Thomée, Vidar 1933
Overview
Works:  84 works in 257 publications in 4 languages and 2,831 library holdings 

Roles:  Author, Editor, Other 
Classifications:  QA374, 515.353 
Publication Timeline
.
Most widely held works by
Vidar Thomée
Galerkin finite element methods for parabolic problems by
Vidar Thome(
Book
)
46 editions published between 1984 and 2010 in English and German and held by 832 WorldCat member libraries worldwide
"This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution. The book gives an excellent insight in the present ideas and methods of analysis."Jacket
46 editions published between 1984 and 2010 in English and German and held by 832 WorldCat member libraries worldwide
"This book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin's method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution. The book gives an excellent insight in the present ideas and methods of analysis."Jacket
Partial differential equations with numerical methods by
Stieg Larsson(
Book
)
31 editions published between 2003 and 2009 in English and German and held by 430 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
31 editions published between 2003 and 2009 in English and German and held by 430 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
)
18 editions published between 1975 and 2008 in English and Italian and held by 420 WorldCat member libraries worldwide
18 editions published between 1975 and 2008 in English and Italian and held by 420 WorldCat member libraries worldwide
Mathematical theory of finite and boundary element methods by
Alfred H Schatz(
Book
)
13 editions published in 1990 in English and held by 222 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
13 editions published in 1990 in English and held by 222 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 Thome(
Book
)
3 editions published in 1959 in English and Swedish and held by 4 WorldCat member libraries worldwide
3 editions published in 1959 in English and Swedish and held by 4 WorldCat member libraries worldwide
Polygonal domain approximation in dirichlet's problem by
Vidar Thome(
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
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
Discrete time galerkin methods for a parabolic boundary value problem 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
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
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 3 WorldCat member libraries worldwide
4 editions published in 1985 in English and held by 3 WorldCat member libraries worldwide
On rational approximations of semigroups by
Philip Brenner(
Book
)
3 editions published in 1978 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1978 in English and held by 3 WorldCat member libraries worldwide
Some topics in stability theory for partial difference operators by
Vidar Thome(
Book
)
2 editions published in 1967 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1967 in English and held by 3 WorldCat member libraries worldwide
Spline approximation and difference schemes for the heat equation by
Vidar Thome(
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
Nonsmooth data error estimates for approximations of an evolution equation with a positive type memory term by
Christian Lubich(
Book
)
3 editions published between 1994 and 1995 in English and held by 3 WorldCat member libraries worldwide
3 editions published between 1994 and 1995 in English and held by 3 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 3 WorldCat member libraries worldwide
4 editions published in 1993 in English and held by 3 WorldCat member libraries worldwide
Galerkin methods for singular boundary value problems in one space dimension by
K Eriksson(
Book
)
3 editions published in 1982 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1982 in English and held by 3 WorldCat member libraries worldwide
Numerical solution of parabolic integrodifferential equations by the discontinuous Galerkin method by
Stieg Larsson(
Book
)
3 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1995 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 2 WorldCat member libraries worldwide
5 editions published between 1987 and 1988 in English and held by 2 WorldCat member libraries worldwide
RitzVolterra projections to finite element spaces and applications to integrodifferential and related equations by
Yanping Lin(
Book
)
2 editions published in 1989 in English and held by 1 WorldCat member library worldwide
2 editions published in 1989 in English and held by 1 WorldCat member library worldwide
Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data by
J. H Bramble(
Book
)
2 editions published in 1988 in English and held by 1 WorldCat member library worldwide
2 editions published in 1988 in English and held by 1 WorldCat member library worldwide
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Approximation theory Besov spaces Boundary element methods Boundary value problems 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 Galerkin methods Global analysis (Mathematics) Heat equation Initial value problems Integrodifferential equations Mathematical physics Mathematics Nonsmooth optimization Numerical analysis Physics Poisson's equation Semigroups Spline theory