Axel Klar

5.7k total citations
168 papers, 3.9k citations indexed

About

Axel Klar is a scholar working on Computational Mechanics, Applied Mathematics and Control and Systems Engineering. According to data from OpenAlex, Axel Klar has authored 168 papers receiving a total of 3.9k indexed citations (citations by other indexed papers that have themselves been cited), including 80 papers in Computational Mechanics, 57 papers in Applied Mathematics and 45 papers in Control and Systems Engineering. Recurrent topics in Axel Klar's work include Gas Dynamics and Kinetic Theory (51 papers), Traffic control and management (42 papers) and Transportation Planning and Optimization (28 papers). Axel Klar is often cited by papers focused on Gas Dynamics and Kinetic Theory (51 papers), Traffic control and management (42 papers) and Transportation Planning and Optimization (28 papers). Axel Klar collaborates with scholars based in Germany, France and Italy. Axel Klar's co-authors include Raimund Wegener, Michaël Herty, Michael Junk, Mohammed Seaı̈d, Li‐Shi Luo, Simone Göttlich, M. Rascle, Mapundi K. Banda, Guido Thömmes and Martin Frank and has published in prestigious journals such as Journal of Fluid Mechanics, Journal of Computational Physics and Mathematics of Computation.

In The Last Decade

Axel Klar

163 papers receiving 3.5k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Axel Klar Germany 36 1.9k 1.3k 1.1k 781 582 168 3.9k
Dietrich Braess Germany 32 2.5k 1.3× 376 0.3× 312 0.3× 513 0.7× 92 0.2× 118 4.8k
C. Vuik Netherlands 34 2.1k 1.1× 304 0.2× 116 0.1× 153 0.2× 290 0.5× 312 4.7k
Carsten Burstedde United States 18 769 0.4× 667 0.5× 36 0.0× 501 0.6× 1.3k 2.2× 32 3.1k
J. Frédéric Bonnans France 26 1.0k 0.6× 995 0.8× 489 0.4× 39 0.0× 109 0.2× 119 4.9k
Richard W. Cottle United States 25 332 0.2× 876 0.7× 240 0.2× 197 0.3× 72 0.1× 58 4.7k
Hitoshi Ishii Japan 35 565 0.3× 934 0.7× 3.4k 3.0× 37 0.0× 49 0.1× 217 7.4k
Rafael Vázquez Spain 30 441 0.2× 2.1k 1.6× 123 0.1× 34 0.0× 63 0.1× 154 3.2k
Mihailo R. Jovanović United States 29 1.7k 0.9× 1.2k 0.9× 45 0.0× 105 0.1× 88 0.2× 187 3.7k
Jacques Périaux France 33 3.2k 1.8× 363 0.3× 222 0.2× 13 0.0× 343 0.6× 169 5.0k
Bassam Bamieh United States 31 729 0.4× 2.6k 2.0× 62 0.1× 78 0.1× 72 0.1× 171 4.6k

Countries citing papers authored by Axel Klar

Since Specialization
Citations

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

Fields of papers citing papers by Axel Klar

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Axel Klar

This figure shows the co-authorship network connecting the top 25 collaborators of Axel Klar. A scholar is included among the top collaborators of Axel Klar 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 Axel Klar. Axel Klar 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.
Borsche, Raul & Axel Klar. (2024). A Hierarchy of Kinetic Discrete-Velocity Models for Traffic Flow Derived from a Nonlocal Prigogine–Herman Model. SIAM Journal on Applied Mathematics. 84(1). 139–164. 1 indexed citations
2.
Borsche, Raul & Axel Klar. (2024). Moment methods for kinetic traffic flow and a class of macroscopic traffic models. Mathematical Models and Methods in Applied Sciences. 34(6). 1077–1105. 2 indexed citations
3.
Klar, Axel, et al.. (2023). A numerical investigation of pedestrian dynamics based on rational behaviour in different density scenarios. Physica A Statistical Mechanics and its Applications. 624. 128933–128933. 2 indexed citations
4.
Tiwari, Sudarshan & Axel Klar. (2023). A mesh-free particle method for continuum modelling of granular flow. Journal of Computational and Applied Mathematics. 438. 115529–115529. 1 indexed citations
5.
Tiwari, Sudarshan, et al.. (2020). Interaction of rigid body motion and rarefied gas dynamics based on the BGK model. Mathematics in Engineering. 2(2). 203–229. 8 indexed citations
6.
Klar, Axel & Sudarshan Tiwari. (2019). A Multiscale Particle Method for Mean Field Equations. Fraunhofer-Publica (Fraunhofer-Gesellschaft). 1 indexed citations
7.
Klar, Axel, et al.. (2017). Particle methods for multi-group pedestrian flow. Applied Mathematical Modelling. 53. 447–461. 16 indexed citations
8.
Hardt, Steffen, et al.. (2014). Particle orientation during thermophoretic transport in a gas phase. Bulletin of the American Physical Society. 1 indexed citations
9.
Ambrosio, Luigi, Alberto Bressan, Dirk Helbing, et al.. (2013). Modelling and optimisation of flows on networks : Cetraro, Italy 2009. Springer eBooks. 8 indexed citations
10.
Klar, Axel, et al.. (2012). A smooth 3D model for fiber lay-down in nonwoven production processes. Kinetic and Related Models. 5(1). 97–112. 9 indexed citations
11.
Borsche, Raul, Mark Kimathi, & Axel Klar. (2012). A class of multi-phase traffic theories for microscopic, kinetic and continuum traffic models. Computers & Mathematics with Applications. 64(9). 2939–2953. 29 indexed citations
12.
Tiwari, Sudarshan, et al.. (2011). Momentum and mass fluxes in a gas confined between periodically structured surfaces at different temperatures. Physical Review E. 84(1). 16304–16304. 31 indexed citations
13.
Degond, Pierre, et al.. (2008). Derivation of a kinetic model from a stochastic particle system. Kinetic and Related Models. 1(4). 557–572. 1 indexed citations
14.
Banda, Mapundi K., Michael Junk, & Axel Klar. (2003). Kinetic derivation of a finite difference scheme for the incompressible Navier–Stokes equation. Journal of Computational and Applied Mathematics. 154(2). 341–354. 4 indexed citations
15.
Dubroca, Bruno & Axel Klar. (2002). Prise en compte d'un fort déséquilibre cinétique par un modèle aux demi-moments. Comptes Rendus Mathématique. 335(8). 699–704. 5 indexed citations
16.
Degond, Pierre & Axel Klar. (2002). A relaxation approximation for transport equations in the diffusive limit. Applied Mathematics Letters. 15(2). 131–135. 1 indexed citations
17.
Illner, Reinhard, Axel Klar, H. Lange, Andreas Unterreiter, & Raimund Wegener. (1999). A Kinetic Model for Vehicular Traffic: Existence of Stationary Solutions. Journal of Mathematical Analysis and Applications. 237(2). 622–643. 10 indexed citations
18.
Klar, Axel, et al.. (1998). An adaptive domain decomposition procedure for Boltzmann and Euler equations. Journal of Computational and Applied Mathematics. 90(2). 223–237. 51 indexed citations
19.
Klar, Axel. (1998). Asymptotic analysis and coupling conditions for kinetic and hydrodynamic equations. Computers & Mathematics with Applications. 35(1-2). 127–137. 1 indexed citations
20.
Klar, Axel. (1994). Domain Decomposition for Kinetic Problems with Nonequilibrium States. European Journal of Mechanics - B/Fluids. 15(2). 203–216. 14 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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2026