Andreas Kirsch

9.6k total citations · 3 hit papers
106 papers, 4.9k citations indexed

About

Andreas Kirsch is a scholar working on Mathematical Physics, Biomedical Engineering and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Andreas Kirsch has authored 106 papers receiving a total of 4.9k indexed citations (citations by other indexed papers that have themselves been cited), including 76 papers in Mathematical Physics, 42 papers in Biomedical Engineering and 31 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Andreas Kirsch's work include Numerical methods in inverse problems (76 papers), Microwave Imaging and Scattering Analysis (41 papers) and Electromagnetic Scattering and Analysis (31 papers). Andreas Kirsch is often cited by papers focused on Numerical methods in inverse problems (76 papers), Microwave Imaging and Scattering Analysis (41 papers) and Electromagnetic Scattering and Analysis (31 papers). Andreas Kirsch collaborates with scholars based in Germany, United States and United Kingdom. Andreas Kirsch's co-authors include David Colton, N I Grinberg, Peter Monk, T. S. Angell, Stefan Ritter, Armin Lechleiter, Tilo Arens, Lassi Païvärinta, Xiaodong Liu and Frank Hettlich and has published in prestigious journals such as Proceedings of the IEEE, IEEE Transactions on Communications and Journal of Mathematical Analysis and Applications.

In The Last Decade

Andreas Kirsch

101 papers receiving 4.3k citations

Hit Papers

An Introduction to the Mathematical Theory of Inverse Pro... 1996 2026 2006 2016 1996 1996 2021 200 400 600
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. An Introduction to the Mathematical Theory of Inverse Problems
    1996 721 citations Andreas Kirsch profile →
  2. A simple method for solving inverse scattering problems in the resonance region
    1996 468 citations David Colton, Andreas Kirsch Inverse Problems profile →
  3. An Introduction to the Mathematical Theory of Inverse Problems
    2021 80 citations Andreas Kirsch profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Andreas Kirsch Germany 35 3.5k 2.7k 1.8k 991 771 106 4.9k
Rainer Kreß Germany 31 3.8k 1.1× 3.4k 1.3× 2.6k 1.5× 2.6k 2.6× 2.0k 2.6× 88 7.9k
R. E. Kleinman United States 29 1.2k 0.3× 2.1k 0.8× 984 0.6× 1.3k 1.3× 989 1.3× 110 3.6k
Michael V. Klibanov United States 28 2.6k 0.8× 1.2k 0.4× 815 0.5× 242 0.2× 255 0.3× 161 3.3k
Fadil Santosa United States 28 1.1k 0.3× 784 0.3× 972 0.6× 305 0.3× 870 1.1× 102 3.9k
Jun Zou Hong Kong 34 1.5k 0.4× 888 0.3× 1.4k 0.8× 615 0.6× 973 1.3× 169 4.3k
А. Г. Рамм United States 26 2.5k 0.7× 1.1k 0.4× 623 0.4× 810 0.8× 338 0.4× 421 3.8k
Michael Vogelius United States 36 2.3k 0.7× 961 0.4× 2.1k 1.2× 455 0.5× 1.3k 1.6× 91 4.9k
Matti Lassas Finland 34 1.7k 0.5× 1.2k 0.4× 632 0.4× 945 1.0× 807 1.0× 143 4.0k
Frank Natterer Germany 25 1.3k 0.4× 2.0k 0.7× 501 0.3× 288 0.3× 348 0.5× 67 4.9k
Victor Isakov United States 33 3.8k 1.1× 1.2k 0.4× 1.4k 0.8× 151 0.2× 474 0.6× 99 4.5k

