Thomas R. Lucas

567 total citations
22 papers, 441 citations indexed

About

Thomas R. Lucas is a scholar working on Mathematical Physics, Computational Mechanics and Biomedical Engineering. According to data from OpenAlex, Thomas R. Lucas has authored 22 papers receiving a total of 441 indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Mathematical Physics, 9 papers in Computational Mechanics and 9 papers in Biomedical Engineering. Recurrent topics in Thomas R. Lucas's work include Numerical methods in inverse problems (9 papers), Advanced Numerical Analysis Techniques (7 papers) and Optical Imaging and Spectroscopy Techniques (5 papers). Thomas R. Lucas is often cited by papers focused on Numerical methods in inverse problems (9 papers), Advanced Numerical Analysis Techniques (7 papers) and Optical Imaging and Spectroscopy Techniques (5 papers). Thomas R. Lucas collaborates with scholars based in United States and Russia. Thomas R. Lucas's co-authors include Michael V. Klibanov, G. W. Reddien, R.M. Frank, Hae‐Soo Oh and Cora Lee Wetherington and has published in prestigious journals such as Journal of Computational Physics, Optics Letters and Mathematics of Computation.

In The Last Decade

Thomas R. Lucas

20 papers receiving 362 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Thomas R. Lucas United States 12 161 147 104 103 94 22 441
А. М. Денисов Russia 11 42 0.3× 59 0.4× 167 1.6× 283 2.7× 71 0.8× 96 588
Uno Hämarik Estonia 12 24 0.1× 118 0.8× 93 0.9× 304 3.0× 65 0.7× 30 384
Élie Bretin France 10 31 0.2× 119 0.8× 66 0.6× 61 0.6× 78 0.8× 29 324
Kristian Witsch Germany 10 44 0.3× 159 1.1× 7 0.1× 52 0.5× 27 0.3× 15 281
Thomas K. DeLillo United States 14 32 0.2× 107 0.7× 66 0.6× 130 1.3× 148 1.6× 37 480
Chang-Ock Lee South Korea 9 36 0.2× 141 1.0× 45 0.4× 10 0.1× 88 0.9× 44 293
Zhengru Zhang China 17 307 1.9× 605 4.1× 37 0.4× 21 0.2× 50 0.5× 37 1.1k
Irwin Yousept Germany 13 40 0.2× 236 1.6× 24 0.2× 133 1.3× 95 1.0× 42 398
Hui Feng China 10 75 0.5× 247 1.7× 21 0.2× 28 0.3× 20 0.2× 45 421
Antti Hannukainen Finland 12 36 0.2× 187 1.3× 31 0.3× 44 0.4× 121 1.3× 50 428

Countries citing papers authored by Thomas R. Lucas

Since Specialization
Citations

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

Fields of papers citing papers by Thomas R. Lucas

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Thomas R. Lucas. 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 Thomas R. Lucas. The network helps show where Thomas R. Lucas may publish in the future.

Co-authorship network of co-authors of Thomas R. Lucas

This figure shows the co-authorship network connecting the top 25 collaborators of Thomas R. Lucas. A scholar is included among the top collaborators of Thomas R. Lucas 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 Thomas R. Lucas. Thomas R. Lucas 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.
Lucas, Thomas R.. (2008). A PDE-based inverse solver for diffusion tomography using multiple continuous wave sources. Inverse Problems in Science and Engineering. 16(1). 109–126. 1 indexed citations
2.
Klibanov, Michael V., et al.. (2003). Two numerical methods for an inverse problem for the 2-D Helmholtz equation. Journal of Computational Physics. 184(1). 122–148. 14 indexed citations
3.
Klibanov, Michael V., et al.. (2001). Numerical Solution of a Subsurface Imaging Inverse Problem. SIAM Journal on Applied Mathematics. 62(2). 664–683. 19 indexed citations
4.
Klibanov, Michael V., et al.. (2000). GMRES Computation of High Frequency Electrical Field Propagation in Land Mine Detection. Journal of Computational Physics. 158(1). 98–115. 8 indexed citations
5.
Klibanov, Michael V. & Thomas R. Lucas. (1999). Numerical Solution of a Parabolic Inverse Problem in Optical Tomography Using Experimental Data. SIAM Journal on Applied Mathematics. 59(5). 1763–1789. 21 indexed citations
6.
Klibanov, Michael V., et al.. (1999). Tomographic images of land mines by the elliptic systems method using GPR: efficient solution of the forward problem. Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE. 3710. 875–875. 1 indexed citations
7.
Lucas, Thomas R., Michael V. Klibanov, & R.M. Frank. (1997). <title>Imaging experimental data from optical tomography by the elliptic systems method</title>. Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE. 3171. 22–33. 4 indexed citations
8.
Klibanov, Michael V., Thomas R. Lucas, & R.M. Frank. (1997). A fast and accurate imaging algorithm in optical/diffusion tomography. Inverse Problems. 13(5). 1341–1361. 47 indexed citations
9.
Klibanov, Michael V., Thomas R. Lucas, & R.M. Frank. (1997). <title>New imaging algorithm in diffusion tomography</title>. Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE. 2979. 272–283. 8 indexed citations
10.
Lucas, Thomas R. & Hae‐Soo Oh. (1993). The Method of Auxiliary Mapping for the Finite Element Solutions of Elliptic Problems Containing Singularities. Journal of Computational Physics. 108(2). 327–342. 38 indexed citations
11.
Lucas, Thomas R., et al.. (1987). Efficient solution of Maxwell's equations for optical fibers with arbitrary refractive-index profiles. Optics Letters. 12(10). 841–841. 8 indexed citations
12.
Lucas, Thomas R.. (1983). A posteriori improvements for interpolating periodic splines. Mathematics of Computation. 40(161). 243–251. 2 indexed citations
13.
Lucas, Thomas R.. (1983). A Posteriori Improvements for Interpolating Periodic Splines. Mathematics of Computation. 40(161). 243–243.
14.
Lucas, Thomas R.. (1982). Asymptotic Expansions for Interpolating Periodic Splines. SIAM Journal on Numerical Analysis. 19(5). 1051–1066. 17 indexed citations
15.
Wetherington, Cora Lee & Thomas R. Lucas. (1980). A NOTE ON FITTING HERRNSTEIN'S EQUATION. Journal of the Experimental Analysis of Behavior. 34(2). 199–206. 17 indexed citations
16.
Lucas, Thomas R.. (1974). Error Bounds for Interpolating Cubic Splines Under Various End Conditions. SIAM Journal on Numerical Analysis. 11(3). 569–584. 126 indexed citations
17.
Lucas, Thomas R. & G. W. Reddien. (1972). Some Collocation Methods for Nonlinear Boundary Value Problems. SIAM Journal on Numerical Analysis. 9(2). 341–356. 45 indexed citations
18.
Lucas, Thomas R.. (1972). M-splines. Journal of Approximation Theory. 5(1). 1–14. 8 indexed citations
19.
Lucas, Thomas R. & G. W. Reddien. (1972). A high order projection method for nonlinear two point boundary value problems. Numerische Mathematik. 20(4). 257–270. 11 indexed citations
20.
Lucas, Thomas R.. (1970). A generalization ofL-splines. Numerische Mathematik. 15(5). 359–370. 11 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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