Vidar Thomée

Vidar Thomée's AcademicInfluence.com Rankings

Vidar Thomée

Mathematics

#6933

World Rank

#9519

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Measure Theory

#1731

World Rank

#2126

Historical Rank

mathematics Degrees

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Mathematics

Vidar Thomée's Degrees

PhD Mathematics Uppsala University

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Vidar Thomée's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Partial differential equations with numerical methods (2003) (362)
Galerkin Finite Element Methods for Parabolic Problems (Springer Series in Computational Mathematics) (2010) (340)
Time discretization of parabolic problems by the discontinuous Galerkin method (1985) (213)
Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term (1996) (212)
Error estimates for some mixed finite element methods for parabolic type problems (1981) (209)
Ritz-Volterra projections to finite-element spaces and applications to integrodifferential and related equations (1991) (178)
Numerical solution of an evolution equation with a positive-type memory term (1993) (162)
The stability in _{} and ¹_{} of the ₂-projection onto finite element function spaces (1987) (159)
Time discretization of an integro-differential equation of parabolic type (1986) (157)
Besov Spaces and Applica-tions to DiKerence Methods for Initial Value Problems (1975) (150)
ON RATIONAL APPROXIMATIONS OF SEMIGROUPS (1979) (145)
Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations (1977) (136)
A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature (2003) (128)
The Stability in- L and W^ of the L2-Projection onto Finite Element Function Spaces (2010) (119)
From finite differences to finite elements a short history of numerical analysis of partial differential equations (2001) (117)
Error estimates for semidiscrete finite element methods for parabolic integro-differential equations (1989) (111)
Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method (1998) (111)
Asymptotic behavior of semidiscrete finite-element approximations of Biot's consolidation problem (1996) (111)
Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable (1981) (109)
A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature (2000) (108)
Numerical solution via Laplace transforms of a fractional order evolution equation (2010) (107)
Error estimates for a finite volume element method for parabolic equations in convex polygonal domains (2004) (104)
Numerical methods for hyperbolic and parabolic integro-differential equations (1992) (103)
Maximum norm stability and error estimates in parabolic finite element equations (1980) (100)
Discretization with variable time steps of an evolution equation with a positive-type memory term (1996) (99)
High order local approximations to derivatives in the finite element method (1977) (97)
Finite element approximation of a parabolic integro-differential equation with a weakly singular kernel (1992) (94)
The stability of rational approximations of analytic semigroups (1993) (94)
Single step methods for inhomogeneous linear differential equations in Banach space (1982) (90)
Finite difference methods for linear parabolic equations (1990) (89)
Mathematical theory of finite and boundary element methods (1990) (87)
An a posteriori error estimate and adaptive timestep control for a backward Euler discretization of a parabolic problem (1990) (86)
The lumped mass finite element method for a parabolic problem (1985) (82)
Time discretization of an evolution equation via Laplace transforms (2004) (81)
Stability Theory for Partial Difference Operators (1969) (78)
Convergence Estimates for Galerkin Methods for Variable Coefficient Initial Value Problems (1974) (78)
Smoothing of initial data and rates of convergence for parabolic difference equations (1970) (77)
Single step Galerkin approximations for parabolic problems (1977) (75)
Finite-Element Methods for a Strongly Damped Wave Equation (1991) (71)
Stability of difference schemes in the maximum-norm☆ (1965) (70)
On Galerkin Methods in Semilinear Parabolic Problems (1975) (70)
Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation (2010) (65)
Negative norm estimates and superconvergence in Galerkin methods for parabolic problems (1980) (64)
Time discretization via Laplace transformation of an integro-differential equation of parabolic type (2006) (64)
Error estimates for spatially discrete approximations of semilinear parabolic equations with nonsmooth initial data (1987) (60)
Elliptic difference equations and interior regularity (1968) (55)
Stability, analyticity, and almost best approximation in maximum norm for parabolic finite element equations (1998) (54)
A Lumped Mass Finite-element Method with Quadrature for a Non-linear Parabolic Problem (1985) (53)
Error estimates for a finite element approximation of a minimal surface (1975) (52)
Maximum-norm estimates for resolvents of elliptic finite element operators (2003) (50)
Galerkin Methods for Singular Boundary Value Problems in One Space Dimension (1984) (49)
On the Discretization in Time of Semilinear Parabolic Equations with Nonsmooth Initial Data (1987) (48)
