Patrick J. Browne

1.8k total citations
90 papers, 1.3k citations indexed

About

Patrick J. Browne is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Patrick J. Browne has authored 90 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 61 papers in Mathematical Physics, 48 papers in Computational Theory and Mathematics and 34 papers in Applied Mathematics. Recurrent topics in Patrick J. Browne's work include Spectral Theory in Mathematical Physics (55 papers), Matrix Theory and Algorithms (29 papers) and Advanced Mathematical Modeling in Engineering (20 papers). Patrick J. Browne is often cited by papers focused on Spectral Theory in Mathematical Physics (55 papers), Matrix Theory and Algorithms (29 papers) and Advanced Mathematical Modeling in Engineering (20 papers). Patrick J. Browne collaborates with scholars based in Canada, South Africa and United Kingdom. Patrick J. Browne's co-authors include Paul Binding, Bruce A. Watson, B. D. Sleeman, F. M. Mahomed, E. Momoniat, Rainer Picard, Rong Ma, Joseph Ewan, Cheng Wang and Sofie Ingdam Halkjær and has published in prestigious journals such as Gastroenterology, Journal of Cleaner Production and The British Journal of Psychiatry.

In The Last Decade

Patrick J. Browne

83 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
Patrick J. Browne Canada 19 1.1k 725 623 177 148 90 1.3k
Xing‐Bin Pan China 19 452 0.4× 590 0.8× 361 0.6× 105 0.6× 88 0.6× 78 1.0k
Michael Solomyak Israel 20 931 0.9× 550 0.8× 461 0.7× 163 0.9× 52 0.4× 57 1.2k
Vjacheslav Yurko Russia 27 2.5k 2.4× 1.1k 1.6× 1.2k 1.9× 293 1.7× 88 0.6× 155 2.6k
Stan Alama Canada 15 340 0.3× 519 0.7× 564 0.9× 68 0.4× 81 0.5× 49 873
Jiong Sun China 16 614 0.6× 383 0.5× 321 0.5× 488 2.8× 139 0.9× 59 1.0k
Jussi Behrndt Austria 16 764 0.7× 488 0.7× 325 0.5× 148 0.8× 38 0.3× 95 904
D. I. Borisov Russia 18 665 0.6× 714 1.0× 286 0.5× 236 1.3× 125 0.8× 153 1.1k
Evgeny Korotyaev Russia 19 921 0.9× 414 0.6× 305 0.5× 305 1.7× 38 0.3× 115 1.0k
Vladimir Rabinovich Mexico 13 556 0.5× 196 0.3× 436 0.7× 49 0.3× 20 0.1× 105 728
Shijin Ding China 18 440 0.4× 140 0.2× 686 1.1× 70 0.4× 25 0.2× 82 989

Countries citing papers authored by Patrick J. Browne

Since Specialization
Citations

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

Fields of papers citing papers by Patrick J. Browne

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Patrick J. Browne. 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 Patrick J. Browne. The network helps show where Patrick J. Browne may publish in the future.

Co-authorship network of co-authors of Patrick J. Browne

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick J. Browne. A scholar is included among the top collaborators of Patrick J. Browne 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 Patrick J. Browne. Patrick J. Browne 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.
Browne, Patrick J., et al.. (2023). Segre's theorem on ovals in Desarguesian projective planes. Irish Mathematical Society Bulletin. 91. 37–47.
2.
Binding, Paul, Patrick J. Browne, & Bruce A. Watson. (2015). Weighted p-Laplacian problems on a half-line. Journal of Differential Equations. 260(2). 1372–1391. 1 indexed citations
3.
Binding, Paul, Patrick J. Browne, & Bruce A. Watson. (2013). Eigencurves of non-definite Sturm–Liouville problems for the p -Laplacian. Journal of Differential Equations. 255(9). 2751–2777. 3 indexed citations
4.
Binding, Paul, Lyonell Boulton, & Patrick J. Browne. (2006). A Prüfer angle approach to singular Sturm–Liouville problems with Molčanov potentials. Journal of Computational and Applied Mathematics. 208(1). 226–234. 2 indexed citations
5.
Browne, Patrick J., et al.. (2005). Sturm–Liouville problems with boundary conditions depending quadratically on the eigenparameter. Journal of Mathematical Analysis and Applications. 309(2). 729–742. 8 indexed citations
6.
Binding, Paul, Patrick J. Browne, & Bruce A. Watson. (2004). Recovery of the m-function from spectral data for generalized Sturm–Liouville problems. Journal of Computational and Applied Mathematics. 171(1-2). 73–91. 10 indexed citations
7.
Binding, Paul, Patrick J. Browne, & Bruce A. Watson. (2002). Sturm–Liouville problems with boundary conditions rationally dependent on the eigenparameter, II. Journal of Computational and Applied Mathematics. 148(1). 147–168. 114 indexed citations
8.
Binding, Paul & Patrick J. Browne. (1995). Application of two parameter eigencurves to Sturm–Liouville problems with eigenparameter-dependent boundary conditions. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 125(6). 1205–1218. 29 indexed citations
9.
Binding, Paul, et al.. (1994). Sturm–Liouville problems with eigenparameter dependent boundary conditions. Proceedings of the Edinburgh Mathematical Society. 37(1). 57–72. 136 indexed citations
10.
Binding, Paul & Patrick J. Browne. (1991). Asymptotics of eigencurves for second order ordinary differential equations, II. Journal of Differential Equations. 89(2). 224–243. 9 indexed citations
11.
Binding, Paul & Patrick J. Browne. (1989). Classification of eigentuples for uniformly elliptic multiparameter problems. Journal of Mathematical Analysis and Applications. 139(1). 268–281. 1 indexed citations
12.
Binding, Paul & Patrick J. Browne. (1989). Two parameter eigenvalue problems for matrices. Linear Algebra and its Applications. 113. 139–157. 13 indexed citations
13.
Binding, Paul & Patrick J. Browne. (1989). Eigencurves for two-parameter self-adjoint ordinary differential equations of even order. Journal of Differential Equations. 79(2). 289–303. 14 indexed citations
14.
Browne, Patrick J., et al.. (1980). The Two-Sided Factorization of Ordinary Differential Operators. Canadian Journal of Mathematics. 32(5). 1045–1057. 2 indexed citations
15.
Browne, Patrick J. & B. D. Sleeman. (1979). Nonlinear multiparameter Sturm-Liouville problems. Journal of Differential Equations. 34(1). 139–146. 18 indexed citations
16.
Browne, Patrick J.. (1977). Abstract multiparameter theory, I. Journal of Mathematical Analysis and Applications. 60(1). 259–273. 28 indexed citations
17.
Browne, Patrick J.. (1974). Multi-Parameter Spectral Theory. Indiana University Mathematics Journal. 24(3). 249–257. 25 indexed citations
18.
Browne, Patrick J.. (1974). . Indiana University Mathematics Journal. 24(3). 249–249. 2 indexed citations
19.
Browne, Patrick J.. (1972). A multi-parameter eigenvalue problem. Journal of Mathematical Analysis and Applications. 38(3). 553–568. 31 indexed citations
20.
Browne, Patrick J.. (1972). A singular multi-parameter eigenvalue problem in second order ordinary differential equations. Journal of Differential Equations. 12(1). 81–94. 18 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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