R. E. Showalter

89 papers receiving 2.4k citations

R. E. Showalter's Hit Papers

Monotone Operators in Banach Space and Nonlinear Partial Differential Equations 2013 · 466 citations
4660+4+8Years since publication100200300400

Peers

R. E. Showalter
Comparison fields: 5 of 98
  • Computational Theory and Mathematics 1.7k
  • Applied Mathematics 971
  • Mathematical Physics 842
  • Numerical Analysis 349
  • Computational Mechanics 944
Replace Luc Tartar with:
Luc Tartar United States
Pierre Grisvard France
O. A. Oleĭnik Russia
Jindřich Nečas Czechia
John G. Heywood Canada
Michel Chipot Switzerland
Eduardo Casas Spain
Jérôme Droniou France
A.A. Samarskii Slovakia
С. М. Козлов France
R. E. Showalter relative to Luc Tartar United States Luc Tartar's profile →
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Luc Tartar · 1×
Citations per year

Countries citing papers authored by R. E. Showalter

Since Specialization
Citations

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

Fields of papers citing papers by R. E. Showalter

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by R. E. Showalter. 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 R. E. Showalter. The network helps show where R. E. Showalter may publish in the future.

Co-authors

The 25 scholars most cited alongside R. E. Showalter, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with R. E. Showalter Line = papers co-authored together R. E. Showalter links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 93 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations
Hit paper breakdown →
2013466
2 1994294
3 2000216
4 1974136
5 1981110
6 1972100
7 196979
8 199075
9 197556
10 199155
11 197050
12 198548
13
197443
14 200543
15 199139
16 197539
17 197336
18
TWO-SCALE CONVERGENCE OF A MODEL FOR FLOW IN A PARTIALLY FISSURED MEDIUM
199934
19 200934
20 197534

About R. E. Showalter

R. E. Showalter is a scholar working on Computational Theory and Mathematics, Computational Mechanics, Mechanics of Materials, Mathematical Physics and Applied Mathematics, having authored 93 papers that have together received 2.9k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (57 papers), Advanced Numerical Methods in Computational Mathematics (27 papers), Numerical methods in inverse problems (17 papers), Composite Material Mechanics (16 papers), Differential Equations and Boundary Problems (16 papers), Numerical methods in engineering (11 papers), Stability and Controllability of Differential Equations (10 papers) and Differential Equations and Numerical Methods (10 papers). The work is most often cited by research in Computational Theory and Mathematics (1.7k citations), Applied Mathematics (971 citations), Mathematical Physics (842 citations), Numerical Analysis (349 citations) and Computational Mechanics (944 citations). R. E. Showalter has collaborated with scholars based in United States, Colombia and Poland. Frequent co-authors include Noel J. Walkington, Emmanuele Di Benedetto, Ulrich Hornung, Małgorzata Peszyńska, Michael Böhm, Emmanuele DiBenedetto, Ulisse Stefanelli, Ning Su, Jim Douglas and Tsuan Wu Ting. Their work appears in journals such as Journal of Mathematical Analysis and Applications, SIAM Journal on Mathematical Analysis, Journal of Differential Equations, Differential and Integral Equations and Pacific Journal of Mathematics.

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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