Vidar Thomée

11.8k total citations · 3 hit papers
138 papers, 8.4k citations indexed

About

Vidar Thomée is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, Vidar Thomée has authored 138 papers receiving a total of 8.4k indexed citations (citations by other indexed papers that have themselves been cited), including 81 papers in Numerical Analysis, 80 papers in Computational Mechanics and 78 papers in Computational Theory and Mathematics. Recurrent topics in Vidar Thomée's work include Advanced Numerical Methods in Computational Mathematics (79 papers), Advanced Mathematical Modeling in Engineering (74 papers) and Differential Equations and Numerical Methods (66 papers). Vidar Thomée is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (79 papers), Advanced Mathematical Modeling in Engineering (74 papers) and Differential Equations and Numerical Methods (66 papers). Vidar Thomée collaborates with scholars based in Sweden, United States and Australia. Vidar Thomée's co-authors include Rolf Rannacher, Lars B. Wahlbin, V. S. Vladimirov, William McLean, Stig Larsson, Claes Johnson, Ian H. Sloan, Michel Crouzeix, James H. Bramble and Philip Brenner and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Communications on Pure and Applied Mathematics.

In The Last Decade

Vidar Thomée

134 papers receiving 7.0k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Galerkin Finite Element Methods for Parabolic Problems

1985 1.7k citations Vidar Thomée et al. Mathematics of Computation profile →
Equations of Mathematical Physics

1972 730 citations Vidar Thomée et al. Mathematics of Computation profile →
Galerkin Finite Element Methods for Parabolic Problems

1997 654 citations Vidar Thomée profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Vidar Thomée Sweden	45	4.6k	3.7k	3.1k	2.2k	1.4k	138	8.4k
Claudio Canuto Italy	28	5.3k 1.2×	2.8k 0.7×	1.4k 0.5×	1.7k 0.8×	1.7k 1.2×	113	10.8k
Rolf Rannacher Germany	38	7.0k 1.5×	2.4k 0.6×	3.1k 1.0×	2.5k 1.1×	493 0.3×	109	9.2k
Lars B. Wahlbin United States	37	2.9k 0.6×	1.7k 0.5×	2.0k 0.6×	2.0k 0.9×	531 0.4×	68	6.4k
Jim Douglas United States	50	7.8k 1.7×	2.8k 0.7×	3.7k 1.2×	3.5k 1.6×	359 0.3×	143	11.3k
Thomas A. Zang United States	27	4.5k 1.0×	1.9k 0.5×	907 0.3×	874 0.4×	1.2k 0.8×	67	8.9k
Tao Tang China	46	3.5k 0.8×	3.5k 0.9×	1.5k 0.5×	976 0.4×	2.2k 1.6×	237	8.0k
James H. Bramble United States	48	7.1k 1.6×	3.2k 0.9×	5.7k 1.8×	3.5k 1.6×	209 0.1×	169	11.2k
Christian Lubich Germany	43	3.4k 0.7×	6.0k 1.6×	2.4k 0.8×	980 0.4×	1.2k 0.8×	126	11.0k
Karl Kunisch Austria	49	4.9k 1.1×	2.4k 0.6×	4.0k 1.3×	1.5k 0.7×	432 0.3×	330	11.4k
Alberto Valli Italy	19	3.2k 0.7×	1.0k 0.3×	1.5k 0.5×	1.3k 0.6×	325 0.2×	59	5.1k

Countries citing papers authored by Vidar Thomée

Since Specialization

Citations

This map shows the geographic impact of Vidar Thomée's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Vidar Thomée with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Vidar Thomée more than expected).

Fields of papers citing papers by Vidar Thomée

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Vidar Thomée. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Vidar Thomée. The network helps show where Vidar Thomée may publish in the future.

