Mark A. Lukas
Impact in
- Mathematical Physics top 5%
- Numerical methods in inverse problems
- Applied Mathematics top 5%
- Statistical and numerical algorithms
Papers in
-
- Statistical and numerical algorithms 11
- Holomorphic and Operator Theory 3
- Differential Equations and Boundary Problems 3
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- Numerical methods in inverse problems 14
- Co-authors
- Frank Bauer (3 shared papers)Robert Anderssen (4 shared papers)Frank de Hoog (4 shared papers)James Alan Cochran (1 shared paper)Jens Knudsen (1 shared paper)Max H. Cake (1 shared paper)Kok Lay Teo (1 shared paper)
- Journals
- Inverse Problems (4 papers)Mathematics of Computation (3 papers)Computational Statistics & Data Analysis (3 papers)Journal of Statistical Planning and Inference (1 paper)Biochemistry (1 paper)
- Partner nations
- AustraliaUnited StatesGermany
In The Last Decade
Mark A. Lukas
29 papers receiving 625 citations
Mark A. Lukas's Hit Papers
Peers
Comparison fields: 5 of 103
- Mathematical Physics 236
- Applied Mathematics 177
- Statistics and Probability 59
- Computational Mechanics 141
- Statistics, Probability and Uncertainty 38
Countries citing papers authored by Mark A. Lukas
This map shows the geographic impact of Mark A. Lukas'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 Mark A. Lukas with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mark A. Lukas more than expected).
Fields of papers citing papers by Mark A. Lukas
This network shows the impact of papers produced by Mark A. Lukas. 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 Mark A. Lukas. The network helps show where Mark A. Lukas may publish in the future.
Co-authors
The 7 scholars most cited alongside Mark A. Lukas, 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 29 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Comparingparameter choice methods for regularization of ill-posed problems Hit paper breakdown → | 2011 | 227 |
| 2 | 2006 | 89 | |
| 3 | 2010 | 50 | |
| 4 | 1998 | 39 | |
| 5 | 1993 | 37 | |
| 6 | 2008 | 28 | |
| 7 | 1988 | 24 | |
| 8 | 2010 | 23 | |
| 9 | 2002 | 17 | |
| 10 | 1981 | 14 | |
| 11 | 1995 | 13 | |
| 12 | 2010 | 12 | |
| 13 | 1999 | 10 | |
| 14 | 2015 | 10 | |
| 15 | 1988 | 10 | |
| 16 | 1998 | 10 | |
| 17 | 2015 | 7 | |
| 18 | 1988 | 6 | |
| 19 | 1995 | 6 | |
| 20 | 2011 | 6 |
About Mark A. Lukas
Mark A. Lukas is a scholar working on Applied Mathematics, Mathematical Physics, Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics, having authored 29 papers that have together received 672 indexed citations. Recurring topics across this work include Numerical methods in inverse problems (14 papers), Statistical and numerical algorithms (11 papers), Matrix Theory and Algorithms (5 papers), Sparse and Compressive Sensing Techniques (5 papers), Advanced Statistical Methods and Models (4 papers), Control Systems and Identification (4 papers), Holomorphic and Operator Theory (3 papers) and Differential Equations and Boundary Problems (3 papers). The work is most often cited by research in Mathematical Physics (236 citations), Applied Mathematics (177 citations), Statistics and Probability (59 citations), Computational Mechanics (141 citations) and Statistics, Probability and Uncertainty (38 citations). Mark A. Lukas has collaborated with scholars based in Australia, United States and Germany. Frequent co-authors include Frank Bauer, Robert Anderssen, Frank de Hoog, James Alan Cochran, Jens Knudsen, Max H. Cake and Kok Lay Teo. Their work appears in journals such as Inverse Problems, Mathematics of Computation, Computational Statistics & Data Analysis, Journal of Statistical Planning and Inference and Biochemistry.
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.