Danielle Hilhorst

1.5k total citations
83 papers, 1.1k citations indexed

About

Danielle Hilhorst is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Public Health, Environmental and Occupational Health. According to data from OpenAlex, Danielle Hilhorst has authored 83 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Computational Theory and Mathematics, 30 papers in Applied Mathematics and 22 papers in Public Health, Environmental and Occupational Health. Recurrent topics in Danielle Hilhorst's work include Advanced Mathematical Modeling in Engineering (34 papers), Mathematical and Theoretical Epidemiology and Ecology Models (22 papers) and Nonlinear Partial Differential Equations (17 papers). Danielle Hilhorst is often cited by papers focused on Advanced Mathematical Modeling in Engineering (34 papers), Mathematical and Theoretical Epidemiology and Ecology Models (22 papers) and Nonlinear Partial Differential Equations (17 papers). Danielle Hilhorst collaborates with scholars based in France, Japan and United States. Danielle Hilhorst's co-authors include Michiel Bertsch, Masayasu Mimura, L. A. Peletier, Morton E. Gurtin, Reiner Schätzle, Dieter Bothe, Piotr Biler, Tadeusz Nadzieja, Paul C. Fife and Masato Iida and has published in prestigious journals such as SHILAP Revista de lepidopterología, Electrochimica Acta and Computer Methods in Applied Mechanics and Engineering.

In The Last Decade

Danielle Hilhorst

76 papers receiving 928 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Danielle Hilhorst France 20 452 288 272 266 202 83 1.1k
Nicholas D. Alikakos United States 17 499 1.1× 433 1.5× 462 1.7× 293 1.1× 103 0.5× 35 1.2k
Michiel Bertsch Italy 24 790 1.7× 230 0.8× 756 2.8× 147 0.6× 198 1.0× 96 1.6k
Régis Monneau France 21 671 1.5× 144 0.5× 842 3.1× 249 0.9× 79 0.4× 107 1.4k
Messoud Efendiev Germany 20 773 1.7× 250 0.9× 351 1.3× 73 0.3× 201 1.0× 108 1.5k
Alberto Tesei Italy 21 630 1.4× 178 0.6× 854 3.1× 242 0.9× 36 0.2× 113 1.3k
P. de Mottoni Italy 13 234 0.5× 136 0.5× 245 0.9× 305 1.1× 114 0.6× 41 722
Bruno Scheurer France 7 324 0.7× 85 0.3× 226 0.8× 127 0.5× 133 0.7× 11 891
Jianhua Huang China 18 195 0.4× 303 1.1× 294 1.1× 475 1.8× 82 0.4× 148 1.3k
Salvatore Rionero Italy 26 517 1.1× 222 0.8× 667 2.5× 213 0.8× 59 0.3× 135 2.3k
Y. S. Choi United States 20 365 0.8× 233 0.8× 453 1.7× 159 0.6× 19 0.1× 57 1.1k

Countries citing papers authored by Danielle Hilhorst

Since Specialization
Citations

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

Fields of papers citing papers by Danielle Hilhorst

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Danielle Hilhorst

This figure shows the co-authorship network connecting the top 25 collaborators of Danielle Hilhorst. A scholar is included among the top collaborators of Danielle Hilhorst 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 Danielle Hilhorst. Danielle Hilhorst 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.
Hilhorst, Danielle, et al.. (2024). Fick’s law selects the Neumann boundary condition. Nonlinear Analysis. 245. 113561–113561. 4 indexed citations
2.
Hilhorst, Danielle, et al.. (2024). Anodic dissolution model with diffusion–migration transport for simulating localized corrosion. Electrochimica Acta. 477. 143806–143806.
3.
Funaki, Tadahisa, et al.. (2022). Singular limit of an Allen–Cahn equation withnonlinear diffusion. SPIRE - Sciences Po Institutional REpository. 4(4). 719–754. 2 indexed citations
4.
Hilhorst, Danielle & Yong-Jung Kim. (2016). Diffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed. Applied Mathematics Letters. 60. 28–35. 6 indexed citations
5.
Crooks, Elaine & Danielle Hilhorst. (2016). Self-similar fast-reaction limits for reaction–diffusion systems on unbounded domains. Journal of Differential Equations. 261(3). 2210–2250. 5 indexed citations
6.
Hilhorst, Danielle, et al.. (2014). Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium. Networks and Heterogeneous Media. 9(4). 669–682. 2 indexed citations
7.
Hilhorst, Danielle, et al.. (2008). Interface dynamics of the Fisher equation with degenerate diffusion. Journal of Differential Equations. 244(11). 2870–2889. 12 indexed citations
8.
Crooks, Elaine, E. N. Dancer, & Danielle Hilhorst. (2007). On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions. Topological Methods in Nonlinear Analysis. 30(1). 1–36. 16 indexed citations
9.
Hilhorst, Danielle, John R. King, & Matthias Röger. (2005). Mathematical analysis of a model describing the invasion of bacteria in burn wounds. TU/e Research Portal (Eindhoven University of Technology). 521. 1 indexed citations
10.
Bothe, Dieter & Danielle Hilhorst. (2003). A reaction–diffusion system with fast reversible reaction. Journal of Mathematical Analysis and Applications. 286(1). 125–135. 45 indexed citations
11.
Eymard, Robert, et al.. (2002). A Preconditioned Conjugate Gradient Based Algorithm for Coupling Geomechanical-Reservoir Simulations. Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles. 57(5). 515–523. 7 indexed citations
12.
Hilhorst, Danielle, L. A. Peletier, & Reiner Schätzle. (2002). Γ-limit for the extended Fisher–Kolmogorov equation. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 132(1). 141–162. 11 indexed citations
13.
Hilhorst, Danielle, et al.. (2001). Regularity of Interfaces for an Inhomogeneous Filtration Equation. Advanced Nonlinear Studies. 1(1). 80–101. 1 indexed citations
14.
Bertsch, Michiel, et al.. (1999). Large time behaviour of solutions of scalar viscous and nonviscous conservation laws. Applied Mathematics Letters. 12(3). 83–87. 2 indexed citations
15.
Hilhorst, Danielle & R. van der Hout. (1997). Diffusion in the Presence of Fast Reaction : the Case of a General Monotone Reaction Term. Journal of mathematical sciences. 4(3). 469–517. 15 indexed citations
16.
Hilhorst, Danielle & Josephus Hulshof. (1994). A free boundary focusing problem. Proceedings of the American Mathematical Society. 121(4). 1193–1202. 11 indexed citations
17.
Abergel, Frédéric, et al.. (1993). On a Dissolution-Growth Problem with Surface Tension in the Neighborhood of a Stationary Solution. SIAM Journal on Mathematical Analysis. 24(2). 299–316. 4 indexed citations
18.
Hilhorst, Danielle, et al.. (1991). Universal attractor and inertial sets for the phase field model. Applied Mathematics Letters. 4(6). 59–62. 26 indexed citations
19.
Bertsch, Michiel, Morton E. Gurtin, & Danielle Hilhorst. (1987). On a degenerate diffusion equation of the form c(z)t = ϑ(zx)x with application to population dynamics. Journal of Differential Equations. 67(1). 56–89. 18 indexed citations
20.
Diekmann, Odo, Danielle Hilhorst, & L. A. Peletier. (1980). A Singular Boundary Value Problem Arising in a Pre-Breakdown Gas Discharge. SIAM Journal on Applied Mathematics. 39(1). 48–66. 2 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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