Rudolf Scherer

772 total citations · 1 hit paper
25 papers, 570 citations indexed

About

Rudolf Scherer is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, Rudolf Scherer has authored 25 papers receiving a total of 570 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Numerical Analysis, 10 papers in Computational Theory and Mathematics and 7 papers in Computational Mechanics. Recurrent topics in Rudolf Scherer's work include Numerical methods for differential equations (13 papers), Matrix Theory and Algorithms (8 papers) and Differential Equations and Numerical Methods (5 papers). Rudolf Scherer is often cited by papers focused on Numerical methods for differential equations (13 papers), Matrix Theory and Algorithms (8 papers) and Differential Equations and Numerical Methods (5 papers). Rudolf Scherer collaborates with scholars based in Germany, China and Bulgaria. Rudolf Scherer's co-authors include S. L. Kalla, Jianfei Huang, Yifa Tang, Bader Al-Saqabi, Jialin Hong, Lijin Wang, Yushun Wang, Mengzhao Qin, Lijin Wang and Yun Tang and has published in prestigious journals such as IEEE Transactions on Automatic Control, Physics Letters A and SIAM Journal on Numerical Analysis.

In The Last Decade

Rudolf Scherer

22 papers receiving 534 citations

Hit Papers

The Grünwald–Letnikov method for fractional differential ... 2011 2026 2016 2021 2011 100 200 300
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. The Grünwald–Letnikov method for fractional differential equations
    2011 341 citations Rudolf Scherer, S. L. Kalla et al. Computers & Mathematics with Applications profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Rudolf Scherer Germany 11 291 212 118 100 88 25 570
I.H. Abdel-Halim Hassan Egypt 7 375 1.3× 282 1.3× 114 1.0× 63 0.6× 51 0.6× 12 618
U. Filobello-Nino Mexico 13 387 1.3× 274 1.3× 138 1.2× 44 0.4× 42 0.5× 67 592
Hassan Saberi Nik Iran 17 330 1.1× 193 0.9× 409 3.5× 139 1.4× 49 0.6× 64 863
Rohul Amin Pakistan 15 548 1.9× 343 1.6× 114 1.0× 55 0.6× 146 1.7× 61 768
Fatma Ayaz Türkiye 9 557 1.9× 400 1.9× 237 2.0× 51 0.5× 81 0.9× 19 867
Davood Rostamy Iran 12 379 1.3× 255 1.2× 77 0.7× 49 0.5× 138 1.6× 53 477
V. V. Gafiychuk Ukraine 16 604 2.1× 247 1.2× 152 1.3× 80 0.8× 263 3.0× 43 850
Ming-Jyi Jang Taiwan 13 281 1.0× 208 1.0× 244 2.1× 279 2.8× 32 0.4× 34 938
Necdet Bıldık Türkiye 12 380 1.3× 225 1.1× 99 0.8× 55 0.6× 77 0.9× 31 510
J. J. Rosales Mexico 16 454 1.6× 156 0.7× 310 2.6× 187 1.9× 104 1.2× 57 810

Countries citing papers authored by Rudolf Scherer

Since Specialization
Citations

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

Fields of papers citing papers by Rudolf Scherer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Rudolf Scherer

This figure shows the co-authorship network connecting the top 25 collaborators of Rudolf Scherer. A scholar is included among the top collaborators of Rudolf Scherer 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 Rudolf Scherer. Rudolf Scherer 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.
Scherer, Rudolf, et al.. (2012). Protter-Morawetz multidimensional problems. Proceedings of the Steklov Institute of Mathematics. 278(1). 179–198. 3 indexed citations
2.
Scherer, Rudolf, S. L. Kalla, Yifa Tang, & Jianfei Huang. (2011). The Grünwald–Letnikov method for fractional differential equations. Computers & Mathematics with Applications. 62(3). 902–917. 341 indexed citations breakdown →
3.
Wang, Lijin, Jialin Hong, & Rudolf Scherer. (2011). Symplectic Numerical Methods for a Linear Stochastic Oscillator with Two Additive Noises. 2 indexed citations
4.
Qin, Mengzhao, et al.. (2010). Multi-symplectic Birkhoffian structure for PDEs with dissipation terms. Physics Letters A. 374(24). 2410–2416. 14 indexed citations
5.
Hong, Jialin, Rudolf Scherer, & Lijin Wang. (2007). Predictor–corrector methods for a linear stochastic oscillator with additive noise. Mathematical and Computer Modelling. 46(5-6). 738–764. 16 indexed citations
6.
Scherer, Rudolf, et al.. (2007). On the Riemann–Liouville fractional calculus, g-Jacobi functions and F-Gauss functions. Applied Mathematics and Computation. 187(1). 315–325. 23 indexed citations
7.
Scherer, Rudolf, et al.. (2007). Numerical treatment of fractional heat equations. Applied Numerical Mathematics. 58(8). 1212–1223. 57 indexed citations
8.
Scherer, Rudolf, et al.. (2006). Asymptotic expansions of singular solutions for (3+1)-D Protter problems. Journal of Mathematical Analysis and Applications. 331(2). 1093–1112. 13 indexed citations
9.
Tang, Yun, et al.. (2006). Stability analysis of equilibrium manifolds for a two-predators one-prey model. Tsinghua Science & Technology. 11(6). 739–744. 3 indexed citations
10.
Scherer, Rudolf, et al.. (2000). Estimating quadrature errors for analytic functions using kernel representations and biorthogonal systems. Numerische Mathematik. 84(3). 497–518. 16 indexed citations
11.
Scherer, Rudolf, et al.. (1998). Gauss-Runge-Kutta-Nyström methods. BIT Numerical Mathematics. 38(1). 12–21. 6 indexed citations
12.
Scherer, Rudolf, et al.. (1997). Hamiltonian systems and symplectic integrators. Nonlinear Analysis. 30(3). 1887–1892. 4 indexed citations
13.
Scherer, Rudolf, et al.. (1994). Complete Algebraic Characterization of A-Stable Runge–Kutta Methods. SIAM Journal on Numerical Analysis. 31(2). 540–551. 4 indexed citations
14.
Scherer, Rudolf, et al.. (1994). A generalization of the positive real lemma. IEEE Transactions on Automatic Control. 39(4). 882–886. 14 indexed citations
15.
Scherer, Rudolf. (1994). REDUCIBILITY AND CHARACTERIZATION OF SYMPLECTIC RUNGE{KUTTA METHODS. 6 indexed citations
16.
Scherer, Rudolf, et al.. (1989). Non-Minimal Runge-Kutta Methods. Results in Mathematics. 16(3-4). 299–307. 1 indexed citations
17.
Scherer, Rudolf, et al.. (1983). Reflected and transposed Runge-Kutta methods. BIT Numerical Mathematics. 23(2). 262–266. 16 indexed citations
18.
Scherer, Rudolf. (1979). A necessary condition forB-stability. BIT Numerical Mathematics. 19(1). 111–115. 13 indexed citations
19.
Scherer, Rudolf. (1972). Fehlerabschätzung für ein Runge-Kutta-Verfahren mit mehrfachen Knoten. Computing. 10(4). 391–396.
20.
Scherer, Rudolf. (1972). Herleitung von Runge-Kutta-Verfahren der Ordnung vier mit �bersichtlichen Fehlerdarstellungen. Mathematische Zeitschrift. 128(4). 311–323. 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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