A. Kaplan

506 total citations
39 papers, 303 citations indexed

About

A. Kaplan is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Mathematical Physics. According to data from OpenAlex, A. Kaplan has authored 39 papers receiving a total of 303 indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Computational Theory and Mathematics, 21 papers in Numerical Analysis and 19 papers in Mathematical Physics. Recurrent topics in A. Kaplan's work include Optimization and Variational Analysis (28 papers), Advanced Optimization Algorithms Research (20 papers) and Numerical methods in inverse problems (15 papers). A. Kaplan is often cited by papers focused on Optimization and Variational Analysis (28 papers), Advanced Optimization Algorithms Research (20 papers) and Numerical methods in inverse problems (15 papers). A. Kaplan collaborates with scholars based in Germany, United States and Russia. A. Kaplan's co-authors include R. Tichatschke, Christian Großmann and Monika Böhm and has published in prestigious journals such as SIAM Journal on Control and Optimization, Nonlinear Analysis and Proceedings of the American Mathematical Society.

In The Last Decade

A. Kaplan

37 papers receiving 267 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. Kaplan Germany	9	243	199	80	59	47	39	303
L. McLinden United States	10	256 1.1×	186 0.9×	37 0.5×	23 0.4×	52 1.1×	22	307
Hein Hundal United States	11	270 1.1×	225 1.1×	65 0.8×	145 2.5×	72 1.5×	13	377
Jean-Baptiste Hiriart-Urruty France	3	305 1.3×	196 1.0×	50 0.6×	19 0.3×	84 1.8×	4	333
Adam B. Levy United States	12	423 1.7×	310 1.6×	59 0.7×	36 0.6×	91 1.9×	31	488
Karl‐Heinz Elster Germany	8	145 0.6×	102 0.5×	48 0.6×	14 0.2×	32 0.7×	24	214
D. Azé France	11	418 1.7×	208 1.0×	138 1.7×	38 0.6×	192 4.1×	28	514
Huynh Van Ngai Vietnam	13	373 1.5×	258 1.3×	72 0.9×	34 0.6×	148 3.1×	25	417
Enrico Miglierina Italy	10	480 2.0×	373 1.9×	37 0.5×	29 0.5×	103 2.2×	30	511
Gong Chen United States	3	174 0.7×	153 0.8×	47 0.6×	123 2.1×	43 0.9×	4	278
Hang–Chin Lai Taiwan	11	239 1.0×	143 0.7×	45 0.6×	9 0.2×	41 0.9×	50	324

Countries citing papers authored by A. Kaplan

Since Specialization

Citations

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

Fields of papers citing papers by A. Kaplan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. Kaplan

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

All Works

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20 of 20 papers shown

Kaplan, A. & R. Tichatschke. (2010). Note on the paper: Interior proximal method for variational inequalities on non-polyhedral sets. 30(1). 51–51. 7 indexed citations

Kaplan, A. & R. Tichatschke. (2009). Proximal point method and elliptic regularization. Nonlinear Analysis. 71(10). 4525–4543. 2 indexed citations

Kaplan, A. & R. Tichatschke. (2007). Interior proximal method for variational inequalities on non-polyhedral sets. 27(1). 71–71. 6 indexed citations

Kaplan, A. & R. Tichatschke. (2006). Bregman-like functions and proximal methods for variational problems with nonlinear constraints. Optimization. 56(1-2). 253–265. 10 indexed citations

Kaplan, A. & R. Tichatschke. (2004). Interior Proximal Method for Variational Inequalities: Case of Nonparamonotone Operators. Set-Valued Analysis. 12(4). 357–382. 6 indexed citations

Kaplan, A. & R. Tichatschke. (2002). Convergence analysis of non-quadratic proximal methods for variational inequalities in Hilbert spaces. Journal of Global Optimization. 22(1-4). 119–136. 8 indexed citations

Kaplan, A. & R. Tichatschke. (2002). Proximal-based regularization methods and successive approximation of variational inequalities in Hilbert spaces. Control and Cybernetics. 31(3). 521–544. 8 indexed citations

Tichatschke, R., et al.. (2002). Numerical treatment of an asset price model with non-stochastic uncertainty. Top. 10(1). 1–30. 8 indexed citations

Kaplan, A. & R. Tichatschke. (2000). Auxiliary Problem Principle and Proximal Point Methods. Journal of Global Optimization. 17(1-4). 201–224. 2 indexed citations

10.

Kaplan, A. & R. Tichatschke. (1998). Regularized penalty method for non-coercive parabolic optimal control problems. Control and Cybernetics. 27(1). 5–27. 4 indexed citations

11.

Kaplan, A. & R. Tichatschke. (1998). Proximal Point Methods and Nonconvex Optimization. Journal of Global Optimization. 13(4). 389–406. 68 indexed citations

12.

Kaplan, A. & R. Tichatschke. (1997). Prox-regularization and solution of ill-posed elliptic variational inequalities. Applications of Mathematics. 42(2). 111–145. 8 indexed citations

13.

Kaplan, A. & R. Tichatschke. (1996). A note on the paper multi-step-prox-regularization methods for solving convex variational problems. Optimization. 37(2). 149–152. 1 indexed citations

14.

Kaplan, A., et al.. (1995). On a class of terminal variational problems. TUbilio (Technical University of Darmstadt). 19 indexed citations

15.

Kaplan, A.. (1993). Remark on certain $C\sp *$-algebra extensions considered by G. Skandalis. Proceedings of the American Mathematical Society. 117(4). 1047–1047. 1 indexed citations

16.

Kaplan, A. & R. Tichatschke. (1992). Variatoinal inequalities and convex semi-infinite programming problems. Optimization. 26(3-4). 187–214. 4 indexed citations

17.

Kaplan, A.. (1989). Multi-states on 𝐶*-algebras. Proceedings of the American Mathematical Society. 106(2). 437–446. 1 indexed citations

18.

Kaplan, A.. (1989). Convergence rate estimates for regularized methods of solving variational problems. Russian Journal of Numerical Analysis and Mathematical Modelling. 4(2). 4 indexed citations

19.

Kaplan, A.. (1989). Multi-States on C ∗ -Algebras. Proceedings of the American Mathematical Society. 106(2). 437–437. 9 indexed citations

20.

Kaplan, A., et al.. (1983). On the rate of convergence of sequential unconstrained minimization techniques. Springer Link (Chiba Institute of Technology). 17(3). 267–292. 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.

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