Co-authorship network of co-authors of Vidar Thomée

This figure shows the co-authorship network connecting the top 25 collaborators of Vidar Thomée. A scholar is included among the top collaborators of Vidar Thomée based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Vidar Thomée. Vidar Thomée is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Thomée, Vidar. (2020). A Finite Element Splitting Method for a Convection-Diffusion Problem. Computational Methods in Applied Mathematics. 20(4). 717–725. 3 indexed citations

Thomée, Vidar. (2005). A high order parallel method for time discretization of parabolic type equations based on Laplace transformation and quadrature. Chalmers Publication Library (Chalmers University of Technology). 18 indexed citations

Thomée, Vidar. (2001). From finite differences to finite elements. Journal of Computational and Applied Mathematics. 128(1-2). 1–54. 56 indexed citations

Schatz, A. H., Vidar Thomée, & Lars B. Wahlbin. (1998). Stability, analyticity, and almost best approximation in maximum norm for parabolic finite element equations. Communications on Pure and Applied Mathematics. 51(1112). 1349–1385. 9 indexed citations

Thomée, Vidar, et al.. (1989). Error estimates for semidiscrete finite element methods for parabolic integro-differential equations. Mathematics of Computation. 53(187). 121–139. 77 indexed citations

Crouzeix, Michel & Vidar Thomée. (1987). On the Discretization in Time of Semilinear Parabolic Equations with Nonsmooth Initial Data. Mathematics of Computation. 49(180). 359–359. 14 indexed citations

Crouzeix, Michel & Vidar Thomée. (1987). On the discretization in time of semilinear parabolic equations with nonsmooth initial data. Mathematics of Computation. 49(180). 359–377. 33 indexed citations

Crouzeix, Michel & Vidar Thomée. (1987). The stability in $L\sb p$ and $W\sp 1\sb p$ of the $L\sb 2$-projection onto finite element function spaces. Mathematics of Computation. 48(178). 521–521. 127 indexed citations

Eriksson, Kenneth, Claes Johnson, & Vidar Thomée. (1985). Time discretization of parabolic problems by the discontinuous Galerkin method. ESAIM Mathematical Modelling and Numerical Analysis. 19(4). 611–643. 141 indexed citations

10.

Eriksson, Kenneth & Vidar Thomée. (1984). Galerkin methods for singular boundary value problems in one space dimension. Mathematics of Computation. 42(166). 345–367. 31 indexed citations

11.

Arnold, Douglas N., Jim Douglas, & Vidar Thomée. (1981). Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable. Mathematics of Computation. 36(153). 53–63. 82 indexed citations

12.

Arnold, Douglas N., Jim Douglas, & Vidar Thomée. (1981). Superconvergence of a Finite Element Approximation to the Solution of a Sobolev Equation in a Single Space Variable. Mathematics of Computation. 36(153). 53–53. 8 indexed citations

13.

Brenner, Philip & Vidar Thomée. (1979). On Rational Approximations of Semigroups. SIAM Journal on Numerical Analysis. 16(4). 683–694. 111 indexed citations

14.

Baker, Garth A., James H. Bramble, & Vidar Thomée. (1977). Single step Galerkin approximations for parabolic problems. Mathematics of Computation. 31(140). 818–847. 69 indexed citations

15.

Baker, Garth A., James H. Bramble, & Vidar Thomée. (1977). Single Step Galerkin Approximations for Parabolic Problems. Mathematics of Computation. 31(140). 818–818. 26 indexed citations

16.

Thomée, Vidar. (1977). High order local approximations to derivatives in the finite element method. Mathematics of Computation. 31(139). 652–660. 65 indexed citations

17.

Johnson, Claes & Vidar Thomée. (1975). Error estimates for a finite element approximation of a minimal surface. Mathematics of Computation. 29(130). 343–349. 37 indexed citations

18.

Thomée, Vidar. (1971). Some convergence results in elliptic difference equations. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 323(1553). 191–199. 1 indexed citations

19.

Bramble, James H., B. E. Hubbard, & Vidar Thomée. (1969). Convergence estimates for essentially positive type discrete Dirichlet problems. Mathematics of Computation. 23(108). 695–709. 37 indexed citations

20.

Thomée, Vidar. (1965). Stability of difference schemes in the maximum-norm. Journal of Differential Equations. 1(3). 273–292. 43 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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