Vidar Thomée
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Swedish mathematician
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Vidar Thoméemathematics Degrees
Mathematics
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Measure Theory
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Mathematics
Vidar Thomée's Degrees
- PhD Mathematics Uppsala University
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(Suggest an Edit or Addition)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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