Projection methods for Dirichlet’s problem in approximating polygonal domains with boundary-value corrections (1972) (47)
Stability and analyticity in maximum-norm for simplicial Lagrange finite element semidiscretizations of parabolic equations with Dirichlet boundary conditions (2000) (46)
On the Rate of Convergence for Discrete Initial-Value Problems. (1967) (45)
Long-time numerical solution of a parabolic equation with memory (1994) (44)
Convergence estimates for essentially positive type discrete Dirichlet problems (1969) (44)
Numerical solution of semilinear integrodifferential equations of parabolic type with nonsmooth data (1989) (44)
Discrete Interior Schauder Estimates for Elliptic Difference Operators (1968) (43)
Galerkin Finite Element Methods for Parabolic Problems, Second Edition (2006) (41)
Stability and Convergence Rates in $L^p$ for Certain Difference Schemes. (1970) (41)
Resolvent estimates for elliptic finite element operators in one dimension (1994) (38)
Convergence Rates of Parabolic Difference Schemes for Non-Smooth Data* (1974) (38)
Discrete time Galerkin methods for a parabolic boundary value problem (1974) (38)
Interpolation of Coefficients and Transformation of the Dependent Variable in Finite Element Methods for the Non-linear Heat Equation (1989) (37)
A Mixed Method (2006) (37)
Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data (1989) (37)
Semidiscrete least-squares methods for a parabolic boundary value problem (1972) (37)
A numerical method for the Benjamin-Ono equation (1998) (36)
Some convergence estimates for semidiscrete type schemes for time-dependent nonselfadjoint parabolic equations (1981) (35)
Parabolic finite element equations in nonconvex polygonal domains (2006) (34)
Maximum-norm stability and error estimates in Galerkin methods for parabolic equations in one space variable (1983) (33)
A high order parallel method for time discretization of parabolic type equations based on Laplace transformation and quadrature (2005) (32)
On the existence of maximum principles in parabolic finite element equations (2008) (32)
Some Convergence Results for Galerkin Methods for Parabolic Boundary Value Problems (1974) (30)
Polygonal Domain Approximation in Dirichlet's Problem (1973) (29)
Spline Approximation and Difference Schemes for the Heat Equation. (1972) (26)
Parabolic finite volume element equations in nonconvex polygonal domains (2009) (25)
Resolvent Estimates in l_p for Discrete Laplacians on Irregular Meshes and Maximum-norm Stability of Parabolic Finite Difference Schemes (2001) (24)
Asymptotic behaviour of numerical solutions of an evolution equation with memory (1997) (24)
A Stable Difference Scheme for the Mixed Boundary Problem for a Hyperbolic, First-Order System in Two Dimensions (1962) (22)
Estimates of the Friedrichs-Lewy type for mixed problems in the theory of linear hyperbolic differential equations in two independent variables (1957) (21)
On nonnegativity preservation in finite element methods for subdiffusion equations (2015) (20)
Convergence estimates for semi-discrete galerkin methods for initial-value problems (1973) (20)
Error estimates for spatially discrete approximations of semilinear parabolic equations with initial data of low regularity (1989) (20)
On the Backward Euler Method for Parabolic Equations with Rough Initial Data (1982) (20)
Maximum-Norm Estimates for Finite-Element Methods for a Strongly Damped Wave Equation (2004) (19)
Numerical methods for ultraparabolic equations (1994) (18)
Existence Proofs for Mixed Problems for Hyperbolic Differential Equations in Two Independent Variables by Means of the Continuity Method. (1958) (18)
Pointwise Bounds for Discrete Green’s Functions (1969) (18)
Estimates Near Discontinuities for Some Difference Schemes. (1971) (17)
Some Error Estimates for the Finite Volume Element Method for a Parabolic Problem (2012) (14)
Difference methods for two-dimensional mixed problems for hyperbolic first order systems (1961) (14)
Interior maximum norm estimates for some simple finite element methods (1974) (13)
A property of bounded normal operators in Hilbert space (1963) (13)
Parabolic Difference Operators. (1966) (12)
On Preservation of Positivity in Some Finite Element Methods for the Heat Equation (2015) (12)
ON RATIONAL APPROXIMATIONS OF GROUPS OF OPERATORS (1980) (11)
Unconditionally stable difference methods for mixed problems for quasi‐linear hyperbolic systems in two dimensions (1962) (11)
ON THE RATE OF CONVERGENCE OF DIFFERENCE SCHEMES FOR HYPERBOLIC EQUATIONS (1971) (11)
On Positivity Preservation in Some Finite Element Methods for the Heat Equation (2014) (11)
BACKWARD EULER TYPE METHODS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH DATA (1993) (9)
Estimates of the Friedrichs -Lewy type for a hyperbolic equation with three characteristics (1955) (9)
Some interior estimates for semidiscrete Galerkin approximations for parabolic equations (1979) (9)
A difference method for a mixed boundary problem for symmetric hyperbolic systems (1963) (8)
On the rate of convergence of some difference schemes for second order elliptic equations (1968) (8)
