WorldCat Identities

Thomée, Vidar 1933-

Overview
Works: 72 works in 207 publications in 3 languages and 2,639 library holdings
Roles: Editor, Other, Creator
Classifications: QA374, 515.353
Publication Timeline
Key
Publications about  Vidar Thomée Publications about Vidar Thomée
Publications by  Vidar Thomée Publications by Vidar Thomée
Most widely held works by Vidar Thomée
Galerkin finite element methods for parabolic problems by Vidar Thomée ( Book )
44 editions published between 1984 and 2010 in English and German and held by 1,287 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."--BOOK JACKET
Besov spaces and applications to difference methods for initial value problems by Philip Brenner ( Book )
17 editions published between 1975 and 2008 in English and held by 529 WorldCat member libraries worldwide
Partial differential equations with numerical methods by S Larsson ( Book )
27 editions published between 2003 and 2009 in English and German and held by 504 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
Mathematical theory of finite and boundary element methods by Alfred H Schatz ( Book )
12 editions published in 1990 in English and held by 227 WorldCat member libraries worldwide
These are the lecture notes of the seminar "Mathematische Theorie der finiten Element- und Randelementmethoden" organized by the "Deutsche Mathematiker-Vereinigung" 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 )
3 editions published in 1959 in English and Swedish and held by 4 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 4 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
Consider Dirichlet's problem with vanishing boundary values for Poisson's equation in a smooth domain omega in the plane. In the paper upper and lower bounds with respect to different norms are given for the error and the gradient of the error introduced by approximating omega by a polygonal domain omega sub h with side-lengths at most h. (Author)
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
It is proved that the spline approximation by Galerkin's method of the solution of the initial-value problem for the heat equation can be considered as the successive application of an associated finite difference operator and a spline interpolation operator. If the splines considered are of order mu, the finite difference operator is parabolic and accurate of order 2mu - 2. Some consequences of this fact are discussed. (Author)
Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data by J. H Bramble ( )
2 editions published in 1988 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
Accurate approximate methods for solving Dirichlet's problem in a plane domain which consist in applying projection methods on an approximating polygonal domain are described and analyzed. (Author)
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
Single step discrete time Galerkin methods for the mixed initial-boundary value problem for the heat equation are studied. Two general theoreis leading to error estimates are developed. Among the examples analyzed in the application of these theories are methods in which the related quadratic form is required to be definite only the subspace of approximating functions and two classes containing methods of arbitrary given order of accuracy, one requiring satisfaction of certain boundary conditions by the elements of the subspace, the other making no such requirements. (Author)
Ritz-Volterra projections to finite element spaces and applications to integro-differential and related equations by Yanping Lin ( )
2 editions published in 1989 in English and held by 3 WorldCat member libraries worldwide
Some topics in stability theory for partial difference operators by Vidar Thomée ( Book )
2 editions published in 1967 in English and held by 3 WorldCat member libraries worldwide
On the rate of convergence of some difference schemes for second order elliptic equations by J.H. Bramble, R.B. Kellog, V. Thomée by J. H Bramble ( Book )
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
On rational approximations of semigroups by Philip Brenner ( Book )
2 editions published in 1978 in English and held by 2 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 )
3 editions published in 1985 in English and held by 2 WorldCat member libraries worldwide
Nonsmooth data error estimates for approximations of an evolution equation with a positive type memory term by Christian Lubich ( Book )
2 editions published between 1994 and 1995 in English and held by 2 WorldCat member libraries worldwide
Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method by Stig Larsson ( Book )
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
Convergence estimates for Galerkin methods for variable coefficient initial-value problems by Vidar Thomée ( Book )
2 editions published in 1973 in Undetermined and English and held by 1 WorldCat member library worldwide
Discretization with variable time steps of an evolution equation with a positive type memory term by W McLean ( Book )
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.77 (from 0.00 for Convergenc ... to 1.00 for On rationa ...)
Alternative Names
Thomée, Charles Vidar Håkan, 1933-
Thomee, V.
Thomée, V. (Vidar), 1933-
Thomee, Vidar
Languages
English (131)
German (7)
Swedish (1)
Covers