Robert Baier

713 total citations
29 papers, 368 citations indexed

About

Robert Baier is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, Robert Baier has authored 29 papers receiving a total of 368 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Numerical Analysis, 12 papers in Computational Theory and Mathematics and 11 papers in Control and Systems Engineering. Recurrent topics in Robert Baier's work include Optimization and Variational Analysis (12 papers), Advanced Optimization Algorithms Research (9 papers) and Advanced Control Systems Optimization (6 papers). Robert Baier is often cited by papers focused on Optimization and Variational Analysis (12 papers), Advanced Optimization Algorithms Research (9 papers) and Advanced Control Systems Optimization (6 papers). Robert Baier collaborates with scholars based in Germany, Israel and Australia. Robert Baier's co-authors include Matthias Gerdts, Frank Lempio, Elza Farkhi, Walter Alt, Lars Grüne, Sigurður Hafstein, Tzanko Donchev, Christof Büskens, Olivier Bokanowski and Ioannis G. Kevrekidis and has published in prestigious journals such as Applied Mathematics and Computation, SIAM Journal on Optimization and Nonlinear Analysis.

In The Last Decade

Robert Baier

28 papers receiving 342 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Robert Baier Germany	11	162	152	134	67	54	29	368
Frank Lempio Germany	11	241 1.5×	153 1.0×	160 1.2×	67 1.0×	67 1.2×	15	426
Aleksandr Moiseevich Rubinov Australia	5	214 1.3×	56 0.4×	193 1.4×	26 0.4×	58 1.1×	6	363
Elza Farkhi Israel	10	201 1.2×	84 0.6×	105 0.8×	9 0.1×	124 2.3×	28	327
В. Ф. Демьянов Russia	4	190 1.2×	50 0.3×	175 1.3×	26 0.4×	49 0.9×	6	313
N. D. Yen Vietnam	16	728 4.5×	123 0.8×	509 3.8×	32 0.5×	120 2.2×	52	784
Yuri S. Ledyaev United States	8	149 0.9×	486 3.2×	66 0.5×	60 0.9×	55 1.0×	19	652
Sorin‐Mihai Grad Germany	12	497 3.1×	80 0.5×	360 2.7×	9 0.1×	76 1.4×	39	544
В. Н. Ушаков Russia	12	113 0.7×	98 0.6×	44 0.3×	219 3.3×	58 1.1×	101	434
Antonio Ruberti Italy	8	76 0.5×	317 2.1×	61 0.5×	17 0.3×	24 0.4×	23	468
Georgii Georgievich Magaril-Il'yaev Russia	15	109 0.7×	70 0.5×	170 1.3×	44 0.7×	360 6.7×	83	638

Countries citing papers authored by Robert Baier

Since Specialization

Citations

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

Fields of papers citing papers by Robert Baier

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Robert Baier

This figure shows the co-authorship network connecting the top 25 collaborators of Robert Baier. A scholar is included among the top collaborators of Robert Baier 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 Robert Baier. Robert Baier 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

Baier, Robert & Elza Farkhi. (2023). A Filippov approximation theorem for strengthened one-sided Lipschitz differential inclusions. Computational Optimization and Applications. 86(3). 885–923.

Baier, Robert, et al.. (2020). Computation of avoidance regions for driver assistance systems by using a Hamilton‐Jacobi approach. Optimal Control Applications and Methods. 41(2). 668–689. 9 indexed citations

Baier, Robert, et al.. (2016). From Quasidifferentiable to Directed Subdifferentiable Functions: Exact Calculus Rules. Journal of Optimization Theory and Applications. 171(2). 384–401. 4 indexed citations

Baier, Robert, et al.. (2013). Approximation of reachable sets using optimal control algorithms. Numerical Algebra Control and Optimization. 3(3). 519–548. 49 indexed citations

Alt, Walter, Robert Baier, Matthias Gerdts, & Frank Lempio. (2012). Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions. Numerical Algebra Control and Optimization. 2(3). 547–570. 38 indexed citations

Baier, Robert, Qamar Din, & Tzanko Donchev. (2012). Higher order Runge–Kutta methods for impulsive differential systems. Applied Mathematics and Computation. 218(24). 11790–11798. 4 indexed citations

Baier, Robert, et al.. (2011). Set-valued Hermite interpolation. Journal of Approximation Theory. 163(10). 1349–1372. 5 indexed citations

Baier, Robert, et al.. (2011). The directed and Rubinov subdifferentials of quasidifferentiable functions, Part I: Definition and examples. Nonlinear Analysis. 75(3). 1074–1088. 9 indexed citations

Baier, Robert, et al.. (2011). The directed and Rubinov subdifferentials of quasidifferentiable functions, Part II: Calculus. Nonlinear Analysis. 75(3). 1058–1073. 10 indexed citations

10.

Alt, Walter, Robert Baier, Frank Lempio, & Matthias Gerdts. (2011). Approximations of linear control problems with bang-bang solutions. Optimization. 62(1). 9–32. 29 indexed citations

11.

Baier, Robert, Lars Grüne, & Sigurður Hafstein. (2010). Computing Lyapunov functions for strongly asymptotically stable differential inclusions. IFAC Proceedings Volumes. 43(14). 1098–1103. 1 indexed citations

12.

Baier, Robert & Tzanko Donchev. (2010). Discrete Approximation of Impulsive Differential Inclusions. Numerical Functional Analysis and Optimization. 31(6). 653–678. 13 indexed citations

13.

Baier, Robert & Matthias Gerdts. (2009). A computational method for non-convex reachable sets using optimal control. ERef Bayreuth (University of Bayreuth). 97–102. 24 indexed citations

14.

Baier, Robert, et al.. (2008). Hermite Interpolation with Directed Sets. EPub Bayreuth (University of Bayreuth). 1 indexed citations

15.

Baier, Robert & Elza Farkhi. (2007). Regularity and Integration of Set-Valued Maps Represented by Generalized Steiner Points. Set-Valued Analysis. 15(2). 185–207. 4 indexed citations

16.

Baier, Robert, et al.. (2007). Stability and Convergence of Euler's Method for State-Constrained Differential Inclusions. SIAM Journal on Optimization. 18(3). 1004–1026. 18 indexed citations

17.

Baier, Robert, et al.. (2006). Approximation of reachable sets by direct solution methods for optimal control problems. Optimization methods & software. 22(3). 433–452. 22 indexed citations

18.

Baier, Robert & Matthias Gerdts. (2005). Set-Valued Numerical Analysis and Optimal Control. EPub Bayreuth (University of Bayreuth). 1 indexed citations

19.

Baier, Robert & Elza Farkhi. (2001). Differences of Convex Compact Sets in the Space of Directed Sets. Part II: Visualization of Directed Sets. Set-Valued Analysis. 9(3). 247–272. 17 indexed citations

20.

Baier, Robert & Elza Farkhi. (2001). Differences of Convex Compact Sets in the Space of Directed Sets. Part I: The Space of Directed Sets. Set-Valued Analysis. 9(3). 217–245. 23 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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