Ronald Grimmer

1.5k total citations
42 papers, 1.1k citations indexed

About

Ronald Grimmer is a scholar working on Applied Mathematics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, Ronald Grimmer has authored 42 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Applied Mathematics, 19 papers in Numerical Analysis and 17 papers in Computational Theory and Mathematics. Recurrent topics in Ronald Grimmer's work include Nonlinear Differential Equations Analysis (19 papers), Advanced Mathematical Modeling in Engineering (16 papers) and Differential Equations and Numerical Methods (14 papers). Ronald Grimmer is often cited by papers focused on Nonlinear Differential Equations Analysis (19 papers), Advanced Mathematical Modeling in Engineering (16 papers) and Differential Equations and Numerical Methods (14 papers). Ronald Grimmer collaborates with scholars based in United States, Austria and United Kingdom. Ronald Grimmer's co-authors include Wolfgang Desch, A. J. Pritchard, Wilhelm Schappacher, T. A. Burton, Franz Kappel, George Seifert, Jan Prüß, Goong Chen, Richard K. Miller and Eugenio Sinestrari and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Journal of Differential Equations.

In The Last Decade

Ronald Grimmer

38 papers receiving 936 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Ronald Grimmer United States 18 902 593 441 385 228 42 1.1k
J. Bebernes United States 18 559 0.6× 221 0.4× 300 0.7× 373 1.0× 70 0.3× 46 826
Hernán R. Henrı́quez Chile 22 1.7k 1.9× 1.2k 2.0× 774 1.8× 457 1.2× 575 2.5× 97 1.9k
A. S. Kalashnikov Russia 9 591 0.7× 150 0.3× 236 0.5× 504 1.3× 42 0.2× 27 829
Philippe Clément Netherlands 17 812 0.9× 140 0.2× 144 0.3× 610 1.6× 99 0.4× 46 1.0k
Samuil D. Eidelman Ukraine 10 528 0.6× 99 0.2× 245 0.6× 169 0.4× 358 1.6× 26 752
Štefan Schwabik Czechia 14 558 0.6× 178 0.3× 188 0.4× 156 0.4× 115 0.5× 59 729
B. N. Sadovskii Russia 5 626 0.7× 275 0.5× 133 0.3× 248 0.6× 203 0.9× 11 824
И. Т. Кигурадзе Georgia 16 1.1k 1.2× 134 0.2× 998 2.3× 229 0.6× 134 0.6× 95 1.3k
Donal O’Regan Ireland 12 959 1.1× 264 0.4× 626 1.4× 201 0.5× 350 1.5× 45 1.1k
Ludwik Byszewski Poland 13 1.8k 2.0× 878 1.5× 404 0.9× 170 0.4× 954 4.2× 40 1.8k

Countries citing papers authored by Ronald Grimmer

Since Specialization
Citations

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

Fields of papers citing papers by Ronald Grimmer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ronald Grimmer

This figure shows the co-authorship network connecting the top 25 collaborators of Ronald Grimmer. A scholar is included among the top collaborators of Ronald Grimmer 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 Ronald Grimmer. Ronald Grimmer 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.
Desch, Wolfgang & Ronald Grimmer. (2003). Spectral resolution for integro-differential equations. 151–154. 1 indexed citations
2.
Grimmer, Ronald, et al.. (1994). Limiting Equations of Integrodifferential Equations in Banach Space. Journal of Mathematical Analysis and Applications. 188(1). 78–91. 5 indexed citations
3.
Desch, Wolfgang & Ronald Grimmer. (1989). Singular relaxation moduli and smoothing in three-dimensional viscoelasticity. Transactions of the American Mathematical Society. 314(1). 381–404. 19 indexed citations
4.
Desch, Wolfgang & Ronald Grimmer. (1989). Singular Relaxation Moduli and Smoothing in Three-Dimensional Viscoelasticity. Transactions of the American Mathematical Society. 314(1). 381–381. 4 indexed citations
5.
Desch, Wolfgang, Ronald Grimmer, & Wilhelm Schappacher. (1988). Wellposedness and wave propagation for a class of integrodifferential equations in Banach space. Journal of Differential Equations. 74(2). 391–411. 46 indexed citations
6.
Grimmer, Ronald, et al.. (1986). Propagation of singularities for integrodifferential equations. Journal of Differential Equations. 65(3). 411–426. 17 indexed citations
7.
Grimmer, Ronald & Jan Prüß. (1985). On linear Volterra equations in Banach spaces. Computers & Mathematics with Applications. 11(1-3). 189–205. 53 indexed citations
8.
Grimmer, Ronald, et al.. (1984). Wave propagation for linear integrodifferential equations in banach space. Journal of Differential Equations. 54(2). 274–282. 8 indexed citations
9.
Desch, Wolfgang, Ronald Grimmer, & Wilhelm Schappacher. (1984). Some considerations for Linear integrodifferential equations. Journal of Mathematical Analysis and Applications. 104(1). 219–234. 109 indexed citations
10.
Grimmer, Ronald & A. J. Pritchard. (1983). Analytic resolvent operators for integral equations in Banach space. Journal of Differential Equations. 50(2). 234–259. 148 indexed citations
11.
Grimmer, Ronald. (1982). Resolvent operators for integral equations in a Banach space. Transactions of the American Mathematical Society. 273(1). 333–349. 255 indexed citations
12.
Chen, Goong & Ronald Grimmer. (1982). Integral equations as evolution equations. Journal of Differential Equations. 45(1). 53–74. 20 indexed citations
13.
Grimmer, Ronald, et al.. (1980). Nonoscillatory solutions of higher order delay equations. Journal of Mathematical Analysis and Applications. 77(1). 150–164. 20 indexed citations
14.
Grimmer, Ronald. (1979). Existence of periodic solutions of functional differential equations. Journal of Mathematical Analysis and Applications. 72(2). 666–673. 13 indexed citations
15.
Grimmer, Ronald. (1977). Comparison theorems for third- and fourth-order linear equations. Journal of Differential Equations. 25(1). 1–10. 5 indexed citations
16.
Grimmer, Ronald & Richard K. Miller. (1977). Existence, uniqueness, and continuity for integral equations in a Banach space. Journal of Mathematical Analysis and Applications. 57(2). 429–447. 15 indexed citations
17.
Grimmer, Ronald & William T. Patula. (1976). Nonoscillatory solutions of forced second-order linear equations. Journal of Mathematical Analysis and Applications. 56(2). 452–459. 7 indexed citations
18.
Grimmer, Ronald. (1974). Oscillation criteria and growth of nonoscillatory solutions of even order ordinary and delay-differential equations. Transactions of the American Mathematical Society. 198. 215–215. 11 indexed citations
19.
Grimmer, Ronald. (1972). Stability of a Scalar Differential Equation. Proceedings of the American Mathematical Society. 32(2). 452–452. 3 indexed citations
20.
Burton, T. A. & Ronald Grimmer. (1971). On continuability of solutions of second order differential equations.. Proceedings of the American Mathematical Society. 29(2). 277–283. 26 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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