Reinhard Schäfke

876 total citations
48 papers, 460 citations indexed

About

Reinhard Schäfke is a scholar working on Numerical Analysis, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Reinhard Schäfke has authored 48 papers receiving a total of 460 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Numerical Analysis, 18 papers in Geometry and Topology and 18 papers in Applied Mathematics. Recurrent topics in Reinhard Schäfke's work include Advanced Differential Equations and Dynamical Systems (16 papers), Numerical methods for differential equations (14 papers) and Differential Equations and Numerical Methods (9 papers). Reinhard Schäfke is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (16 papers), Numerical methods for differential equations (14 papers) and Differential Equations and Numerical Methods (9 papers). Reinhard Schäfke collaborates with scholars based in France, United States and Germany. Reinhard Schäfke's co-authors include Donald A. Lutz, Dieter Schmidt, Jean-Pierre Ramis, Jaume Ramis, Yasutaka Sibuya, T. M. Dunster, Michael F. Singer, Éric Benoît, Hans Volkmer and Jean-Philippe Rolin and has published in prestigious journals such as Lecture notes in mathematics, Journal of Mathematical Analysis and Applications and American Mathematical Monthly.

In The Last Decade

Reinhard Schäfke

43 papers receiving 397 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Reinhard Schäfke France 11 177 168 163 162 114 48 460
Donald A. Lutz United States 16 151 0.9× 320 1.9× 270 1.7× 205 1.3× 237 2.1× 40 752
Jean-Pierre Ramis France 13 231 1.3× 220 1.3× 91 0.6× 396 2.4× 159 1.4× 25 672
Jorge Ize Mexico 11 121 0.7× 99 0.6× 42 0.3× 137 0.8× 63 0.6× 22 351
Angelo B. Mingarelli Canada 14 103 0.6× 318 1.9× 260 1.6× 51 0.3× 306 2.7× 58 701
Paul Blanchard United States 9 173 1.0× 94 0.6× 155 1.0× 187 1.2× 109 1.0× 13 577
P. J. Bushell United Kingdom 11 44 0.2× 221 1.3× 90 0.6× 84 0.5× 90 0.8× 21 393
Yuri Bozhkov Brazil 11 229 1.3× 120 0.7× 51 0.3× 91 0.6× 76 0.7× 39 379
E.K. Ifantis Greece 11 66 0.4× 287 1.7× 93 0.6× 74 0.5× 67 0.6× 46 427
Genrich Belitskii Israel 11 175 1.0× 89 0.5× 55 0.3× 230 1.4× 88 0.8× 34 419
Todor Gramchev Italy 12 102 0.6× 266 1.6× 38 0.2× 86 0.5× 56 0.5× 55 426

Countries citing papers authored by Reinhard Schäfke

Since Specialization
Citations

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

Fields of papers citing papers by Reinhard Schäfke

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Reinhard Schäfke

This figure shows the co-authorship network connecting the top 25 collaborators of Reinhard Schäfke. A scholar is included among the top collaborators of Reinhard Schäfke 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 Reinhard Schäfke. Reinhard Schäfke 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.
Schäfke, Reinhard, et al.. (2020). Tauberian theorems for k–summability with respect to an analytic germ. Journal of Mathematical Analysis and Applications. 489(2). 124174–124174. 2 indexed citations
2.
Schäfke, Reinhard & Michael F. Singer. (2019). Consistent systems of linear differential and difference equations. Journal of the European Mathematical Society. 21(9). 2751–2792. 1 indexed citations
3.
Schäfke, Reinhard & Michael F. Singer. (2016). Consistent systems of linear differential and difference equations. arXiv (Cornell University). 8 indexed citations
4.
Schäfke, Reinhard, et al.. (2012). Composite Asymptotic Expansions. Lecture notes in mathematics. 15 indexed citations
5.
Schäfke, Reinhard, et al.. (2008). Sur le retard à la bifurcation. HAL (Le Centre pour la Communication Scientifique Directe). Volume 9, 2007 Conference in.... 2 indexed citations
6.
Rolin, Jean-Philippe, et al.. (2007). Quasi-analytic solutions of analytic ordinary differential equations and o-minimal structures. Proceedings of the London Mathematical Society. 95(2). 413–442. 8 indexed citations
7.
Schäfke, Reinhard, et al.. (2006). Monomial summability and doubly singular differential equations. Journal of Differential Equations. 233(2). 485–511. 26 indexed citations
8.
Bertrand, Daniel, et al.. (2006). Differential Equations and Quantum Groups: Andrey A. Bolibrukh Memorial Volume. Medical Entomology and Zoology. 1 indexed citations
9.
Schäfke, Reinhard, et al.. (2004). Classification of resonant equations. Journal of Differential Equations. 207(2). 360–391. 5 indexed citations
10.
Schäfke, Reinhard, et al.. (2003). On the normal form of a system of differential equations with nilpotent linear part. Comptes Rendus Mathématique. 336(2). 129–134. 2 indexed citations
11.
Schäfke, Reinhard. (2001). Formal Fundamental Solutions of Irregular Singular Differential Equations Depending Upon Parameters. Journal of Dynamical and Control Systems. 7(4). 501–533. 7 indexed citations
12.
Balser, Werner, Donald A. Lutz, & Reinhard Schäfke. (1999). On the convergence of Borel approximants. 1999(4). 81–106. 2 indexed citations
13.
Lutz, Donald A. & Reinhard Schäfke. (1996). On the reduction of a class of nonhomogenous linear difference equations. The Journal of Difference Equations and Applications. 2(4). 423–436. 1 indexed citations
14.
Schäfke, Reinhard, et al.. (1996). Exponentially small splitting of separatrices for difference equations with small step size. Journal of Dynamical and Control Systems. 2(2). 193–238. 9 indexed citations
15.
Dunster, T. M., Donald A. Lutz, & Reinhard Schäfke. (1993). Convergent Liouville–Green expansions for second-order linear differential equations, with an application to Bessel functions. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 440(1908). 37–54. 17 indexed citations
16.
Vince, Andrew, Mowaffaq Hajja, Richard K. Guy, et al.. (1993). Problems: 10314-10321. American Mathematical Monthly. 100(6). 589–589. 3 indexed citations
17.
Volkmer, Hans & Reinhard Schäfke. (1992). Asymptotic analysis of the equichordal problem.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1992(425). 9–60. 4 indexed citations
18.
Volkmer, Hans & Reinhard Schäfke. (1986). On the reduction of the Poincaré rank of singular systems of ordinary differential equations.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1986(365). 80–96. 1 indexed citations
19.
Lutz, Donald A. & Reinhard Schäfke. (1985). On the identification and stability of formal invariants for singular differential equations. Linear Algebra and its Applications. 72. 1–46. 19 indexed citations
20.
Schäfke, Reinhard & Hans Volkmer. (1985). A note on the paper “Existence conditions for eigenvalue problems generated by compact multiparameter operators” by P. Binding, P. J. Browne and L. Turyn. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 101(1-2). 147–148.

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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