Generally Unconditionally Stable Difference Operators (1967) (8)
On the Numerical Solution of Integro-Differential Equations of Parabolic Type (1988) (8)
Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations (2006) (7)
Maximum-Norm Stability and Error Estimates (1997) (7)
Spline-galerkin methods for initial-value problems with constant coefficients (1974) (6)
On Positivity and Maximum-Norm Contractivity in Time Stepping Methods for Parabolic Equations (2010) (6)
Backward euler type methods for parabolic integro-differential equations in Banach space (1998) (6)
Convergence analysis of a finite difference scheme for a simple semi-linear hyperbolic equation (1974) (5)
The Finite Element Method for Parabolic Problems (1990) (4)
A Predictor-Corrector Type Scheme for the Mixed Boundary Problem for a Hyperbolic First-Order System in Two Dimensions (1963) (4)
A mixed boundary-value problem for hyperbolic first-order systems with derivatives in the boundary conditions (1961) (4)
Locally Cogent Boundary Operators. (1959) (4)
The Discontinuous Galerkin Time Stepping Method (2006) (4)
Some error estimates in Galerkin methods for parabolic equations (1977) (4)
Error estimates for finite element methods for semilinear parabolic problems with nonsmooth data (1986) (3)
Some convergence results in elliptic difference equations (1971) (3)
Convergence near plane boundaries of some elliptic difference schemes (1971) (3)
APPROXIMATE SOLUTION OF O.D.E.S IN BANACH SPACE - RATIONAL APPROXIMATION OF SEMIGROUPS (1993) (3)
An error estimate for theH−1 Galerkin method for a parabolic problem with non-smooth initial data (1982) (3)
An Explicit-Implicit Splitting Method for a Convection-Diffusion Problem (2018) (3)
Semilinear Parabolic Equations (2006) (2)
A First-Order Explicit-Implicit Splitting Method for a Convection-Diffusion Problem (2020) (2)
Approximate solution of u'=−A2u using a relation between exp(-tA2) and exp(itA) (1995) (2)
A Finite Element Splitting Method for a Convection-Diffusion Problem (2020) (2)
The standard Galerkin method (2006) (2)
ITERATIVE SOLUTION OF SHIFTED POSITIVE-DEFINITE LINEAR SYSTEMS ARISING IN A NUMERICAL METHOD FOR THE HEAT EQUATION BASED ON LAPLACE TRANSFORMATION AND QUADRATURE (2011) (2)
Convergence analysis of finite difference schemes for semi-linear initial-value problems (1976) (2)
Negative Norm Estimates and Superconvergence (1984) (1)
Some Topics in Stability Theory for Partial Difference Operators (2010) (1)
Finite difference methods for the heat equation with a nonlocal boundary condition (2015) (1)
A nonlinear problem (2006) (1)
A Singular Problem (1984) (1)
Vidar Thomee Galerkin Finite Element Methods for Parabolic Problems (2016) (1)
The finite difference versus the finite element method for the solution of boundary value problems (1984) (1)
Maximum-norm stability, smoothing and resolvent estimates for parabolic finite element equations (2007) (1)
First order hyperbolic equations (1975) (1)
The method of lumped masses (2006) (0)
The heat equation (1975) (0)
Maximum-Norm estimates (1984) (0)
Maximum-Norm Resolvent Estimates and Stability for Parabolic Finite Element Problems (2006) (0)
Maximum-Norm Estimates and Analytic Semigroups (2006) (0)
Semidiscrete methods based on more general approximations of the elliptic problem (1984) (0)
1. g From finite differences to finite elements: A short history of numerical analysis of partial differential (2003) (0)
Completely discrete schemes for the inhomogeneous equation (1984) (0)
Multistep Backward Difference Methods (2006) (0)
Contractive difference schemes for symmetric hyperbolic systems (1971) (0)
More General Parabolic Equations (2006) (0)
The H 1 and H −1 Methods (1984) (0)
Convergence Rates of Parabolic Difference Schemes (2010) (0)
On nonnegativity preservation in finite element methods for the heat equation with non-Dirichlet boundary conditions (2018) (0)
Nonsmooth Data Error Estimates (2006) (0)
Parabolic equations with more general elliptic operators (1984) (0)
Problems in Polygonal Domains (2006) (0)
Initial value problems and difference operators (1975) (0)
Fourier multipliers on Lp (1975) (0)
Some results concerning boundary problems for partial differential equations (1959) (0)
Single Step Fully Discrete Schemes for the Inhomogeneous Equation (2006) (0)
THE LUMPED MASS FINITE ELEMENT METHOD FOR PARABOLIC EQUATIONS (1986) (0)
Single Step Methods and Rational Approximations of Semigroups (2006) (0)
The Characterization of Boundary Integral Operators and Galerkin Boundary Element Methods (1990) (0)
The Schrödinger equation (1975) (0)
Smooth and non-smooth data error estimates for the homogeneous equation (1984) (0)
Incomplete Iterative Solution of the Algebraic Systems at the Time Levels (2006) (0)
Time Discretization by Laplace Transformation and Quadrature (2006) (0)
Methods Based on More General Approximations of the Elliptic Problem (2006) (0)
Time discretization by the discontinuous Galerkin method (1984) (0)

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What Schools Are Affiliated With Vidar Thomée?

Vidar Thomée is affiliated with the following schools:

Stockholm University
Uppsala University
Chalmers University of Technology