Hans Munthe–Kaas

2.8k total citations · 1 hit paper
43 papers, 1.5k citations indexed

About

Hans Munthe–Kaas is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, Hans Munthe–Kaas has authored 43 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Numerical Analysis, 18 papers in Computational Theory and Mathematics and 15 papers in Computational Mechanics. Recurrent topics in Hans Munthe–Kaas's work include Numerical methods for differential equations (26 papers), Advanced Numerical Methods in Computational Mathematics (14 papers) and Advanced Topics in Algebra (14 papers). Hans Munthe–Kaas is often cited by papers focused on Numerical methods for differential equations (26 papers), Advanced Numerical Methods in Computational Mathematics (14 papers) and Advanced Topics in Algebra (14 papers). Hans Munthe–Kaas collaborates with scholars based in Norway, France and Australia. Hans Munthe–Kaas's co-authors include Antonella Zanna, Arieh Iserles, Syvert P. Nørsett, Brynjulf Owren, Snorre H. Christiansen, Alexander Selvikvåg Lundervold, William M. D. Wright, Jialin Hong, Arne Marthinsen and G. Quispel and has published in prestigious journals such as SIAM Journal on Numerical Analysis, Lecture notes in mathematics and Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences.

In The Last Decade

Hans Munthe–Kaas

42 papers receiving 1.4k citations

Hit Papers

Lie-group methods 2000 2026 2008 2017 2000 100 200 300 400 500
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. Lie-group methods
    2000 500 citations Arieh Iserles, Hans Munthe–Kaas et al. Acta Numerica profile →

Peers

Hans Munthe–Kaas
Brynjulf Owren Norway
Marc Van Barel Belgium
Elena Celledoni Norway
Françoise Tisseur United Kingdom
Ren‐Cang Li United States
Antonella Zanna Norway
Moody T. Chu United States
Luca Dieci United States
Gradimir V. Milovanović Serbia
Daniel Kreßner Switzerland
Brynjulf Owren Norway
Hans Munthe–Kaas
Citations per year, relative to Hans Munthe–Kaas Hans Munthe–Kaas (= 1×) peers Brynjulf Owren

Countries citing papers authored by Hans Munthe–Kaas

Since Specialization
Citations

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

Fields of papers citing papers by Hans Munthe–Kaas

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Hans Munthe–Kaas. 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 Hans Munthe–Kaas. The network helps show where Hans Munthe–Kaas may publish in the future.

Co-authorship network of co-authors of Hans Munthe–Kaas

This figure shows the co-authorship network connecting the top 25 collaborators of Hans Munthe–Kaas. A scholar is included among the top collaborators of Hans Munthe–Kaas 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 Hans Munthe–Kaas. Hans Munthe–Kaas 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.
Munthe–Kaas, Hans, et al.. (2024). The Universal Equivariance Properties of Exotic Aromatic B-Series. Foundations of Computational Mathematics. 25(5). 1595–1626.
2.
Munthe–Kaas, Hans, et al.. (2024). Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces. Symmetry Integrability and Geometry Methods and Applications. 3 indexed citations
3.
Munthe–Kaas, Hans. (2024). Geometric integration on symmetric spaces. 11(1). 43–58. 3 indexed citations
4.
McLachlan, Robert I., et al.. (2023). The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. Forum of Mathematics Sigma. 11. 3 indexed citations
5.
Ebrahimi‐Fard, Kurusch, et al.. (2023). Algebraic aspects of connections: From torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials. Journal of Noncommutative Geometry. 19(1). 297–335. 4 indexed citations
6.
Ebrahimi‐Fard, Kurusch, et al.. (2017). Post-Lie algebras and factorization theorems. Journal of Geometry and Physics. 119. 19–33. 9 indexed citations
7.
Munthe–Kaas, Hans, et al.. (2015). Aromatic Butcher Series. Foundations of Computational Mathematics. 16(1). 183–215. 10 indexed citations
8.
Munthe–Kaas, Hans & Alexander Selvikvåg Lundervold. (2013). On Post-Lie Algebras, Lie–Butcher Series and Moving Frames. Foundations of Computational Mathematics. 13(4). 583–613. 46 indexed citations
9.
Munthe–Kaas, Hans & Brynjulf Owren. (2008). Mathematics and Computation, a Contemporary View: The Abel Symposium 2006. Springer eBooks. 130–130. 1 indexed citations
10.
Munthe–Kaas, Hans & William M. D. Wright. (2007). On the Hopf Algebraic Structure of Lie Group Integrators. Foundations of Computational Mathematics. 8(2). 227–257. 35 indexed citations
11.
Munthe–Kaas, Hans, et al.. (2005). Eigenvalues for equivariant matrices. Journal of Computational and Applied Mathematics. 192(1). 89–99. 5 indexed citations
12.
Munthe–Kaas, Hans & Stein Krogstad. (2003). On enumeration problems in Lie–Butcher theory. Future Generation Computer Systems. 19(7). 1197–1205. 7 indexed citations
13.
Zanna, Antonella & Hans Munthe–Kaas. (2002). Generalized Polar Decompositions for the Approximation of the Matrix Exponential. SIAM Journal on Matrix Analysis and Applications. 23(3). 840–862. 27 indexed citations
14.
Munthe–Kaas, Hans, G. Quispel, & Antonella Zanna. (2001). Generalized Polar Decompositions on Lie Groups with Involutive Automorphisms. Foundations of Computational Mathematics. 1(3). 297–324. 22 indexed citations
15.
Zanna, Antonella, Kenth Engø‐Monsen, & Hans Munthe–Kaas. (2001). Adjoint and Selfadjoint Lie-group Methods. BIT Numerical Mathematics. 41(2). 395–421. 22 indexed citations
16.
Marthinsen, Arne, et al.. (2001). Multistep methods integrating ordinary differential equations on manifolds. Applied Numerical Mathematics. 39(3-4). 349–365. 14 indexed citations
17.
Friis, Helmer André, et al.. (2001). Use of coordinate-free numerics in elastic wave simulation. Applied Numerical Mathematics. 39(2). 151–171. 8 indexed citations
18.
Iserles, Arieh, Hans Munthe–Kaas, Syvert P. Nørsett, & Antonella Zanna. (2000). Lie-group methods. Acta Numerica. 9. 215–365. 500 indexed citations breakdown →
19.
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
20.
Munthe–Kaas, Hans. (1995). Lie-Butcher theory for Runge-Kutta methods. BIT Numerical Mathematics. 35(4). 572–587. 65 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Brynjulf Owren Breakdown of academic impact, for papers by Marc Van Barel Breakdown of academic impact, for papers by Elena Celledoni Breakdown of academic impact, for papers by Françoise Tisseur Breakdown of academic impact, for papers by Ren‐Cang Li Breakdown of academic impact, for papers by Antonella Zanna Breakdown of academic impact, for papers by Moody T. Chu Breakdown of academic impact, for papers by Luca Dieci Breakdown of academic impact, for papers by Gradimir V. Milovanović Breakdown of academic impact, for papers by Daniel Kreßner
Rankless by CCL
2026