Vidar Thomée
Vidar Thomée was professor of mathematics at Chalmers 1965-98. His main mathematical interest has been mathematical analysis of numerical methods for the solution of partial differential equations, first finite difference methods and from around 1970 finite element methods, particularly for parabolic equations. In these areas he has considered stability problems and error estimates within various function spaces.
Vidar Thomée is member of the Royal Swedish Academy of Sciences, working member of the Society of Arts and Sciences in Gothenburg, foreign member of the Bulgarian Academy of Sciences, and Fellow of the American Mathematical Society. He is honorary professor at Hunan Normal University, China, docteur honoris causa at University of Rennes I, France, and honorary fellow of Institute for Computional and Applied Mathematics, FORTH, Heraklion, Greece.
Showing 37 publications
A finite element splitting method for a convection-diffusion problem
A First-Order Explicit-Implicit Splitting Method for a Convection-Diffusion Problem
An Explicit-Implicit Splitting Method for a Convection-Diffusion Problem
On nonnegativity preservation in finite element methods for subdiffusion equations
On positivity preservation in some finite element methods for the heat equation
On Preservation of Positivity in Some Finite Element Methods for the Heat Equation
Finite difference methods for the heat equation with a nonlocal boundary condition
Some error estimates for the finite volume element method for a parabolic problem
Some error estimates for the lumped mass finite element method for a parabolic problem
NUMERICAL SOLUTION VIA LAPLACE TRANSFORMS OF A FRACTIONAL ORDER EVOLUTION EQUATION
On positivity and maximum-norm contractivity in time stepping methods for parabolic equations
Parabolic finite volume element equations in nonconvex polygonal domains
On the existence of maximum principles in parabolic finite element equations
Maximum-norm stability, smoothing and resolvent estimates for parabolic finite element equations
Time discretization via Laplace transformation of an integro-differential equation of parabolic type
Parabolic finite element equations in nonconvex polygonal domains
Time discretization of an evolution equation via Laplace transforms
Maximum-norm estimates for finite-element methods for a strongly damped wave equation
Maximum-norm estimates for resolvents of elliptic finite element operators
Backward euler type methods for parabolic integro-differential equations in Banach space
The stability of rational approximations of analytic semigroups
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