R. E. Showalter

79 papers receiving 2.1k citations

Hit Papers

Monotone Operators in Banach Space and Nonlinear Partial Differential Equations 2013 · 449 citations
4490+4+8Years since publication100200300400

Peers

R. E. Showalter
Comparison fields: 5 of 98
  • Computational Theory and Mathematics 1.5k
  • Applied Mathematics 929
  • Mathematical Physics 763
  • Numerical Analysis 336
  • Computational Mechanics 797
Replace Victor J. Mizel with:
Victor J. Mizel United States
John G. Heywood Canada
O. A. Oleĭnik Russia
Michel Chipot Switzerland
Jindřich Nečas Czechia
Eduardo Casas Spain
Maurizio Grasselli Italy
Thierry Gallouët France
Michael Růžička Germany
A.A. Samarskii Slovakia
R. E. Showalter relative to Victor J. Mizel United States Victor J. Mizel's profile →
Citations per field
00.5×3.6×
Victor J. Mizel · 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 83 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 →
2013449
2 1994266
3 2000199
4 1974131
5 1981103
6 197295
7 196979
8 199064
9 197555
10 199152
11 197049
12
197440
13 197537
14 197337
15
TWO-SCALE CONVERGENCE OF A MODEL FOR FLOW IN A PARTIALLY FISSURED MEDIUM
199934
16 199134
17 197532
18 197832
19 200931
20 197031

About R. E. Showalter

R. E. Showalter is a scholar working on Computational Theory and Mathematics, Computational Mechanics, Mathematical Physics, Mechanics of Materials and Applied Mathematics, having authored 83 papers that have together received 2.6k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (51 papers), Advanced Numerical Methods in Computational Mathematics (24 papers), Differential Equations and Boundary Problems (16 papers), Numerical methods in inverse problems (16 papers), Composite Material Mechanics (14 papers), Numerical methods in engineering (11 papers), Nonlinear Partial Differential Equations (9 papers) and Differential Equations and Numerical Methods (9 papers). The work is most often cited by research in Computational Theory and Mathematics (1.5k citations), Applied Mathematics (929 citations), Mathematical Physics (763 citations), Numerical Analysis (336 citations) and Computational Mechanics (797 citations). R. E. Showalter has collaborated with scholars based in United States, Colombia and United Kingdom. Frequent co-authors include Noel J. Walkington, Emmanuele Di Benedetto, Ulrich Hornung, Małgorzata Peszyńska, Michael Böhm, Ulisse Stefanelli, Emmanuele DiBenedetto, 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, Differential and Integral Equations, Journal of Differential Equations and Mathematical Methods in the Applied Sciences.

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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