Thomée, Vidar 1933
Overview
Works:  89 works in 303 publications in 4 languages and 3,028 library holdings 

Roles:  Author, Editor, Other 
Classifications:  QA374, 515.353 
Publication Timeline
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Most widely held works by
Vidar Thomée
Galerkin finite element methods for parabolic problems by
Vidar Thomée(
Book
)
58 editions published between 1984 and 2010 in 3 languages and held by 857 WorldCat member libraries worldwide
Surveying the mathematics of Galerkin finite element method as applied to parabolic equations, this textbook's approach is based on discretizing in the spatial variables by Galerkin's method. Piecewise polynomial trial functions are used, and time stepping methods are applied
58 editions published between 1984 and 2010 in 3 languages and held by 857 WorldCat member libraries worldwide
Surveying the mathematics of Galerkin finite element method as applied to parabolic equations, this textbook's approach is based on discretizing in the spatial variables by Galerkin's method. Piecewise polynomial trial functions are used, and time stepping methods are applied
Partial differential equations with numerical methods by
S Larsson(
Book
)
37 editions published between 2003 and 2009 in English and German and held by 452 WorldCat member libraries worldwide
Covers the integration of the theory of linear Partial Differential Equations and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, this text contains chapters on the mathematical theory of the differential equation, finite difference methods, and finite element methods
37 editions published between 2003 and 2009 in English and German and held by 452 WorldCat member libraries worldwide
Covers the integration of the theory of linear Partial Differential Equations and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, this text contains chapters on the mathematical theory of the differential equation, finite difference methods, and finite element methods
Besov spaces and applications to difference methods for initial value problems by
Philip Brenner(
Book
)
20 editions published between 1975 and 2008 in English and Italian and held by 431 WorldCat member libraries worldwide
20 editions published between 1975 and 2008 in English and Italian and held by 431 WorldCat member libraries worldwide
Mathematical theory of finite and boundary element methods by
Alfred H Schatz(
Book
)
14 editions published in 1990 in English and held by 239 WorldCat member libraries worldwide
These are the lecture notes of the seminar "Mathematische Theorie der finiten Element und Randelementmethoden" organized by the "Deutsche MathematikerVereinigung" and held in Düsseldorf from June 7th  14th 1987. Finite element methods nowadays belong to the standard routines for the computation of solutions to boundary and initial boundary value problems of partial differential equations with many applications as e.g. in elasticity and thermoelasticity, fluid mechanics, acoustics, electromagnetics, scattering and diffusion. These methods also stimulated the development of corresponding mathematical numerical analysis. The seminar as well as these notes consist of three parts: I. An Analysis of the Finite Element Method for Second Order Elliptic Boundary Value Problems by A.H. Schatz II. On Finite Elements for Parabolic Problems by V. Thomée III. Boundary Element Methods for Elliptic Problems by W.L. Wendland. As a valuable addition to the standard literature in this field, these notes provide an introduction and overview of the three different topics which shed light on recent research
14 editions published in 1990 in English and held by 239 WorldCat member libraries worldwide
These are the lecture notes of the seminar "Mathematische Theorie der finiten Element und Randelementmethoden" organized by the "Deutsche MathematikerVereinigung" and held in Düsseldorf from June 7th  14th 1987. Finite element methods nowadays belong to the standard routines for the computation of solutions to boundary and initial boundary value problems of partial differential equations with many applications as e.g. in elasticity and thermoelasticity, fluid mechanics, acoustics, electromagnetics, scattering and diffusion. These methods also stimulated the development of corresponding mathematical numerical analysis. The seminar as well as these notes consist of three parts: I. An Analysis of the Finite Element Method for Second Order Elliptic Boundary Value Problems by A.H. Schatz II. On Finite Elements for Parabolic Problems by V. Thomée III. Boundary Element Methods for Elliptic Problems by W.L. Wendland. As a valuable addition to the standard literature in this field, these notes provide an introduction and overview of the three different topics which shed light on recent research
Some results concerning boundary problems for partial differential equations by
Vidar Thomée(
Book
)
4 editions published in 1959 in English and Swedish and held by 5 WorldCat member libraries worldwide
4 editions published in 1959 in English and Swedish and held by 5 WorldCat member libraries worldwide
Polygonal domain approximation in Dirichlet's problem by
Vidar Thomée(
Book
)
4 editions published in 1971 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1971 in English and held by 4 WorldCat member libraries worldwide
Galerkin methods for singular boundary value problems in one space dimension by
K Eriksson(
Book
)
4 editions published in 1982 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1982 in English and held by 4 WorldCat member libraries worldwide
Numerical solution of parabolic integrodifferential equations by the discontinuous Galerkin method by Stig Larsson(
Book
)
3 editions published in 1995 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1995 in English and held by 4 WorldCat member libraries worldwide
Resolvent estimates for elliptic finite element operators in one dimension by
Michel Crouzeix(
Book
)
4 editions published in 1993 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1993 in English and held by 4 WorldCat member libraries worldwide
An a posteriori error estimate and automatic time step control for a backward Euler discretization of a parabolic problem by
Claes Johnson(
Book
)
4 editions published in 1985 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1985 in English and held by 4 WorldCat member libraries worldwide
Backward Euler type methods for parabolic integrodifferential equations in Banach space by
Nikolai Yu Bakaev(
Book
)
3 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
A numerical method for the BenjaminOno equation by
Vidar Thomée(
Book
)
3 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
Stability, analyticity, and almost best approximation in maximumnorm for parabolic finite element equations by
Alfred H Schatz(
Book
)
3 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
Nonsmooth data error estimates for approximations of an evolution equation with a positive type memory term by
Christian Lubich(
Book
)
4 editions published between 1994 and 1995 in English and held by 4 WorldCat member libraries worldwide
4 editions published between 1994 and 1995 in English and held by 4 WorldCat member libraries worldwide
On rational approximations of semigroups by
Philip Brenner(
Book
)
4 editions published in 1978 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1978 in English and held by 4 WorldCat member libraries worldwide
Besov Spaces and Applications to Difference Methods for Initial Value Problems by
R. P Brenner(
)
1 edition published in 1975 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1975 in English and held by 4 WorldCat member libraries worldwide
Projection methods for dirichlet's problem in approximating polygonal domains with boundary value corrections by
J. H Bramble(
Book
)
3 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
Spline approximation and difference schemes for the heat equation by
Vidar Thomée(
Book
)
3 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1972 in English and held by 3 WorldCat member libraries worldwide
Error estimates for spatially discrete approximations of semilinear parabolic equations with initial data of low regularity by
Michel Crouzeix(
Book
)
5 editions published between 1987 and 1988 in English and held by 3 WorldCat member libraries worldwide
5 editions published between 1987 and 1988 in English and held by 3 WorldCat member libraries worldwide
Finite element approximation of a parabolic integrodifferential equation with a weakly singular kernel by C Chen(
Book
)
3 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
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Associated Subjects
Approximation theory Besov spaces Boundary element methods Boundary value problemsNumerical solutions Differential equations, Linear Differential equations, Parabolic Differential equations, ParabolicNumerical solutions Differential equations, Partial Differential equations, PartialNumerical solutions Dirichlet problem Engineering mathematics Error functions Finite differences Finite element method Global analysis (Mathematics) Heat equation Initial value problems Integrodifferential equations Mathematical physics Mathematics Nonsmooth optimization Numerical analysis Physics Poisson's equation Semigroups Spline theory