Mark S. Ashbaugh

2.0k citations
45 papers · 898 · h-index 20

Impact in

    • Spectral Theory in Mathematical Physics
    • Numerical methods in inverse problems
    • Nonlinear Partial Differential Equations
    • Geometric Analysis and Curvature Flows

Papers in

Mark S. Ashbaugh

41 papers receiving 788 citations

Peers

Mark S. Ashbaugh
Comparison fields: 5 of 47
  • Mathematical Physics 616
  • Applied Mathematics 494
  • Computational Theory and Mathematics 593
  • Geometry and Topology 109
  • Statistical and Nonlinear Physics 87
Replace Michael Solomyak with:
Michael Solomyak Israel
Ари Лаптев United Kingdom
Petru Mironescu France
Vyacheslav Pivovarchik Ukraine
Iosif Polterovich Canada
B. M. Brown United Kingdom
Emmanuel Hebey France
J. K. Shaw United States
Leonid Friedlander United States
Ferruccio Colombini Italy
Mark S. Ashbaugh relative to Michael Solomyak Israel Michael Solomyak's profile →
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Citations per year

Countries citing papers authored by Mark S. Ashbaugh

Since Specialization
Citations

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

Fields of papers citing papers by Mark S. Ashbaugh

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mark S. Ashbaugh. 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 Mark S. Ashbaugh. The network helps show where Mark S. Ashbaugh may publish in the future.

Co-authors

The 16 scholars most cited alongside Mark S. Ashbaugh, 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 Mark S. Ashbaugh Line = papers co-authored together Mark S. Ashbaugh links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 45 papers — load more, or switch the sort, to bring in the rest.

#Work
1 1992103
2 199169
3 199559
4 200257
5 198947
6 199339
7 199337
8 200437
9 198936
10 199135
11 200931
12 199331
13 199230
14 199529
15 199129
16 198722
17 199022
18 198222
19
Fundamental tones and buckling loads of clamped plates
199621
20 200021

About Mark S. Ashbaugh

Mark S. Ashbaugh is a scholar working on Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics, Statistical and Nonlinear Physics and Mechanics of Materials, having authored 45 papers that have together received 898 indexed citations. Recurring topics across this work include Spectral Theory in Mathematical Physics (30 papers), Advanced Mathematical Modeling in Engineering (24 papers), Nonlinear Partial Differential Equations (18 papers), Numerical methods in inverse problems (10 papers), Quantum Mechanics and Non-Hermitian Physics (4 papers), Differential Equations and Boundary Problems (3 papers), Numerical methods in engineering (3 papers) and Quantum chaos and dynamical systems (3 papers). The work is most often cited by research in Mathematical Physics (616 citations), Applied Mathematics (494 citations), Computational Theory and Mathematics (593 citations), Geometry and Topology (109 citations) and Statistical and Nonlinear Physics (87 citations). Mark S. Ashbaugh has collaborated with scholars based in United States, Chile and France. Frequent co-authors include Rafael D. Benguria, Evans M. Harrell, Richard S. Laugesen, Richard Cushman, Carmen Chicone, Pavel Exner, Marius Mitrea, Fritz Gesztesy, Gerald Teschl and Howard A. Levine. Their work appears in journals such as Proceedings of the American Mathematical Society, Communications in Mathematical Physics, Duke Mathematical Journal, Pacific Journal of Mathematics and Transactions of the American Mathematical Society.

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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