Lutz Recke

827 total citations
71 papers, 500 citations indexed

About

Lutz Recke is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, Lutz Recke has authored 71 papers receiving a total of 500 indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Computational Theory and Mathematics, 31 papers in Applied Mathematics and 28 papers in Numerical Analysis. Recurrent topics in Lutz Recke's work include Advanced Mathematical Modeling in Engineering (35 papers), Differential Equations and Numerical Methods (27 papers) and Nonlinear Partial Differential Equations (18 papers). Lutz Recke is often cited by papers focused on Advanced Mathematical Modeling in Engineering (35 papers), Differential Equations and Numerical Methods (27 papers) and Nonlinear Partial Differential Equations (18 papers). Lutz Recke collaborates with scholars based in Germany, Russia and Ukraine. Lutz Recke's co-authors include К. R. Schneider, Н. Н. Нефедов, Serhiy Yanchuk, Oleh E. Omel’chenko, Jan Eisner, В. Ф. Бутузов, Milan Kučera, Н. Н. Нефедов, Konrad Gröger and Mark Lichtner and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Optics Communications.

In The Last Decade

Lutz Recke

63 papers receiving 439 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Lutz Recke Germany 12 261 195 177 101 98 71 500
V. A. Trenogin Russia 6 120 0.5× 114 0.6× 127 0.7× 97 1.0× 38 0.4× 19 447
Chang‐Yeol Jung South Korea 13 229 0.9× 129 0.7× 267 1.5× 39 0.4× 31 0.3× 64 525
Jie Xin China 10 151 0.6× 182 0.9× 152 0.9× 166 1.6× 77 0.8× 50 563
Yiorgos‐Sokratis Smyrlis Cyprus 15 117 0.4× 45 0.2× 101 0.6× 107 1.1× 117 1.2× 43 644
A. P. Mikhailov Russia 8 264 1.0× 381 2.0× 184 1.0× 251 2.5× 18 0.2× 14 659
Bruce A. Wade United States 13 62 0.2× 71 0.4× 263 1.5× 39 0.4× 27 0.3× 48 547
Zdenĕk Šmarda Czechia 17 63 0.2× 733 3.8× 311 1.8× 59 0.6× 76 0.8× 101 1.0k
Jerrold Bebernes United States 5 231 0.9× 344 1.8× 188 1.1× 166 1.6× 29 0.3× 5 595
Roman Wituła Poland 11 71 0.3× 79 0.4× 121 0.7× 70 0.7× 17 0.2× 79 484
Nobuyuki Kenmochi Japan 16 679 2.6× 418 2.1× 131 0.7× 150 1.5× 35 0.4× 79 933

