Ralph E. Showalter
Impact in
- Computational Theory and Mathematics top 0.2%
- Advanced Mathematical Modeling in Engineering
- Applied Mathematics top 0.5%
- Nonlinear Partial Differential Equations
- Differential Equations and Boundary Problems
Papers in
-
- Advanced Mathematical Modeling in Engineering 57
-
- Numerical methods in inverse problems 17
- Co-authors
- Noel J. Walkington (5 shared papers)Emmanuele Di Benedetto (1 shared paper)Ulrich Hornung (2 shared papers)Małgorzata Peszyńska (7 shared papers)Michael Böhm (2 shared papers)Ulisse Stefanelli (1 shared paper)Emmanuele DiBenedetto (2 shared papers)Ning Su (2 shared papers)
- Journals
- Journal of Mathematical Analysis and Applications (14 papers)SIAM Journal on Mathematical Analysis (13 papers)Differential and Integral Equations (5 papers)Journal of Differential Equations (4 papers)Mathematical Methods in the Applied Sciences (3 papers)
- Partner nations
- United StatesColombiaPoland
In The Last Decade
Ralph E. Showalter
89 papers receiving 2.5k citations
Ralph E. Showalter's Hit Papers
Peers
Comparison fields: 5 of 98
- Computational Theory and Mathematics 1.8k
- Applied Mathematics 999
- Mathematical Physics 863
- Numerical Analysis 349
- Computational Mechanics 983
Countries citing papers authored by Ralph E. Showalter
This map shows the geographic impact of Ralph 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 Ralph 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 Ralph E. Showalter more than expected).
Fields of papers citing papers by Ralph E. Showalter
This network shows the impact of papers produced by Ralph 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 Ralph E. Showalter. The network helps show where Ralph E. Showalter may publish in the future.
Co-authors
The 25 scholars most cited alongside Ralph E. Showalter, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 94 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 → | 2013 | 498 |
| 2 | 1994 | 290 | |
| 3 | 2000 | 234 | |
| 4 | 1974 | 137 | |
| 5 | 1981 | 111 | |
| 6 | 1972 | 102 | |
| 7 | 1969 | 78 | |
| 8 | 1990 | 77 | |
| 9 | 1991 | 58 | |
| 10 | 1975 | 56 | |
| 11 | 1970 | 51 | |
| 12 | 1985 | 49 | |
| 13 | 2005 | 47 | |
| 14 | 1974 | 45 | |
| 15 | 1991 | 41 | |
| 16 | 1975 | 40 | |
| 17 | 1973 | 36 | |
| 18 | 2009 | 35 | |
| 19 | TWO-SCALE CONVERGENCE OF A MODEL FOR FLOW IN A PARTIALLY FISSURED MEDIUM | 1999 | 35 |
| 20 | 1978 | 34 |
About Ralph E. Showalter
Ralph E. Showalter is a scholar working on Computational Theory and Mathematics, Mathematical Physics, Computational Mechanics, Applied Mathematics and Mechanics of Materials, having authored 94 papers that have together received 3.0k 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), Differential Equations and Numerical Methods (10 papers) and Stability and Controllability of Differential Equations (10 papers). The work is most often cited by research in Computational Theory and Mathematics (1.8k citations), Applied Mathematics (999 citations), Mathematical Physics (863 citations), Numerical Analysis (349 citations) and Computational Mechanics (983 citations). Ralph 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, Ulisse Stefanelli, Emmanuele DiBenedetto, Ning Su, Jim Jr. 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.