Arne Marthinsen

513 total citations
16 papers, 334 citations indexed

About

Arne Marthinsen is a scholar working on Numerical Analysis, Computational Mechanics and Statistical and Nonlinear Physics. According to data from OpenAlex, Arne Marthinsen has authored 16 papers receiving a total of 334 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Numerical Analysis, 8 papers in Computational Mechanics and 6 papers in Statistical and Nonlinear Physics. Recurrent topics in Arne Marthinsen's work include Numerical methods for differential equations (16 papers), Advanced Numerical Methods in Computational Mathematics (7 papers) and Electromagnetic Simulation and Numerical Methods (6 papers). Arne Marthinsen is often cited by papers focused on Numerical methods for differential equations (16 papers), Advanced Numerical Methods in Computational Mathematics (7 papers) and Electromagnetic Simulation and Numerical Methods (6 papers). Arne Marthinsen collaborates with scholars based in Norway, Russia and United Kingdom. Arne Marthinsen's co-authors include Brynjulf Owren, Elena Celledoni, Syvert P. Nørsett, Arieh Iserles, Hans Munthe–Kaas, Z. Jackiewicz and Kenth Engø‐Monsen and has published in prestigious journals such as SIAM Journal on Numerical Analysis, Future Generation Computer Systems and Numerische Mathematik.

In The Last Decade

Arne Marthinsen

16 papers receiving 291 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Arne Marthinsen Norway 11 226 134 96 80 70 16 334
Kjell Gustafsson Sweden 7 316 1.4× 268 2.0× 71 0.7× 64 0.8× 117 1.7× 16 513
R. Seydel Germany 11 142 0.6× 85 0.6× 114 1.2× 71 0.9× 88 1.3× 14 458
S. H. Lui Canada 14 126 0.6× 234 1.7× 47 0.5× 32 0.4× 170 2.4× 38 428
Chang‐Yeol Jung South Korea 13 267 1.2× 263 2.0× 65 0.7× 29 0.4× 229 3.3× 64 525
Nicolas Robidoux United States 7 317 1.4× 210 1.6× 143 1.5× 54 0.7× 119 1.7× 12 504
V. A. Trenogin Russia 6 127 0.6× 60 0.4× 63 0.7× 48 0.6× 120 1.7× 19 447
Patrick Kürschner Germany 12 143 0.6× 129 1.0× 279 2.9× 85 1.1× 130 1.9× 27 379
Sergey Pekarsky United States 7 147 0.7× 97 0.7× 144 1.5× 90 1.1× 21 0.3× 8 319
Ninoslav Truhar Croatia 11 176 0.8× 69 0.5× 178 1.9× 78 1.0× 252 3.6× 39 422
J. W. Neuberger United States 12 90 0.4× 128 1.0× 60 0.6× 28 0.3× 151 2.2× 64 474

Countries citing papers authored by Arne Marthinsen

Since Specialization
Citations

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

Fields of papers citing papers by Arne Marthinsen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arne Marthinsen

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

All Works

16 of 16 papers shown
1.
Celledoni, Elena, Arne Marthinsen, & Brynjulf Owren. (2003). Commutator-free Lie group methods. Future Generation Computer Systems. 19(3). 341–352. 66 indexed citations
2.
Marthinsen, Arne, et al.. (2001). Multistep methods integrating ordinary differential equations on manifolds. Applied Numerical Mathematics. 39(3-4). 349–365. 14 indexed citations
3.
Marthinsen, Arne & Brynjulf Owren. (2001). Quadrature methods based on the Cayley transform. Applied Numerical Mathematics. 39(3-4). 403–413. 10 indexed citations
4.
Owren, Brynjulf & Arne Marthinsen. (2001). Integration methods based on canonical coordinates of the second kind. Numerische Mathematik. 87(4). 763–790. 25 indexed citations
5.
Engø‐Monsen, Kenth, Arne Marthinsen, & Hans Munthe–Kaas. (2001). DiffMan: An object-oriented MATLAB toolbox for solving differential equations on manifolds. Applied Numerical Mathematics. 39(3-4). 323–347. 6 indexed citations
6.
Marthinsen, Arne & Brynjulf Owren. (2001). A Note on the Construction of Crouch-Grossman Methods. BIT Numerical Mathematics. 41(1). 207–214. 6 indexed citations
7.
Marthinsen, Arne, et al.. (2001). A Note on the Numerical Solution of the Heavy Top Equations. Multibody System Dynamics. 5(4). 387–397. 10 indexed citations
8.
Jackiewicz, Z., Arne Marthinsen, & Brynjulf Owren. (2000). Construction of Runge–Kutta methods of Crouch–Grossman type of high order. Advances in Computational Mathematics. 13(4). 405–415. 17 indexed citations
9.
Iserles, Arieh, Arne Marthinsen, & Syvert P. Nørsett. (1999). On the Implementation of the Method of Magnus Series for Linear Differential Equations. BIT Numerical Mathematics. 39(2). 281–304. 62 indexed citations
10.
Owren, Brynjulf & Arne Marthinsen. (1999). Runge-Kutta Methods Adapted to Manifolds and Based on Rigid Frames. BIT Numerical Mathematics. 39(1). 116–142. 56 indexed citations
11.
Marthinsen, Arne. (1999). Interpolation in Lie Groups. SIAM Journal on Numerical Analysis. 37(1). 269–285. 20 indexed citations
12.
Marthinsen, Arne, et al.. (1998). Modeling and Solution of Some Mechanical Problems on Lie Groups. Multibody System Dynamics. 2(1). 71–88. 15 indexed citations
13.
Engø‐Monsen, Kenth & Arne Marthinsen. (1998). Application of Geometric Integration to some Mechanical Problems. 2 indexed citations
14.
Owren, Brynjulf & Arne Marthinsen. (1997). Integration Methods Based on Rigid Frames. CERN Document Server (European Organization for Nuclear Research). 2 indexed citations
15.
Marthinsen, Arne, Hans Munthe–Kaas, & Brynjulf Owren. (1997). Simulation of ordinary differential equations on manifolds: some numerical experiments and verifications. Modeling Identification and Control A Norwegian Research Bulletin. 18(1). 75–88. 19 indexed citations
16.
Marthinsen, Arne. (1996). Continuous extensions to Nyström methods for second order initial value problems. BIT Numerical Mathematics. 36(2). 309–332. 4 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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