Anton Arnold
Impact in
- Numerical Analysis top 0.5%
- Numerical methods for differential equations
- Differential Equations and Numerical Methods
- Applied Mathematics top 0.5%
- Gas Dynamics and Kinetic Theory
- Geometric Analysis and Curvature Flows
- Nonlinear Partial Differential Equations
Papers in
-
- Gas Dynamics and Kinetic Theory 38
- Geometric Analysis and Curvature Flows 13
-
- Differential Equations and Numerical Methods 24
- Numerical methods for differential equations 22
- Co-authors
- Peter A. Markowich (12 shared papers)Matthias Ehrhardt (9 shared papers)Giuseppe Toscani (6 shared papers)Andreas Unterreiter (4 shared papers)Ivan L'vovich Sofronov (3 shared papers)Norbert J. Mauser (3 shared papers)Xavier Antoine (2 shared papers)Christophe Besse (2 shared papers)
- Journals
- Mathematical Models and Methods in Applied Sciences (5 papers)Communications in Mathematical Sciences (5 papers)Journal of Computational Physics (4 papers)SIAM Journal on Numerical Analysis (3 papers)Journal of Mathematical Analysis and Applications (3 papers)
- Partner nations
- AustriaGermanyUnited States
In The Last Decade
Anton Arnold
94 papers receiving 2.2k citations
Peers
Comparison fields: 5 of 51
- Numerical Analysis 652
- Applied Mathematics 1k
- Mathematical Physics 521
- Computational Mechanics 481
- Statistical and Nonlinear Physics 227
Countries citing papers authored by Anton Arnold
This map shows the geographic impact of Anton Arnold'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 Anton Arnold with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Anton Arnold more than expected).
Fields of papers citing papers by Anton Arnold
This network shows the impact of papers produced by Anton Arnold. 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 Anton Arnold. The network helps show where Anton Arnold may publish in the future.
Co-authors
The 25 scholars most cited alongside Anton Arnold, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 101 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2001 | 307 | |
| 2 | 2008 | 201 | |
| 3 | 2003 | 149 | |
| 4 | 1998 | 137 | |
| 5 | 1989 | 73 | |
| 6 | 1998 | 68 | |
| 7 | 2000 | 60 | |
| 8 | 2001 | 55 | |
| 9 | 2004 | 54 | |
| 10 | 1996 | 53 | |
| 11 | 2000 | 51 | |
| 12 | 2000 | 50 | |
| 13 | 2000 | 49 | |
| 14 | 2004 | 48 | |
| 15 | 1996 | 47 | |
| 16 | 2013 | 43 | |
| 17 | 2004 | 41 | |
| 18 | 2012 | 40 | |
| 19 | 2005 | 35 | |
| 20 | 2011 | 33 |
About Anton Arnold
Anton Arnold is a scholar working on Applied Mathematics, Numerical Analysis, Mathematical Physics, Computational Mechanics and Control and Systems Engineering, having authored 101 papers that have together received 2.4k indexed citations. Recurring topics across this work include Gas Dynamics and Kinetic Theory (38 papers), Differential Equations and Numerical Methods (24 papers), Numerical methods for differential equations (22 papers), Spectral Theory in Mathematical Physics (16 papers), Advanced Numerical Methods in Computational Mathematics (16 papers), Advanced Mathematical Physics Problems (14 papers), Stability and Controllability of Differential Equations (14 papers) and Geometric Analysis and Curvature Flows (13 papers). The work is most often cited by research in Numerical Analysis (652 citations), Applied Mathematics (1k citations), Mathematical Physics (521 citations), Computational Mechanics (481 citations) and Statistical and Nonlinear Physics (227 citations). Anton Arnold has collaborated with scholars based in Austria, Germany and United States. Frequent co-authors include Peter A. Markowich, Matthias Ehrhardt, Giuseppe Toscani, Andreas Unterreiter, Ivan L'vovich Sofronov, Norbert J. Mauser, Xavier Antoine, Christophe Besse, Jean Dolbeault A and Christian A. Ringhofer. Their work appears in journals such as Mathematical Models and Methods in Applied Sciences, Communications in Mathematical Sciences, Journal of Computational Physics, SIAM Journal on Numerical Analysis and Journal of Mathematical Analysis and Applications.
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.