Peter Mathé

1.8k total citations
77 papers, 1.1k citations indexed

About

Peter Mathé is a scholar working on Mathematical Physics, Applied Mathematics and Computational Mechanics. According to data from OpenAlex, Peter Mathé has authored 77 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 54 papers in Mathematical Physics, 32 papers in Applied Mathematics and 17 papers in Computational Mechanics. Recurrent topics in Peter Mathé's work include Numerical methods in inverse problems (51 papers), Statistical and numerical algorithms (19 papers) and Mathematical Approximation and Integration (14 papers). Peter Mathé is often cited by papers focused on Numerical methods in inverse problems (51 papers), Statistical and numerical algorithms (19 papers) and Mathematical Approximation and Integration (14 papers). Peter Mathé collaborates with scholars based in Germany, Austria and China. Peter Mathé's co-authors include Sergei V. Pereverzev, Bernd Hofmann, Ulrich Tautenhahn, Shuai Lu, Erich Novak, Frank Bauer, Norbert Hofmann, Jens Flemming, Heinrich von Weizsäcker and Gang Wei and has published in prestigious journals such as Physical Review B, Mathematics of Computation and SIAM Journal on Numerical Analysis.

In The Last Decade

Peter Mathé

77 papers receiving 948 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter Mathé Germany 20 795 351 302 197 182 77 1.1k
Sergei V. Pereverzev Austria 23 1.3k 1.7× 643 1.8× 489 1.6× 272 1.4× 329 1.8× 94 1.9k
Ulrich Tautenhahn Germany 23 1.2k 1.6× 423 1.2× 314 1.0× 240 1.2× 330 1.8× 44 1.4k
Bernd Hofmann Germany 24 1.6k 2.0× 460 1.3× 609 2.0× 499 2.5× 354 1.9× 107 1.9k
M. Thamban Nair India 15 554 0.7× 191 0.5× 86 0.3× 113 0.6× 195 1.1× 78 687
Christian Clason Austria 19 351 0.4× 116 0.3× 406 1.3× 167 0.8× 295 1.6× 52 974
Sergio Vessella Italy 20 1.2k 1.5× 435 1.2× 139 0.5× 198 1.0× 717 3.9× 81 1.7k
Stevan Pilipović Serbia 27 968 1.2× 1.3k 3.8× 65 0.2× 113 0.6× 225 1.2× 245 3.1k
Harold S. Shapiro Sweden 18 351 0.4× 709 2.0× 111 0.4× 66 0.3× 243 1.3× 66 1.3k
Marco Donatelli Italy 21 362 0.5× 235 0.7× 633 2.1× 131 0.7× 491 2.7× 102 1.4k
Gennadi Vainikko Estonia 25 700 0.9× 894 2.5× 407 1.3× 98 0.5× 503 2.8× 108 2.5k

Countries citing papers authored by Peter Mathé

Since Specialization
Citations

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

Fields of papers citing papers by Peter Mathé

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Mathé

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Mathé. A scholar is included among the top collaborators of Peter Mathé 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 Peter Mathé. Peter Mathé 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.
Mathé, Peter & Bernd Hofmann. (2025). Comparing the ill-posedness for linear operators in Hilbert spaces. Advances in Operator Theory. 10(2). 1 indexed citations
2.
Mathé, Peter & Bernd Hofmann. (2024). Tractability of linear ill-posed problems in Hilbert space. Journal of Complexity. 84. 101867–101867. 1 indexed citations
3.
Mathé, Peter, et al.. (2023). Inverse learning in Hilbert scales. Machine Learning. 112(7). 2469–2499. 1 indexed citations
4.
Lu, Shuai, Peter Mathé, & Sergei V. Pereverzev. (2020). Randomized matrix approximation to enhance regularized projection schemes in inverse problems. Inverse Problems. 36(8). 85013–85013. 1 indexed citations
5.
Mathé, Peter. (2019). Bayesian inverse problems with non-commuting operators. Mathematics of Computation. 88(320). 2897–2912. 8 indexed citations
6.
Mathé, Peter & Sergei V. Pereverzev. (2016). Complexity of linear ill-posed problems in Hilbert space. Journal of Complexity. 38. 50–67. 10 indexed citations
7.
Lu, Shuai & Peter Mathé. (2014). Discrepancy based model selection in statistical inverse problems. Journal of Complexity. 30(3). 290–308. 11 indexed citations
8.
Hofmann, Bernd & Peter Mathé. (2012). Parameter choice in Banach space regularization under variational inequalities. Inverse Problems. 28(10). 104006–104006. 39 indexed citations
9.
Mathé, Peter & Ulrich Tautenhahn. (2011). Regularization under general noise assumptions. Inverse Problems. 27(3). 35016–35016. 14 indexed citations
10.
Mathé, Peter & Sergei V. Pereverzev. (2008). The use of higher order finite difference schemes is not dangerous. Journal of Complexity. 25(1). 3–10. 8 indexed citations
11.
Mathé, Peter & Erich Novak. (2007). Simple Monte Carlo and the Metropolis algorithm. Journal of Complexity. 23(4-6). 673–696. 30 indexed citations
12.
Mathé, Peter. (2006). What do we Learn from the Discrepancy Principle?. Zeitschrift für Analysis und ihre Anwendungen. 25(4). 411–420. 4 indexed citations
13.
Mathé, Peter & Sergei V. Pereverzev. (2002). Direct Estimation of Linear Functionals from Indirect Noisy Observations. Journal of Complexity. 18(2). 500–516. 11 indexed citations
14.
Mathé, Peter. (2000). Hilbert space analysis of Latin Hypercube Sampling. Proceedings of the American Mathematical Society. 129(5). 1477–1492. 4 indexed citations
15.
16.
Mathé, Peter. (1995). The Optimal Error of Monte Carlo Integration. Journal of Complexity. 11(4). 394–415. 4 indexed citations
17.
Mathé, Peter. (1993). On Optimal Random Nets. Journal of Complexity. 9(1). 171–180. 2 indexed citations
18.
Mathé, Peter. (1991). Random approximation of Sobolev embeddings. Journal of Complexity. 7(3). 261–281. 27 indexed citations
19.
Mathé, Peter. (1990). s-Numbers in information-based complexity. Journal of Complexity. 6(1). 41–66. 44 indexed citations
20.
Linde, Werner & Peter Mathé. (1983). Conditional symmetries of stable measures on $R^n$. Czech digital mathematics library. 19(1). 57–69. 2 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 Sergei V. Pereverzev Breakdown of academic impact, for papers by Ulrich Tautenhahn Breakdown of academic impact, for papers by Bernd Hofmann Breakdown of academic impact, for papers by M. Thamban Nair Breakdown of academic impact, for papers by Christian Clason Breakdown of academic impact, for papers by Sergio Vessella Breakdown of academic impact, for papers by Stevan Pilipović Breakdown of academic impact, for papers by Harold S. Shapiro Breakdown of academic impact, for papers by Marco Donatelli Breakdown of academic impact, for papers by Gennadi Vainikko
Rankless by CCL
2026