David Colton

21.1k total citations · 5 hit papers
227 papers, 11.0k citations indexed

About

David Colton is a scholar working on Mathematical Physics, Biomedical Engineering and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, David Colton has authored 227 papers receiving a total of 11.0k indexed citations (citations by other indexed papers that have themselves been cited), including 156 papers in Mathematical Physics, 103 papers in Biomedical Engineering and 65 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in David Colton's work include Numerical methods in inverse problems (141 papers), Microwave Imaging and Scattering Analysis (102 papers) and Electromagnetic Scattering and Analysis (62 papers). David Colton is often cited by papers focused on Numerical methods in inverse problems (141 papers), Microwave Imaging and Scattering Analysis (102 papers) and Electromagnetic Scattering and Analysis (62 papers). David Colton collaborates with scholars based in United States, Germany and United Kingdom. David Colton's co-authors include Rainer Kreß, Peter Monk, Fioralba Cakoni, Andreas Kirsch, Houssem Haddar, Michele Piana, Lassi Païvärinta, Robert W. Covert, William Rundell and Joe Coyle and has published in prestigious journals such as IEEE Transactions on Antennas and Propagation, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

David Colton

216 papers receiving 9.8k citations

Hit Papers

5 papers align trajectories

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.

Inverse Acoustic and Electromagnetic Scattering Theory

1998 1.5k citations David Colton, Rainer Kreß profile →
Inverse Acoustic and Electromagnetic Scattering Theory

2012 1.5k citations David Colton, Rainer Kreß profile →
Inverse Acoustic and Electromagnetic Scattering Theory

1992 759 citations David Colton, Rainer Kreß profile →
Integral Equation Methods in Scattering Theory

2013 603 citations David Colton, Rainer Kreß profile →
A simple method for solving inverse scattering problems in the resonance region

1996 468 citations David Colton et al. Inverse Problems profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
David Colton United States	47	6.8k	5.9k	3.4k	2.9k	1.8k	227	11.0k
Rainer Kreß Germany	31	3.8k 0.6×	3.4k 0.6×	2.6k 0.8×	2.6k 0.9×	2.0k 1.1×	88	7.9k
George Papanicolaou United States	34	1.0k 0.2×	1.2k 0.2×	2.6k 0.8×	546 0.2×	634 0.3×	111	6.6k
E. L. Hill United States	13	551 0.1×	1.7k 0.3×	1.5k 0.4×	4.1k 1.4×	1.9k 1.1×	25	11.1k
Jean-Claude Nédélec France	26	971 0.1×	682 0.1×	2.7k 0.8×	2.0k 0.7×	2.7k 1.5×	86	6.3k
Heinz W. Engl Austria	26	3.4k 0.5×	1.0k 0.2×	1.1k 0.3×	272 0.1×	467 0.3×	88	5.9k
Björn Engquist United States	47	737 0.1×	709 0.1×	2.7k 0.8×	2.3k 0.8×	3.4k 1.9×	141	13.6k
Andreas B. Neubauer Germany	33	3.8k 0.6×	1.2k 0.2×	1.2k 0.3×	293 0.1×	522 0.3×	125	7.3k
Claudio Canuto Italy	28	780 0.1×	1.0k 0.2×	1.7k 0.5×	714 0.2×	943 0.5×	113	10.8k
Robert V. Kohn United States	50	3.0k 0.4×	1.1k 0.2×	3.0k 0.9×	632 0.2×	564 0.3×	152	10.1k
Abdul–Majid Wazwaz United States	92	3.7k 0.5×	1.1k 0.2×	2.2k 0.6×	5.3k 1.8×	966 0.5×	736	34.3k

Countries citing papers authored by David Colton

Since Specialization

Citations

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

Fields of papers citing papers by David Colton

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of David Colton

This figure shows the co-authorship network connecting the top 25 collaborators of David Colton. A scholar is included among the top collaborators of David Colton 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 David Colton. David Colton is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Colton, David, et al.. (2018). Using eigenvalues to detect anomalies in the exterior of a cavity. Inverse Problems. 34(8). 85006–85006. 11 indexed citations

Colton, David, et al.. (2017). Modified transmission eigenvalues in inverse scattering theory. Inverse Problems. 33(12). 125002–125002. 24 indexed citations

Cakoni, Fioralba, David Colton, & Houssem Haddar. (2012). The interior transmission eigenvalue problem for absorbing media. Inverse Problems. 28(4). 45005–45005. 14 indexed citations

Cakoni, Fioralba & David Colton. (2007). Inequalities in inverse scattering theory. Journal of Inverse and Ill-Posed Problems. 15(5). 483–491. 1 indexed citations

Cakoni, Fioralba, David Colton, & Peter Monk. (2006). The inverse electromagnetic scattering problem for a partially coated dielectric. Journal of Computational and Applied Mathematics. 204(2). 256–267. 11 indexed citations

Colton, David & Peter Monk. (2001). Mathematical and Numerical Methods in Inverse Acoustic Scattering Theory. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 81(11). 723–723. 5 indexed citations

Colton, David, Rainer Kreß, & Peter Monk. (1997). Inverse scattering from an orthotropic medium. Journal of Computational and Applied Mathematics. 81(2). 269–298. 31 indexed citations

Colton, David. (1988). Partial differential equations : an introduction. CERN Bulletin. 14 indexed citations

Wimp, Jet, et al.. (1987). Some preliminary observations on an algorithm for the computation of moment integrals. Journal of Computational and Applied Mathematics. 19(1). 117–124. 4 indexed citations

10.

Colton, David, et al.. (1982). Brown and the Distribution of School Resources.. 1 indexed citations

11.

Colton, David & Rainer Kreß. (1980). Iterative methods for solving the exterior Dirichlet problem for the Helmholtz equation with applications to the inverse scattering problem for low frequency acoustic waves. Journal of Mathematical Analysis and Applications. 77(1). 60–72. 13 indexed citations

12.

Wimp, Jet & David Colton. (1979). Remarks on the representation of zero by solutions of differential equations. Proceedings of the American Mathematical Society. 74(2). 232–234. 2 indexed citations

13.

Colton, David & Jet Wimp. (1979). Asymptotic behaviour of the fundamental solution to the equation of heat conduction in two temperatures. Journal of Mathematical Analysis and Applications. 69(2). 411–418. 25 indexed citations

14.

Colton, David. (1977). An inverse scattering problem for acoustic waves in a spherically stratified medium. Proceedings of the Edinburgh Mathematical Society. 20(3). 257–263. 2 indexed citations

15.

Colton, David. (1974). Integral operators and reflection principles for parabolic equations in one space variable. Journal of Differential Equations. 15(3). 551–559. 14 indexed citations

16.

Colton, David. (1973). Bergman operators for parabolic equations in two space variables. Proceedings of the American Mathematical Society. 38(1). 119–126. 4 indexed citations

17.

Colton, David. (1973). Bergman Operators for Parabolic Equations in Two Space Variables. Proceedings of the American Mathematical Society. 38(1). 119–119.

18.

Colton, David. (1973). Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients. Journal of Differential Equations. 13(3). 506–522. 20 indexed citations

19.

Colton, David. (1970). Cauchy's problem for almost linear elliptic equations in two independent variables. Journal of Approximation Theory. 3(1). 66–71. 6 indexed citations

20.

Colton, David. (1969). A contribution to the analytic theory of partial differential equations. Journal of Differential Equations. 5(1). 117–135. 3 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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