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- Vidar Thomée

Mathematics

Sweden

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
55
Citations
10,461
151
World Ranking
580
National Ranking
4

2023 - Research.com Mathematics in Sweden Leader Award

2022 - Research.com Mathematics in Sweden Leader Award

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Partial differential equation
- Algebra

Vidar Thomée focuses on Mathematical analysis, Finite element method, Discretization, Galerkin method and Discontinuous Galerkin method. Partial differential equation, Parabolic partial differential equation, Initial value problem, Heat equation and Singular kernel are the primary areas of interest in his Mathematical analysis study. His Finite element method research includes themes of Differential equation, Numerical analysis, Type and Sobolev space.

His Discretization research is multidisciplinary, relying on both Laplace transform, Piecewise linear function, Line integral, Nyström method and Methods of contour integration. His work deals with themes such as Superconvergence, Finite difference, Boundary value problem and Evolution equation, which intersect with Galerkin method. His Discontinuous Galerkin method study combines topics from a wide range of disciplines, such as Numerical methods for ordinary differential equations, Numerical partial differential equations and Alternating direction implicit method.

- Galerkin Finite Element Methods for Parabolic Problems (1770 citations)
- Partial Differential Equations with Numerical Methods (209 citations)
- Time discretization of parabolic problems by the discontinuous Galerkin method (166 citations)

His scientific interests lie mostly in Mathematical analysis, Finite element method, Applied mathematics, Galerkin method and Discretization. His Mathematical analysis and Boundary value problem, Partial differential equation, Parabolic partial differential equation, Numerical analysis and Heat equation investigations all form part of his Mathematical analysis research activities. His Parabolic cylinder function study in the realm of Parabolic partial differential equation interacts with subjects such as Homogeneous differential equation.

His work carried out in the field of Finite element method brings together such families of science as Piecewise linear function, Norm and Backward Euler method. His Galerkin method research is multidisciplinary, incorporating elements of Type, Order and Piecewise. His studies deal with areas such as Space, Iterative method, Laplace transform and Hilbert space as well as Discretization.

- Mathematical analysis (68.63%)
- Finite element method (35.95%)
- Applied mathematics (23.53%)

- Mathematical analysis (68.63%)
- Finite element method (35.95%)
- Applied mathematics (23.53%)

The scientist’s investigation covers issues in Mathematical analysis, Finite element method, Applied mathematics, Heat equation and Discretization. He merges Mathematical analysis with Gauss–Kronrod quadrature formula in his study. The various areas that Vidar Thomée examines in his Finite element method study include Parabolic partial differential equation, Partial differential equation and Backward Euler method.

His Heat equation research incorporates elements of Delaunay triangulation, Galerkin method, Dirichlet boundary condition, Robin boundary condition and Piecewise. His Galerkin method study integrates concerns from other disciplines, such as Piecewise linear function and Calculus. His research integrates issues of Modified Richardson iteration, Laplace transform, Iterative method, Conjugate gradient method and Space in his study of Discretization.

- Numerical solution via Laplace transforms of a fractional order evolution equation (78 citations)
- Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation (48 citations)
- Time discretization via Laplace transformation of an integro-differential equation of parabolic type (45 citations)

- Mathematical analysis
- Partial differential equation
- Algebra

His primary areas of investigation include Finite element method, Mathematical analysis, Heat equation, Discretization and Dirichlet boundary condition. His Finite element method research incorporates themes from Parabolic partial differential equation and Applied mathematics. He is interested in Partial differential equation, which is a field of Mathematical analysis.

His work is dedicated to discovering how Heat equation, Boundary value problem are connected with Domain, Piecewise linear function and Initial value problem and other disciplines. Vidar Thomée combines subjects such as Numerical integration and Laplace transform with his study of Discretization. His biological study deals with issues like Finite volume method, which deal with fields such as Counterexample, Order, Piecewise and Finite volume method for one-dimensional steady state diffusion.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Galerkin Finite Element Methods for Parabolic Problems

Vidar Thomee.

**(1984)**

2916 Citations

Partial Differential Equations with Numerical Methods

Stig Larsson;Vidar Thomée.

**(2003)**

606 Citations

Time discretization of parabolic problems by the discontinuous Galerkin method

Kenneth Eriksson;Claes Johnson;Vidar Thomée.

Mathematical Modelling and Numerical Analysis **(1985)**

279 Citations

Error estimates for some mixed finite element methods for parabolic type problems

Claes Johnson;Vidar Thomee.

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique **(1981)**

249 Citations

Ritz-Volterra projections to finite-element spaces and applications to integrodifferential and related equations

Yanping Lin;Vidar Thomée;Lars B. Wahlbin.

SIAM Journal on Numerical Analysis **(1991)**

237 Citations

Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

Ch. Lubich;I. H. Sloan;V. Thomée.

Mathematics of Computation **(1996)**

215 Citations

Time discretization of an integro-differential equation of parabolic type

I H Sloan;V Thomée.

SIAM Journal on Numerical Analysis **(1986)**

197 Citations

ON RATIONAL APPROXIMATIONS OF SEMIGROUPS

Philip Brenner;Vidar Thomée.

SIAM Journal on Numerical Analysis **(1979)**

195 Citations

Numerical solution of an evolution equation with a positive-type memory term

W. McLean;V. Thomée.

The Journal of The Australian Mathematical Society. Series B. Applied Mathematics **(1993)**

178 Citations

Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations

J. H. Bramble;A. H. Schatz;V. Thomée;L. B. Wahlbin.

SIAM Journal on Numerical Analysis **(1977)**

172 Citations

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