J. F. Colombeau

1.4k total citations
44 papers, 726 citations indexed

About

J. F. Colombeau is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, J. F. Colombeau has authored 44 papers receiving a total of 726 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Mathematical Physics, 30 papers in Applied Mathematics and 10 papers in Computational Theory and Mathematics. Recurrent topics in J. F. Colombeau's work include Mathematical and Theoretical Analysis (29 papers), Mathematical Analysis and Transform Methods (11 papers) and Algebraic and Geometric Analysis (8 papers). J. F. Colombeau is often cited by papers focused on Mathematical and Theoretical Analysis (29 papers), Mathematical Analysis and Transform Methods (11 papers) and Algebraic and Geometric Analysis (8 papers). J. F. Colombeau collaborates with scholars based in France, Brazil and Austria. J. F. Colombeau's co-authors include A. Roux, Michael Oberguggenberger, Jośe E. Galé, Michel Langlais, H. A. Biagioni, Reinhold Meise, J. Aragona, Mário C. Matos, S. O. Juriaans and Jorge Mújica and has published in prestigious journals such as SIAM Journal on Numerical Analysis, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

J. F. Colombeau

42 papers receiving 598 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
J. F. Colombeau France 15 557 322 99 88 82 44 726
Marko Nedeljkov Serbia 12 400 0.7× 448 1.4× 21 0.2× 250 2.8× 32 0.4× 38 614
Andreas Kriegl Austria 14 530 1.0× 324 1.0× 5 0.1× 31 0.4× 100 1.2× 30 833
Henri Cartan France 12 277 0.5× 145 0.5× 7 0.1× 27 0.3× 81 1.0× 44 588
Nik Weaver United States 14 352 0.6× 243 0.8× 4 0.0× 24 0.3× 99 1.2× 40 567
Roland Girgensohn Germany 10 104 0.2× 149 0.5× 7 0.1× 12 0.1× 84 1.0× 27 641
Roger Godement France 11 748 1.3× 209 0.6× 4 0.0× 15 0.2× 144 1.8× 28 1.1k
K. Chandrasekharan Switzerland 8 197 0.4× 148 0.5× 6 0.1× 9 0.1× 27 0.3× 22 495
Todor Gramchev Italy 12 308 0.6× 266 0.8× 9 0.1× 15 0.2× 56 0.7× 55 426
Hung-Hsi Wu United States 11 123 0.2× 443 1.4× 3 0.0× 11 0.1× 42 0.5× 23 799
Alfred Frölicher Switzerland 10 343 0.6× 217 0.7× 3 0.0× 22 0.3× 66 0.8× 16 754

Countries citing papers authored by J. F. Colombeau

Since Specialization
Citations

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

Fields of papers citing papers by J. F. Colombeau

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of J. F. Colombeau

This figure shows the co-authorship network connecting the top 25 collaborators of J. F. Colombeau. A scholar is included among the top collaborators of J. F. Colombeau 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 J. F. Colombeau. J. F. Colombeau 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.
Aragona, J., S. O. Juriaans, & J. F. Colombeau. (2015). Locally convex topological algebras of generalized functions: Compactness and nuclearity in a nonlinear context. Transactions of the American Mathematical Society. 367(8). 5399–5414. 2 indexed citations
2.
Aragona, J., J. F. Colombeau, & S. O. Juriaans. (2014). Nonlinear generalized functions and jump conditions for a standard one pressure liquid–gas model. Journal of Mathematical Analysis and Applications. 418(2). 964–977. 6 indexed citations
3.
Colombeau, J. F.. (2013). Nonlinear Generalized Functions: their origin, some developments and recent advances. São Paulo Journal of Mathematical Sciences. 7(2). 201–239. 3 indexed citations
4.
Colombeau, J. F., et al.. (2001). Conservation Laws with Discontinuous Coefficients. Journal of Mathematical Analysis and Applications. 258(1). 63–86. 8 indexed citations
5.
Colombeau, J. F., et al.. (1994). Generalized Functions and Multiplication of Distributions on C∞ Manifolds. Journal of Mathematical Analysis and Applications. 186(2). 357–364. 17 indexed citations
6.
Colombeau, J. F., et al.. (1990). Convergence of numerical schemes involving powers of the Dirac delta function. Journal of Mathematical Analysis and Applications. 145(1). 172–185. 10 indexed citations
7.
Colombeau, J. F. & Michel Langlais. (1990). Generalized solutions of nonlinear parabolic equations with distributions as initial conditions. Journal of Mathematical Analysis and Applications. 145(1). 186–196. 19 indexed citations
8.
Colombeau, J. F., et al.. (1989). Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations. Journal of Mathematical Analysis and Applications. 139(2). 552–573. 37 indexed citations
9.
Colombeau, J. F. & Jośe E. Galé. (1988). Analytic continuation of generalized functions. Acta Mathematica Academiae Scientiarum Hungaricae. 52(1-2). 57–60. 10 indexed citations
10.
Aragona, J. & J. F. Colombeau. (1988). The interpolation theorem for holomorphic generalized functions. Annales Polonici Mathematici. 49(2). 151–156. 2 indexed citations
11.
Aragona, J. & J. F. Colombeau. (1985). On the ∂-Neumann problem for generalized functions. Journal of Mathematical Analysis and Applications. 110(1). 179–199. 5 indexed citations
12.
Colombeau, J. F. & Jośe E. Galé. (1984). Holomorphic generalized functions. Journal of Mathematical Analysis and Applications. 103(1). 117–133. 16 indexed citations
13.
Colombeau, J. F.. (1983). A multiplication of distributions. Journal of Mathematical Analysis and Applications. 94(1). 96–115. 40 indexed citations
14.
Colombeau, J. F.. (1982). New generalized functions multiplication of distributions physical applications contribution of J. Sebastiao e Silva. Università del Salento. 1982(11). 1–13. 10 indexed citations
15.
Colombeau, J. F., et al.. (1981). On some spaces of entire functions defined on infinite-dimensional spaces. Pacific Journal of Mathematics. 96(1). 63–75. 20 indexed citations
16.
Colombeau, J. F., et al.. (1980). The ∂ equation in DFN spaces. Journal of Mathematical Analysis and Applications. 78(2). 466–487. 4 indexed citations
17.
Colombeau, J. F. & Mário C. Matos. (1980). Convolution equations in spaces of infinite dimensional entire functions. Indagationes Mathematicae (Proceedings). 83(4). 375–389. 7 indexed citations
18.
Colombeau, J. F.. (1979). Infinite dimensional C∞ mappings with a given sequence of derivatives at a given point. Journal of Mathematical Analysis and Applications. 71(1). 95–104. 8 indexed citations
19.
Colombeau, J. F.. (1979). Holomorphic maps with a given asymptotic expansion at a boundary point. Journal of Mathematical Analysis and Applications. 72(1). 274–282. 1 indexed citations
20.
Colombeau, J. F.. (1977). Sur les applications différentiables et analytiques au sens de J. Sebastião e Silva. Portugaliae Mathematica. 36(2). 103–118. 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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