Roman Šimon Hilscher

1.7k total citations
106 papers, 1.2k citations indexed

About

Roman Šimon Hilscher is a scholar working on Applied Mathematics, Numerical Analysis and Mathematical Physics. According to data from OpenAlex, Roman Šimon Hilscher has authored 106 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Applied Mathematics, 48 papers in Numerical Analysis and 47 papers in Mathematical Physics. Recurrent topics in Roman Šimon Hilscher's work include Spectral Theory in Mathematical Physics (45 papers), Nonlinear Differential Equations Analysis (44 papers) and Numerical methods for differential equations (41 papers). Roman Šimon Hilscher is often cited by papers focused on Spectral Theory in Mathematical Physics (45 papers), Nonlinear Differential Equations Analysis (44 papers) and Numerical methods for differential equations (41 papers). Roman Šimon Hilscher collaborates with scholars based in Czechia, United States and Germany. Roman Šimon Hilscher's co-authors include Vera Zeidan, Ondřej Došlý, Werner Kratz, Martin Böhner, W. Kratz, P. Řehák, Christopher C. Tisdell, Stefan Siegmund and Petr Stehlík and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Applied Mathematics and Computation.

In The Last Decade

Roman Šimon Hilscher

104 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Roman Šimon Hilscher Czechia 19 608 585 479 413 407 106 1.2k
Ondřej Došlý Czechia 21 1.1k 1.8× 1.3k 2.3× 483 1.0× 219 0.5× 422 1.0× 140 1.7k
Donald A. Lutz United States 16 270 0.4× 320 0.5× 207 0.4× 151 0.4× 237 0.6× 40 752
Yuri Latushkin United States 18 160 0.3× 652 1.1× 559 1.2× 276 0.7× 473 1.2× 75 1.3k
Nguyễn Văn Minh Vietnam 23 408 0.7× 970 1.7× 158 0.3× 73 0.2× 394 1.0× 101 1.3k
Junxiang Xu China 17 199 0.3× 610 1.0× 555 1.2× 675 1.6× 446 1.1× 130 1.3k
Andrzej Szulkin Sweden 25 279 0.5× 2.5k 4.3× 1.5k 3.1× 275 0.7× 1.7k 4.1× 61 2.9k
Angelo B. Mingarelli Canada 14 260 0.4× 318 0.5× 305 0.6× 103 0.2× 306 0.8× 58 701
Joseph Wiener United States 18 677 1.1× 659 1.1× 115 0.2× 145 0.4× 162 0.4× 56 1.2k
Krzysztof P. Rybakowski Germany 15 107 0.2× 352 0.6× 296 0.6× 217 0.5× 407 1.0× 67 845
А. М. Самойленко Ukraine 10 323 0.5× 326 0.6× 187 0.4× 243 0.6× 105 0.3× 96 726

Countries citing papers authored by Roman Šimon Hilscher

Since Specialization
Citations

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

Fields of papers citing papers by Roman Šimon Hilscher

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Roman Šimon Hilscher. 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 Roman Šimon Hilscher. The network helps show where Roman Šimon Hilscher may publish in the future.

Co-authorship network of co-authors of Roman Šimon Hilscher

This figure shows the co-authorship network connecting the top 25 collaborators of Roman Šimon Hilscher. A scholar is included among the top collaborators of Roman Šimon Hilscher 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 Roman Šimon Hilscher. Roman Šimon Hilscher 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.
Hilscher, Roman Šimon, et al.. (2024). Contributions to Generalized Oscillation Theory of Linear Hamiltonian Systems. Results in Mathematics. 79(8).
2.
Hilscher, Roman Šimon, et al.. (2023). Comparative index and Hörmander index in finite dimension and their connections. Filomat. 37(16). 5243–5257. 1 indexed citations
3.
Hilscher, Roman Šimon, et al.. (2020). Singular Sturmian comparison theorems for linear Hamiltonian systems. Journal of Differential Equations. 269(4). 2920–2955. 8 indexed citations
4.
Hilscher, Roman Šimon, et al.. (2013). Oscillation and spectral theory of Sturm-Liouville differential equations with nonlinear dependence in spectral parameter. Dynamic Systems and Applications. 22(1). 1 indexed citations
5.
Hilscher, Roman Šimon, et al.. (2011). Overview of Weyl-Titchmarsh Theory for Second Order Sturm-Liouville Equations on Time Scales. 6(1). 730–3. 5 indexed citations
6.
Hilscher, Roman Šimon & Vera Zeidan. (2010). Symplectic Structure of Jacobi Systems on Time Scales. 5(1). 8 indexed citations
7.
Hilscher, Roman Šimon, et al.. (2009). Trigonometric and hyperbolic systems on time scales. Dynamic Systems and Applications. 18. 6 indexed citations
8.
Hilscher, Roman Šimon, Werner Kratz, & Vera Zeidan. (2009). Differentiation of solutions of dynamic equations on time scales with respect to parameters. 4(1). 11 indexed citations
9.
Tisdell, Christopher C. & Roman Šimon Hilscher. (2008). Terminal value problems for first and second order nonlinear equations on time scales. SHILAP Revista de lepidopterología. 5 indexed citations
10.
Hilscher, Roman Šimon, et al.. (2007). Perturbation of time scale quadratic functionals with variableendpoints. 2(2). 6 indexed citations
11.
Hilscher, Roman Šimon & Vera Zeidan. (2007). LEGENDRE, JACOBI, AND RICCATI TYPE CONDITIONS FOR TIME SCALE VARIATIONAL PROBLEM WITH APPLICATION. Dynamic Systems and Applications. 16(3). 451–480. 9 indexed citations
12.
Hilscher, Roman Šimon & Vera Zeidan. (2007). Extension of Discrete LQR-Problem to Symplectic Systems ∗. 2(2). 7 indexed citations
13.
Hilscher, Roman Šimon, et al.. (2006). Implicit Riccati equations and quadratic functionals for discrete symplectic systems. 1(1). 14 indexed citations
14.
Hilscher, Roman Šimon & P. Řehák. (2003). RICCATI INEQUALITY, DISCONJUGACY, AND RECIPROCITY PRINCIPLE FOR LINEAR HAMILTONIAN DYNAMIC SYSTEMS. Dynamic Systems and Applications. 12. 5 indexed citations
15.
Došlý, Ondřej, Roman Šimon Hilscher, & Vera Zeidan. (2003). Nonnegativity of discrete quadratic functionals corresponding to symplectic difference systems. Linear Algebra and its Applications. 375. 21–44. 13 indexed citations
16.
Kratz, Werner, et al.. (2002). Diagonalization approach to discrete quadratic functionals. 2002(7). 160–171. 4 indexed citations
17.
Hilscher, Roman Šimon. (2001). Discrete spectra criteria for certain classes of singular differential and difference operators. Computers & Mathematics with Applications. 42(3-5). 465–476. 12 indexed citations
18.
Hilscher, Roman Šimon, et al.. (2000). Spectral properties of general self-adjoint, even order differential operators. Mathematica Slovaca. 50(2). 2 indexed citations
19.
Hilscher, Roman Šimon. (1999). Linear Hamiltonian systems on time scales: transformations. Dynamic Systems and Applications. 8. 10 indexed citations
20.
Došlý, Ondřej & Roman Šimon Hilscher. (1999). Linear Hamiltonian difference systems: Transformations, recessive solutions, generalized reciprocity. Dynamic Systems and Applications. 8(2). 16 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.

Explore authors with similar magnitude of impact

Rankless by CCL
2026