Countries citing papers authored by Andreas Kirsch

Since Specialization
Citations

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

Fields of papers citing papers by Andreas Kirsch

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Andreas Kirsch

This figure shows the co-authorship network connecting the top 25 collaborators of Andreas Kirsch. A scholar is included among the top collaborators of Andreas Kirsch 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 Andreas Kirsch. Andreas Kirsch 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.
Kirsch, Andreas & Ruming Zhang. (2025). The PML-method for a scattering problem for a local perturbation of an open periodic waveguide. Numerische Mathematik. 157(2). 717–748. 1 indexed citations
2.
Kirsch, Andreas & Ben Schweizer. (2024). Periodic waveguides revisited: Radiation conditions, limiting absorption principles, and the space of bounded solutions. Mathematical Methods in the Applied Sciences. 48(2). 2267–2293.
3.
Kirsch, Andreas, Joost van Amersfoort, & Yarin Gal. (2019). BatchBALD: Efficient and Diverse Batch Acquisition for Deep Bayesian Active Learning. arXiv (Cornell University). 32. 7024–7035. 38 indexed citations
4.
Kirsch, Andreas. (2019). Scattering by a periodic tube in R3 : part ii. A radiation condition. Inverse Problems. 35(10). 104005–104005. 5 indexed citations
5.
Kirsch, Andreas & Xiaodong Liu. (2013). The factorization method for inverse acoustic scattering by a penetrable anisotropic obstacle. Mathematical Methods in the Applied Sciences. 37(8). 1159–1170. 18 indexed citations
6.
Kirsch, Andreas, et al.. (2012). Inverse Problems for Partial Differential Equations. Oberwolfach Reports. 9(1). 611–659. 4 indexed citations
7.
Kirsch, Andreas & Andreas Kleefeld. (2012). The factorization method for a conductive boundary condition. Journal of Integral Equations and Applications. 24(4). 7 indexed citations
8.
Angell, T. S. & Andreas Kirsch. (2004). Optimization Methods in Electromagnetic Radiation. Springer monographs in mathematics. 38 indexed citations
9.
Kirsch, Andreas. (2004). The factorization method for Maxwell's equations. Inverse Problems. 20(6). S117–S134. 51 indexed citations
10.
Arens, Tilo & Andreas Kirsch. (2003). The factorization method in inverse scattering from periodic structures. Inverse Problems. 19(5). 1195–1211. 61 indexed citations
11.
Kirsch, Andreas. (2002). The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media. Inverse Problems. 18(4). 1025–1040. 175 indexed citations
12.
Kirsch, Andreas & Lassi Païvärinta. (1998). On recovering obstacles inside inhomogeneities. Mathematical Methods in the Applied Sciences. 21(7). 619–651. 34 indexed citations
13.
Hettlich, Frank & Andreas Kirsch. (1997). Schiffer's theorem in inverse scattering theory for periodic structures. Inverse Problems. 13(2). 351–361. 45 indexed citations
14.
Kirsch, Andreas & Peter Monk. (1994). An analysis of the coupling of finite-element and Nyström methods in acoustic scattering. IMA Journal of Numerical Analysis. 14(4). 523–544. 51 indexed citations
15.
Xiong, Zonghou & Andreas Kirsch. (1992). Three-dimensional earth conductivity inversion. Journal of Computational and Applied Mathematics. 42(1). 109–121. 12 indexed citations
16.
Kirsch, Andreas & Peter Monk. (1990). Convergence Analysis of a Coupled Finite Element and Spectral Method in Acoustic Scattering. IMA Journal of Numerical Analysis. 10(3). 425–447. 28 indexed citations
17.
Kirsch, Andreas. (1985). The robin problem for the helmholtz equation as a singular perturbation problem. Numerical Functional Analysis and Optimization. 8(1-2). 1–20. 9 indexed citations
18.
Reemtsen, Rembert & Andreas Kirsch. (1984). A method for the numerical solution of the one-dimensional inverse Stefan problem. Numerische Mathematik. 45(2). 253–273. 25 indexed citations
19.
Colton, David & Andreas Kirsch. (1981). Stable methods for solving the inverse scattering problem for a cylinder. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 89(3-4). 181–188. 7 indexed citations
20.
Kirsch, Andreas, et al.. (1978). The Space Shuttle Ground Terminal Delta Modulation System. IEEE Transactions on Communications. 26(11). 1660–1670. 1 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 Rainer Kreß Breakdown of academic impact, for papers by R. E. Kleinman Breakdown of academic impact, for papers by Michael V. Klibanov Breakdown of academic impact, for papers by Fadil Santosa Breakdown of academic impact, for papers by Jun Zou Breakdown of academic impact, for papers by А. Г. Рамм Breakdown of academic impact, for papers by Michael Vogelius Breakdown of academic impact, for papers by Matti Lassas Breakdown of academic impact, for papers by Frank Natterer Breakdown of academic impact, for papers by Victor Isakov
Rankless by CCL
2026