Robert Plato

661 total citations
28 papers, 385 citations indexed

About

Robert Plato is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, Robert Plato has authored 28 papers receiving a total of 385 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Mathematical Physics, 10 papers in Computational Theory and Mathematics and 7 papers in Numerical Analysis. Recurrent topics in Robert Plato's work include Numerical methods in inverse problems (16 papers), Advanced Mathematical Modeling in Engineering (7 papers) and Matrix Theory and Algorithms (4 papers). Robert Plato is often cited by papers focused on Numerical methods in inverse problems (16 papers), Advanced Mathematical Modeling in Engineering (7 papers) and Matrix Theory and Algorithms (4 papers). Robert Plato collaborates with scholars based in Germany, Finland and Estonia. Robert Plato's co-authors include Gennadi Vainikko, Alfred K. Louis, Uno Hämarik, Bernd Hofmann, Peter Mathé, Rolf Dieter Grigorieff and Hans J. Petersen and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Numerische Mathematik.

In The Last Decade

Robert Plato

23 papers receiving 337 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Robert Plato Germany	10	281	102	96	93	81	28	385
Reza Pourgholi Iran	12	276 1.0×	75 0.7×	75 0.8×	63 0.7×	79 1.0×	53	412
Eberhard Schock Germany	11	380 1.4×	103 1.0×	194 2.0×	86 0.9×	64 0.8×	37	474
M. Yu. Kokurin Russia	8	354 1.3×	69 0.7×	130 1.4×	58 0.6×	94 1.2×	61	434
Abdeljalil Nachaoui France	11	318 1.1×	164 1.6×	68 0.7×	38 0.4×	122 1.5×	56	442
H.-J. Reinhardt Germany	12	198 0.7×	75 0.7×	52 0.5×	43 0.5×	74 0.9×	20	304
Xiaoli Feng China	14	325 1.2×	99 1.0×	44 0.5×	64 0.7×	34 0.4×	37	426
A. Shidfar Iran	15	288 1.0×	106 1.0×	158 1.6×	141 1.5×	70 0.9×	48	535
Fangfang Dou China	12	250 0.9×	59 0.6×	34 0.4×	86 0.9×	80 1.0×	30	424
В. К. Иванов Russia	6	253 0.9×	100 1.0×	174 1.8×	59 0.6×	45 0.6×	9	407
Vitalii P. Tanana	3	211 0.8×	82 0.8×	124 1.3×	43 0.5×	38 0.5×	5	307

Countries citing papers authored by Robert Plato

Since Specialization

Citations

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

Fields of papers citing papers by Robert Plato

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Robert Plato

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

Hofmann, Bernd, et al.. (2023). New results for variational regularization with oversmoothing penalty term in Banach spaces. 1(2). 94–115.

Plato, Robert. (2021). Numerische Mathematik kompakt. 2 indexed citations

Hofmann, Bernd & Robert Plato. (2020). Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term. ETNA - Electronic Transactions on Numerical Analysis. Oesterreichisches Musiklexikon online (Institut für kunst- und musikhistorische Forschungen der Österreichischen Akademie der Wissenschaften). 7 indexed citations

Plato, Robert & Bernd Hofmann. (2019). A Regularized Variational Inequality Approach for Nonlinear Monotone Ill-Posed Equations. Journal of Optimization Theory and Applications. 182(2). 525–539. 1 indexed citations

Plato, Robert. (2017). Converse Results, Saturation and Quasi-optimality for Lavrentiev Regularization of Accretive Problems. SIAM Journal on Numerical Analysis. 55(3). 1315–1329. 4 indexed citations

Plato, Robert. (2011). The regularizing properties of the composite trapezoidal method for weakly singular Volterra integral equations of the first kind. Advances in Computational Mathematics. 36(2). 331–351. 7 indexed citations

Plato, Robert. (2010). Übungsbuch zur numerischen Mathematik. Vieweg+Teubner eBooks.

Plato, Robert. (2005). Fractional Multistep Methods for Weakly Singular Volterra Integral Equations of the First Kind with Perturbed Data. Numerical Functional Analysis and Optimization. 26(2). 249–269. 7 indexed citations

Plato, Robert. (2004). Numerische Mathematik kompakt. 2 indexed citations

10.

Plato, Robert. (2003). Concise Numerical Mathematics. Graduate studies in mathematics. 37 indexed citations

11.

Plato, Robert & Gennadi Vainikko. (2001). Fast solution of periodic integral equations by GMRES. Computational Methods in Applied Mathematics. 1(4). 383–397.

12.

Plato, Robert & Gennadi Vainikko. (2001). On the fast and fully discretized solution¶of integral and pseudo-differential equations¶on smooth curves. CALCOLO. 38(1). 25–48. 1 indexed citations

13.

Plato, Robert & Gennadi Vainikko. (2001). The Fast Solution of Periodic Integral and Pseudodifferential Equations by Gmres. Computational Methods in Applied Mathematics. 1(4). 383–397. 1 indexed citations

14.

Plato, Robert. (1999). The conjugate gradient method for linear ill-posed problems with operator perturbations. Numerical Algorithms. 20(1). 1–22. 13 indexed citations

15.

Plato, Robert. (1997). Resolvent Estimates for Abel Integral Operators and the Regularization of Associated First Kind Integral Equations. Journal of Integral Equations and Applications. 9(3). 17 indexed citations

16.

Plato, Robert. (1997). The Galerkin scheme for Lavrentiev’sm-times iterated method to solve linear accretive Volterra integral equations of the first kind. BIT Numerical Mathematics. 37(2). 404–423. 21 indexed citations

17.

Plato, Robert. (1996). On the discrepancy principle for iterative and parametric methods to solve linear ill-posed equations. Numerische Mathematik. 75(1). 99–120. 24 indexed citations

18.

Grigorieff, Rolf Dieter & Robert Plato. (1995). On a minimax equality for seminorms. Linear Algebra and its Applications. 221. 227–243. 6 indexed citations

19.

Plato, Robert. (1990). Optimal algorithms for linear ill-posed problems yield regularization methods. Numerical Functional Analysis and Optimization. 11(1-2). 111–118. 38 indexed citations

20.

Petersen, Hans J., et al.. (1984). Der Internationale Handel mit Dienstleistungen aus der Sicht der Bundesrepublik Deutschland : Entwicklung, Handel, Politik. Duncker & Humblot eBooks. 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.

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