János Karátson

854 total citations
69 papers, 544 citations indexed

About

János Karátson is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mechanics of Materials. According to data from OpenAlex, János Karátson has authored 69 papers receiving a total of 544 indexed citations (citations by other indexed papers that have themselves been cited), including 52 papers in Computational Mechanics, 50 papers in Computational Theory and Mathematics and 29 papers in Mechanics of Materials. Recurrent topics in János Karátson's work include Advanced Numerical Methods in Computational Mathematics (51 papers), Numerical methods in engineering (29 papers) and Matrix Theory and Algorithms (26 papers). János Karátson is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (51 papers), Numerical methods in engineering (29 papers) and Matrix Theory and Algorithms (26 papers). János Karátson collaborates with scholars based in Hungary, Czechia and Finland. János Karátson's co-authors include Owe Axelsson, István Faragó, Sergey Korotov, Peter Šimon, Michal Křı́žek, Frédéric Magoulès, Radim Blaheta, Bashir Ahmad, Stanislav Sysala and József Csóka and has published in prestigious journals such as SHILAP Revista de lepidopterología, SIAM Journal on Numerical Analysis and Journal of Mathematical Analysis and Applications.

In The Last Decade

János Karátson

64 papers receiving 486 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
János Karátson Hungary 14 346 323 197 163 103 69 544
Jean‐Marie Thomas France 7 329 1.0× 241 0.7× 203 1.0× 73 0.4× 41 0.4× 16 502
S. H. Lui Canada 14 234 0.7× 170 0.5× 68 0.3× 126 0.8× 66 0.6× 38 428
Christos Xenophontos Cyprus 17 374 1.1× 286 0.9× 199 1.0× 343 2.1× 60 0.6× 60 642
Enrique Otárola Chile 11 188 0.5× 181 0.6× 134 0.7× 175 1.1× 82 0.8× 40 442
Christian Kreuzer Germany 10 543 1.6× 352 1.1× 268 1.4× 108 0.7× 67 0.7× 19 626
Dmitriy Leykekhman United States 14 370 1.1× 322 1.0× 93 0.5× 144 0.9× 45 0.4× 28 438
Benqi Guo Canada 15 381 1.1× 160 0.5× 315 1.6× 179 1.1× 108 1.0× 34 558
Pedro R. S. Antunes Portugal 12 116 0.3× 212 0.7× 234 1.2× 37 0.2× 107 1.0× 40 469
Etienne Emmrich Germany 15 328 0.9× 196 0.6× 392 2.0× 180 1.1× 84 0.8× 39 742
Ron DeVore United States 3 325 0.9× 196 0.6× 167 0.8× 74 0.5× 48 0.5× 4 411

Countries citing papers authored by János Karátson

Since Specialization
Citations

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

Fields of papers citing papers by János Karátson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of János Karátson

This figure shows the co-authorship network connecting the top 25 collaborators of János Karátson. A scholar is included among the top collaborators of János Karátson 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 János Karátson. János Karátson 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.
Karátson, János, et al.. (2024). Quasi-Newton iterative solution approaches for nonsmooth elliptic operators with applications to elasto-plasticity. Computers & Mathematics with Applications. 178. 61–80. 2 indexed citations
2.
Axelsson, Owe, János Karátson, & Frédéric Magoulès. (2018). Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. Journal of Computational and Applied Mathematics. 340. 424–431. 6 indexed citations
3.
Axelsson, Owe & János Karátson. (2016). Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part. Journal of Computational and Applied Mathematics. 310. 155–164. 1 indexed citations
4.
Axelsson, Owe & János Karátson. (2013). Reaching the superlinear convergence phase of the CG method. Journal of Computational and Applied Mathematics. 260. 244–257. 3 indexed citations
5.
Karátson, János, et al.. (2012). Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. Computers & Mathematics with Applications. 65(3). 449–459. 1 indexed citations
6.
Axelsson, Owe & János Karátson. (2010). Condition number analysis for various forms of block matrix preconditioners.. ETNA - Electronic Transactions on Numerical Analysis. 36. 168–194. 1 indexed citations
7.
Karátson, János & Sergey Korotov. (2009). Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. 6(1). 1–16. 9 indexed citations
8.
Karátson, János & Sergey Korotov. (2008). Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. ETNA - Electronic Transactions on Numerical Analysis. 36. 149–167. 4 indexed citations
9.
Karátson, János, et al.. (2008). A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems. Computers & Mathematics with Applications. 55(10). 2185–2196. 7 indexed citations
10.
Karátson, János, et al.. (2008). Mesh independent superlinear convergence of an inner–outer iterative method for semilinear elliptic interface problems. Journal of Computational and Applied Mathematics. 226(2). 190–196. 5 indexed citations
11.
Karátson, János, et al.. (2007). Newton's method in the context of gradients. SHILAP Revista de lepidopterología. 21 indexed citations
12.
Karátson, János, et al.. (2007). Superlinearly convergent PCG algorithms for some nonsymmetric elliptic systems. Journal of Computational and Applied Mathematics. 212(2). 214–230. 8 indexed citations
13.
Karátson, János & István Faragó. (2005). Preconditioning operators and Sobolevgradients for nonlinear elliptic problems. Computers & Mathematics with Applications. 50(7). 1077–1092. 22 indexed citations
14.
Karátson, János, et al.. (2005). Sobolev gradient preconditioning for the electrostatic potential equation. Computers & Mathematics with Applications. 50(7). 1093–1104. 16 indexed citations
15.
Karátson, János. (2004). Constructive Sobolev gradient preconditioning for semilinear elliptic systems. Electronic Journal of Differential Equations. 2004. 1–26. 19 indexed citations
16.
Karátson, János, et al.. (2002). Numerical solution of nonlinear elliptic problems via preconditioning operators : theory and applications. Nova Science Publishers eBooks. 57 indexed citations
17.
Faragó, István & János Karátson. (2001). The gradient-finite element method for elliptic problems. Computers & Mathematics with Applications. 42(8-9). 1043–1053. 9 indexed citations
18.
Karátson, János & Peter Šimon. (2001). On the stability properties of nonnegative solutions of semilinear problems with convex or concave nonlinearity. Journal of Computational and Applied Mathematics. 131(1-2). 497–501. 8 indexed citations
19.
Karátson, János. (2000). Gradient method in Sobolev spaces for nonlocal boundary-value problems. SHILAP Revista de lepidopterología. 1 indexed citations
20.
Karátson, János & Peter Šimon. (1999). Bifurcations for semilinear elliptic equations with convex nonlinearity. Electronic Journal of Differential Equations. 1999. 1–16. 25 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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