Osborn, J. (John) 1936
Overview
Works:  4 works in 7 publications in 1 language and 9 library holdings 

Roles:  Editor 
Classifications:  QA3, 
Publication Timeline
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Most widely held works by
J Osborn
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
)
3 editions published in 1981 in English and held by 5 WorldCat member libraries worldwide
Contents: Adapting CourantFriedrichsLevy to the 1980's; Parametrization Methods for Approximation of Solutions of Elliptic Boundary Value Problems; Two Mixed Finite Element Methods for the Simply Supported Plat Problem; Approximation of Nonlinear Problems; Twodimensional Approximations of Threedimensional Models in Nonlinear Plate Theory; Changing Meshes in Timedependent Problems; Alternatingdirection Galerkin Methods for Parabolic Hyperbolic and Sobolev Partial Differential Equations; Galerkin Methods for Miscible Displacement Problems with Point Sources and SinksUnit Mobility Ratio Case; Overtaking of Shock Waves in Steady Twodimensional Supersonic Flows; Homogenization, Convex Analysis, and the Geometry Optimization of Engineering Structures; Stability and Error Bounds for a Fractional Step Scheme to Compute Weak Solutions of the Nonlinear Waterhammer Problem; Schauder Estimates for Finite Element Approximations of Second Order Elliptic Boundary Value Problems; Analysis of Some Contact Problems in Nonlinear Elasticity; Single Step Methods for Linear Differential Equations in Banach Spaces; The Quasioptimality in the Maximum Norm of the H1 Projection into Piecewise Linear Functions in the Plane: a Complete Proof (Second lecture); A Brief Survey of Parabolic Smoothing and How It Affects a Numerical Solution: Finite Differences and Finite Elements (Third lecture); Integral Equation Methods for Mixed Boundary Value Problems (Second lecture)
3 editions published in 1981 in English and held by 5 WorldCat member libraries worldwide
Contents: Adapting CourantFriedrichsLevy to the 1980's; Parametrization Methods for Approximation of Solutions of Elliptic Boundary Value Problems; Two Mixed Finite Element Methods for the Simply Supported Plat Problem; Approximation of Nonlinear Problems; Twodimensional Approximations of Threedimensional Models in Nonlinear Plate Theory; Changing Meshes in Timedependent Problems; Alternatingdirection Galerkin Methods for Parabolic Hyperbolic and Sobolev Partial Differential Equations; Galerkin Methods for Miscible Displacement Problems with Point Sources and SinksUnit Mobility Ratio Case; Overtaking of Shock Waves in Steady Twodimensional Supersonic Flows; Homogenization, Convex Analysis, and the Geometry Optimization of Engineering Structures; Stability and Error Bounds for a Fractional Step Scheme to Compute Weak Solutions of the Nonlinear Waterhammer Problem; Schauder Estimates for Finite Element Approximations of Second Order Elliptic Boundary Value Problems; Analysis of Some Contact Problems in Nonlinear Elasticity; Single Step Methods for Linear Differential Equations in Banach Spaces; The Quasioptimality in the Maximum Norm of the H1 Projection into Piecewise Linear Functions in the Plane: a Complete Proof (Second lecture); A Brief Survey of Parabolic Smoothing and How It Affects a Numerical Solution: Finite Differences and Finite Elements (Third lecture); Integral Equation Methods for Mixed Boundary Value Problems (Second lecture)
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
New a priori FEM error estimates for eigenvalues by
Andrew V Knyazev(
Book
)
2 editions published in 2004 in English and held by 1 WorldCat member library 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 1 WorldCat member library 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
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
Audience Level
0 

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Kids  General  Special 
Related Identities
 Babuška, Ivo Author Editor
 Liu, T.P Editor
 University of Maryland, College Park Department of Mathematics
 Knyazev, Andrew V. Author
 MARYLAND UNIV COLLEGE PARK Dept. of 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 Colorado at Denver Center for Computational Mathematics
Useful Links
Alternative Names
John E. Osborn Amerikaans wiskundige (19362011)
John Edward Osborn
Osborn, John 1936
Osborn, John Edward
Languages