Robert E. Gaines

1.8k citations
22 papers · 1.5k indexed · 1 hit paper · h-index 11

Impact in

    • Differential Equations and Numerical Methods
    • Numerical methods for differential equations
    • Nonlinear Differential Equations Analysis
    • Differential Equations and Boundary Problems
    • Nonlinear Partial Differential Equations

Papers in

    • Differential Equations and Numerical Methods 10
    • Numerical methods for differential equations 6
    • Nonlinear Differential Equations Analysis 5
    • Differential Equations and Boundary Problems 5
    • Nonlinear Partial Differential Equations 4

Robert E. Gaines

22 papers receiving 1.3k citations

Hit Papers

Coincidence Degree, and Nonlinear Differential Equations 1977 · 1.1k citations
1.1k19772026199320092505007501000

Peers

Robert E. Gaines
Comparison fields: 5 of 82
  • Numerical Analysis 486
  • Applied Mathematics 928
  • Modeling and Simulation 186
  • Geometry and Topology 316
  • Computational Theory and Mathematics 263
Replace Shair Ahmad with:
Shair Ahmad United States
Sui Sun Cheng Taiwan
Joseph Wiener United States
Jitsuro Sugié Japan
Shiping Lu China
Richard E. Flaherty
Walter G. Kelley United States
N. A. Perestyuk Ukraine
Manuel Pinto Chile
Jurang Yan China
Robert E. Gaines relative to Shair Ahmad United States Shair Ahmad's profile →
Citations per field
00.5×1.5×2.2×
Shair Ahmad · 1×
Citations per year

Countries citing papers authored by Robert E. Gaines

Since Specialization
Citations

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

Fields of papers citing papers by Robert E. Gaines

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network

The 4 scholars most cited alongside Robert E. Gaines, 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 Robert E. Gaines Line = papers co-authored together Robert E. Gaines links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 200324
2 19946
3 19857
4 19837
5 198228
6 198110
7 19802
8 19783
9 197735
10
Coincidence Degree, and Nonlinear Differential Equations
Hit paper breakdown →
19771095
11 197710
12 19779
13 197614
14 19749
15 197454
16 19735
17 197218
18 19713
19 196937
20 196818

About Robert E. Gaines

Robert E. Gaines is a scholar working on Numerical Analysis, Applied Mathematics, Computational Theory and Mathematics, General Economics, Econometrics and Finance and Geometry and Topology, having authored 22 papers that have together received 1.5k indexed citations. Recurring topics across this work include Differential Equations and Numerical Methods (10 papers), Numerical methods for differential equations (6 papers), Nonlinear Differential Equations Analysis (5 papers), Advanced Mathematical Modeling in Engineering (5 papers), Differential Equations and Boundary Problems (5 papers), Nonlinear Partial Differential Equations (4 papers), Economic Growth and Productivity (3 papers) and Economic theories and models (3 papers). The work is most often cited by research in Numerical Analysis (486 citations), Applied Mathematics (928 citations), Modeling and Simulation (186 citations), Geometry and Topology (316 citations) and Computational Theory and Mathematics (263 citations). Robert E. Gaines has collaborated with scholars based in United States and Belgium. Frequent co-authors include Jean Mawhin, J. Bebernes, Wolfgang Walter and Chaitan P. Gupta. Their work appears in journals such as Journal of Differential Equations, Journal of Economic Theory, Journal of Mathematical Analysis and Applications, Contemporary Psychoanalysis and SIAM Journal on Applied 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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