S. Thompson

1.8k total citations · 1 hit paper
31 papers, 1.3k citations indexed

About

S. Thompson is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, S. Thompson has authored 31 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Numerical Analysis, 11 papers in Computational Mechanics and 10 papers in Computational Theory and Mathematics. Recurrent topics in S. Thompson's work include Numerical methods for differential equations (21 papers), Advanced Numerical Methods in Computational Mathematics (7 papers) and Differential Equations and Numerical Methods (7 papers). S. Thompson is often cited by papers focused on Numerical methods for differential equations (21 papers), Advanced Numerical Methods in Computational Mathematics (7 papers) and Differential Equations and Numerical Methods (7 papers). S. Thompson collaborates with scholars based in United States, New Zealand and United Kingdom. S. Thompson's co-authors include L. F. Shampine, I. Gladwell, George D. Byrne, Steven M. White, William E. Schiesser, P. Saucez, Alain Vande Wouwer, Raymond H. Plaut, David K. Kahaner and Burkhard C. Wünsche and has published in prestigious journals such as Journal of Sound and Vibration, Review of Scientific Instruments and Applied Mathematics and Computation.

In The Last Decade

S. Thompson

29 papers receiving 1.3k citations

Hit Papers

Solving ODEs with MATLAB 2003 2026 2010 2018 2003 200 400 600
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.

  1. Solving ODEs with MATLAB
    2003 624 citations L. F. Shampine, S. Thompson et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
S. Thompson United States 10 372 371 325 301 164 31 1.3k
I. Gladwell United States 22 803 2.2× 420 1.1× 409 1.3× 650 2.2× 145 0.9× 87 1.9k
Rüdiger Seydel Germany 12 272 0.7× 107 0.3× 170 0.5× 208 0.7× 435 2.7× 21 1.7k
Ping Lin China 26 1.2k 3.1× 517 1.4× 447 1.4× 130 0.4× 69 0.4× 132 2.3k
T. Tran‐Cong Australia 25 1.0k 2.8× 328 0.9× 227 0.7× 201 0.7× 129 0.8× 141 2.4k
Hafiz Abdul Wahab Pakistan 24 571 1.5× 791 2.1× 613 1.9× 151 0.5× 118 0.7× 83 1.7k
James Geer United States 18 273 0.7× 93 0.3× 223 0.7× 114 0.4× 57 0.3× 70 938
William M. D. Wright Ireland 25 250 0.7× 432 1.2× 230 0.7× 345 1.1× 57 0.3× 92 1.5k
J. M. T. Thompson United Kingdom 25 200 0.5× 350 0.9× 608 1.9× 83 0.3× 673 4.1× 64 2.7k
Martin Weiser Germany 19 261 0.7× 151 0.4× 163 0.5× 237 0.8× 47 0.3× 106 1.1k
W. Stadler United States 11 115 0.3× 104 0.3× 139 0.4× 168 0.6× 386 2.4× 31 1.4k

Countries citing papers authored by S. Thompson

Since Specialization
Citations

This map shows the geographic impact of S. Thompson'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 S. Thompson with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites S. Thompson more than expected).

Fields of papers citing papers by S. Thompson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by S. Thompson. 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 S. Thompson. The network helps show where S. Thompson may publish in the future.

Co-authorship network of co-authors of S. Thompson

This figure shows the co-authorship network connecting the top 25 collaborators of S. Thompson. A scholar is included among the top collaborators of S. Thompson 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 S. Thompson. S. Thompson is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Wüensche, Burkhard, et al.. (2025). Leveling up Learning: Serious Games for Computing Education - Long-Term Opportunities and Risks. Lincoln University Research Archive (Lincoln University). 134–143. 1 indexed citations
2.
3.
Thompson, S., et al.. (2008). Advancing Information Technology in the Waste Management World. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 1 indexed citations
4.
Thompson, S., et al.. (2008). Solving ODEs and DDEs with Impulses 1. 3. 139–149. 19 indexed citations
5.
Shampine, L. F. & S. Thompson. (2007). Moving averages of solutions of ODEs. Applied Mathematics and Computation. 193(1). 175–182.
6.
Wouwer, Alain Vande, P. Saucez, William E. Schiesser, & S. Thompson. (2005). A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines. Journal of Computational and Applied Mathematics. 183(2). 245–258. 19 indexed citations
7.
Shampine, L. F., et al.. (2005). Non-negative solutions of ODEs. Applied Mathematics and Computation. 170(1). 556–569. 37 indexed citations
8.
Thompson, S. & L. F. Shampine. (2005). A friendly Fortran DDE solver. Applied Numerical Mathematics. 56(3-4). 503–516. 37 indexed citations
9.
Shampine, L. F. & S. Thompson. (2000). Event location for ordinary differential equations. Computers & Mathematics with Applications. 39(5-6). 43–54. 73 indexed citations
10.
Thompson, S., et al.. (1996). Error estimation and step size control for delay differential equation solvers based on continuously embedded Runge-Kutta-Sarafyan methods. Computers & Mathematics with Applications. 31(6). 1–11. 14 indexed citations
11.
Kahaner, David K., Esmond Ng, William E. Schiesser, & S. Thompson. (1991). Experiments with an ordinary differential equation solver in the parallel solution of method of lines problems on a shared-memory parallel computer. Journal of Computational and Applied Mathematics. 38(1-3). 231–253. 1 indexed citations
12.
Kahaner, David K., et al.. (1989). On the use of rootfinding ODE software for the solution of a common problem in nonlinear dynamical systems. Journal of Computational and Applied Mathematics. 28. 219–230. 4 indexed citations
13.
Thompson, S.. (1986). Remarks on the choice of a stiff ordinary differential equation solver for the solution of fluid flow problems. NASA STI/Recon Technical Report N. 86. 31028. 1 indexed citations
14.
Thompson, S.. (1986). Remarks on the choice of a stiff ordinary differential equation solver. Computers & Mathematics with Applications. 12(11). 1125–1141. 2 indexed citations
15.
Thompson, S.. (1986). The effect of partial pivoting in sparse ordinary differential equation solvers. Computers & Mathematics with Applications. 12(12). 1183–1191. 2 indexed citations
16.
Thompson, S., et al.. (1986). Benchmark fluid flow problems for continuous simulation languages. Computers & Mathematics with Applications. 12(3). 345–351. 3 indexed citations
17.
Thompson, S.. (1985). Rootfinding and interpolation with Runge-Kutta-Sarafyan methods. 2(3). 207–218. 4 indexed citations
18.
Thompson, S.. (1982). Stiffly stable fourth order Adams-type methods. Journal of Computational and Applied Mathematics. 8(4). 253–256. 4 indexed citations
19.
Thompson, S., et al.. (1981). A note on the relative efficiency of Adams methods. Computers & Mathematics with Applications. 7(5). 401–403. 1 indexed citations
20.
Thompson, S., et al.. (1979). Low-order A0-stable Adams-type correctors. Journal of Computational and Applied Mathematics. 5(3). 225–233. 5 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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