on approximability of eigenfunctions in the corresponding eigenspace."Authors' abstract
Lectures on the numerical solution of partial differential equations : proceedings of the Special Year in Numerical Analysis, held at the University of Maryland, Department of Mathematics, College Park, MD, 1981
(
Book
)
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
Finite elementGalerkin approximation of the eigenvalues and eigenvectors of selfadjoint problems
by
Ivo Babuška(
Book
)
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
Eigenvalue problems
by
Ivo Babuška(
Book
)
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
This section presents several model eigenvalue problems arising in physics and engineering. Specifically discussed are some important physical interpretations of eigenvalues and eigenfunctions. Some of the model problems discussed here will serve as illustrative examples in connection with the approximation methods considered later. A clear understanding of the fundamental ideas is presented, but not a detailed treatment. For a more complete discussion of the material in this section refer to CourantHilbert 1953
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
This section presents several model eigenvalue problems arising in physics and engineering. Specifically discussed are some important physical interpretations of eigenvalues and eigenfunctions. Some of the model problems discussed here will serve as illustrative examples in connection with the approximation methods considered later. A clear understanding of the fundamental ideas is presented, but not a detailed treatment. For a more complete discussion of the material in this section refer to CourantHilbert 1953
Lectures on the numerical solution of partial differential equations
by Special Year in Numerical Analysis(
Book
)
1 edition published in 1981 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 0 WorldCat member libraries worldwide
Audience Level
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Related Identities
 Babuška, Ivo Author Editor
 Liu, TaiPing 1945 Editor
 Knyazev, Andrew V. Author
 University of Maryland, College Park Department of Mathematics
 University of Colorado at Denver Center for Computational Mathematics
 University of Maryland at College Park Institute for Physical Science and Technology
 University of Maryland, College Park Institute for Physical Science and Technology
 University of Maryland at College Park
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