Countries citing papers authored by Lutz Recke

Since Specialization
Citations

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

Fields of papers citing papers by Lutz Recke

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Lutz Recke

This figure shows the co-authorship network connecting the top 25 collaborators of Lutz Recke. A scholar is included among the top collaborators of Lutz Recke 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 Lutz Recke. Lutz Recke 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.
Нефедов, Н. Н., et al.. (2024). On the Existence and Asymptotic Stability of Two-Dimensional Periodic Solutions with an Internal Transition Layer in a Problem with a Finite Advection. Russian Journal of Mathematical Physics. 31(4). 719–736.
2.
Бутузов, В. Ф., Н. Н. Нефедов, Oleh E. Omel’chenko, & Lutz Recke. (2021). Boundary layer solutions to singularly perturbed quasilinear systems. Discrete and Continuous Dynamical Systems - B. 27(8). 4255–4255. 3 indexed citations
3.
Recke, Lutz & Lubomira G. Softova. (2018). Nonlinear Parabolic Operators with Perturbed Coefficients. Communications in Mathematics and Applications. 9(3). 277–292. 1 indexed citations
4.
Omel’chenko, Oleh E., Lutz Recke, В. Ф. Бутузов, & Н. Н. Нефедов. (2017). Time-periodic boundary layer solutions to singularly perturbed parabolic problems. Journal of Differential Equations. 262(9). 4823–4862. 17 indexed citations
5.
Lukyanenko, D. V., et al.. (2016). Analytic-Numerical Approach to Solving Singularly Perturbed Parabolic Equations with the Use of Dynamic Adapted Meshes. SHILAP Revista de lepidopterología. 23(3). 334–341. 10 indexed citations
6.
Recke, Lutz, et al.. (2016). Exponential dichotomy for hyperbolic systems with periodic boundary conditions. Journal of Differential Equations. 262(3). 2493–2520. 3 indexed citations
7.
Recke, Lutz, et al.. (2014). Hopf bifurcation for semilinear dissipative hyperbolic systems. Journal of Differential Equations. 257(1). 264–309. 6 indexed citations
8.
Нефедов, Н. Н., Lutz Recke, & К. R. Schneider. (2013). Existence and asymptotic stability of periodic solutions with an interior layer of reaction–advection–diffusion equations. Journal of Mathematical Analysis and Applications. 405(1). 90–103. 59 indexed citations
9.
Recke, Lutz, et al.. (2011). Fredholmness and smooth dependence for linear time-periodic hyperbolic systems. Journal of Differential Equations. 252(2). 1962–1986. 4 indexed citations
10.
Recke, Lutz, et al.. (2010). Fredholmness and Smooth Dependence for Linear Hyperbolic Periodic-Dirichlet Problems. arXiv (Cornell University). 4 indexed citations
11.
Omel’chenko, Oleh E. & Lutz Recke. (2009). Boundary layer solutions to singularly perturbed problems via the implicit function theorem. Asymptotic Analysis. 62(3-4). 207–225. 9 indexed citations
12.
Бутузов, В. Ф., Н. Н. Нефедов, Lutz Recke, & К. R. Schneider. (2008). Existence and stability of solutions with periodically moving weak internal layers. Journal of Mathematical Analysis and Applications. 348(1). 508–515. 5 indexed citations
13.
Recke, Lutz & Oleh E. Omel’chenko. (2008). Boundary layer solutions to problems with infinite-dimensional singular and regular perturbations. Journal of Differential Equations. 245(12). 3806–3822. 10 indexed citations
14.
Recke, Lutz, et al.. (2007). Fredholm alternative for periodic-Dirichlet problems for linear hyperbolic systems. Journal of Mathematical Analysis and Applications. 335(1). 355–370. 7 indexed citations
15.
Eisner, Jan, Milan Kučera, & Lutz Recke. (2004). Direction and stability of bifurcation branches for variational inequalities. Journal of Mathematical Analysis and Applications. 301(2). 276–294. 5 indexed citations
16.
Yanchuk, Serhiy, К. R. Schneider, & Lutz Recke. (2004). Dynamics of two mutually coupled semiconductor lasers: Instantaneous coupling limit. Physical Review E. 69(5). 56221–56221. 52 indexed citations
17.
Recke, Lutz, Jan Eisner, & Milan Kučera. (2003). Smooth dependence on parameters of solutions and contact regions for an obstacle problem. Journal of Mathematical Analysis and Applications. 288(2). 462–480. 4 indexed citations
18.
Eisner, Jan, Milan Kučera, & Lutz Recke. (2002). Smooth continuation of solutions and eigenvalues for variational inequalities based on the implicit function theorem. Journal of Mathematical Analysis and Applications. 274(1). 159–180. 15 indexed citations
19.
Recke, Lutz, et al.. (1998). Abstract Forced Symmetry Breaking and Forced Frequency Locking of Modulated Waves. Journal of Differential Equations. 144(2). 233–262. 10 indexed citations
20.
Recke, Lutz. (1995). Applications of the implicit function theorem to quasilinear elliptic boundary value problems with non-smooth data. Communications in Partial Differential Equations. 20(9-10). 1457–1479. 9 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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