Vidar Thomee

Professor emeritus at Chalmers, Mathematical Sciences

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.

Source: chalmers.se

Showing 35 publications

2019

An Explicit-Implicit Splitting Method for a Convection-Diffusion Problem

Vidar Thomee, A. S. Vasudeva Murthy
Computational Methods in Applied Mathematics. Vol. 19 (2), p. 283-293
Journal article
2018

On nonnegativity preservation in finite element methods for the heat equation with non-Dirichlet boundary conditions

Stig Larsson, Vidar Thomee
Contemporary Computational Mathematics - a celebration of the 80th birthday of Ian Sloan
Book chapter
2017

On nonnegativity preservation in finite element methods for subdiffusion equations

Bangti Jin, R. D. Lazarov, Vidar Thomee et al
Mathematics of Computation. Vol. 86 (307), p. 2239-2260
Journal article
2015

On Preservation of Positivity in Some Finite Element Methods for the Heat Equation

P Chatzipantelidis, Z. Horvath, Vidar Thomee
Computational Methods in Applied Mathematics. Vol. 15 (4), p. 417-437
Journal article
2015

On positivity preservation in some finite element methods for the heat equation

Vidar Thomee
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), p. 13-24
Book chapter
2015

Finite difference methods for the heat equation with a nonlocal boundary condition

Vidar Thomee, A. S. Vasudeva Murthy
Journal of Computational Mathematics. Vol. 33 (1), p. 17-32
Journal article
2013

Some error estimates for the finite volume element method for a parabolic problem

P Chatzipantelidis, R. D. Lazarov, Vidar Thomee
Computational Methods in Applied Mathematics. Vol. 13 (3), p. 251-279
Journal article
2012

Some error estimates for the lumped mass finite element method for a parabolic problem

P Chatzipantelidis, R. D. Lazarov, Vidar Thomee
Mathematics of Computation. Vol. 81 (277), p. 1-20
Journal article
2010

On positivity and maximum-norm contractivity in time stepping methods for parabolic equations

A. H. Schatz, Vidar Thomee, L. B. Wahlbin
Computational Methods in Applied Mathematics. Vol. 10 (4), p. 421-443
Journal article
2010

NUMERICAL SOLUTION VIA LAPLACE TRANSFORMS OF A FRACTIONAL ORDER EVOLUTION EQUATION

William McLean, Vidar Thomee
Journal of Integral Equations and Applications. Vol. 22 (1), p. 57-94
Journal article
2010

Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation

William McLean, Vidar Thomee
IMA Journal of Numerical Analysis. Vol. 30 (1), p. 208-230
Journal article
2009

Parabolic finite volume element equations in nonconvex polygonal domains

P Chatzipantelidis, R. D. Lazarov, Vidar Thomee
Numerical Methods for Partial Differential Equations. Vol. 25 (3), p. 507-525
Journal article
2008

On the existence of maximum principles in parabolic finite element equations

Vidar Thomee, L. B. Wahlbin
Mathematics of Computation. Vol. 77 (261), p. 11-19
Journal article
2007

Maximum-norm stability, smoothing and resolvent estimates for parabolic finite element equations

Vidar Thomee
ESAIM Proceedings. Vol. 21, p. 98-107
Journal article
2006

Time discretization via Laplace transformation of an integro-differential equation of parabolic type

William McLean, Ian Sloan, Vidar Thomee
Numerische Mathematik. Vol. 102 (3), p. 497-522
Journal article
2006

Parabolic finite element equations in nonconvex polygonal domains

P Chatzipantelidis, R. D. Lazarov, Vidar Thomee et al
BIT Numerical Mathematics. Vol. 46, p. 113 - 143
Journal article
2006

Maximum-norm resolvent estimates for elliptic finite element operators on nonquasiuniform triangulations

Vidar Thomee, Nikolai Yu. Bakaev, Michel Crouzeix
Mathematical Modelling and Numerical Analysis. Vol. 40 (5), p. 923-937
Journal article
2004

Time discretization of an evolution equation via Laplace transforms

William McLean, Vidar Thomee
IMA Journal of Numerical Analysis. Vol. 24 (3), p. 439-463
Journal article
2004

Maximum-norm estimates for finite-element methods for a strongly damped wave equation

Vidar Thomee, LB Wahlbin
BIT (Copenhagen). Vol. 44 (1), p. 165-179
Journal article
2004

Error estimates for a finite volume element method for parabolic equations in convex polygonal domains

P Chatzipantelidis, R. D. Lazarov, Vidar Thomee
Numerical Methods for Partial Differential Equations. Vol. 20 (5), p. 650-674
Journal article
2003

Partial differential equations with numerical methods

Stig Larsson, Vidar Thomee
Book
2001

Maximum-norm estimates for resolvents of elliptic finite element operators

Nikolai Yu. Bakaev, Vidar Thomee, Lars B. Wahlbin
Preprint
2000

A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature

D Sheen, I. H. Sloan, Vidar Thomee
Mathematics of Computation. Vol. 69 (229), p. 177-195
Journal article
1998

Stability, analyticity, and almost best approximation in maximum norm for parabolic finite element equations

A. H. Schatz, Vidar Thomee, L. B. Wahlbin
Communications on Pure and Applied Mathematics. Vol. 51 (11-12), p. 1349-1385
Journal article
1997

A numerical method for the Benjamin-Ono equation

Vidar Thomee, A. S. Vasudeva Murthy
Preprint
1996

Backward euler type methods for parabolic integro-differential equations in Banach space

Nikolai Yu. Bakaev, Stig Larsson, Vidar Thomee
Preprint
1993

The stability of rational approximations of analytic semigroups

Michel Crouzeix, Stig Larsson, Sergei Piskarev et al
BIT (Copenhagen). Vol. 33 (1), p. 74-84
Journal article

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