Philip Hartman

20.0k citations
292 papers · 12.8k indexed · 4 hit papers · h-index 56

Impact in

    • Differential Equations and Numerical Methods
    • Nonlinear Differential Equations Analysis
    • Differential Equations and Boundary Problems
    • Geometric Analysis and Curvature Flows

Papers in

    • Differential Equations and Numerical Methods 49
    • Numerical methods for differential equations 32
    • Differential Equations and Boundary Problems 53
    • Nonlinear Differential Equations Analysis 17

Philip Hartman

272 papers receiving 10.4k citations

Hit Papers

Ordinary Differential Equations 2002 · 1.3k citations
1.3k19652026198520054008001.2k

Peers

Philip Hartman
Comparison fields: 5 of 192
  • Numerical Analysis 1.8k
  • Applied Mathematics 3.4k
  • Mathematical Physics 1.5k
  • Geometry and Topology 1.3k
  • Computational Theory and Mathematics 2.1k
Replace Laurent Schwartz with:
Laurent Schwartz France
Stephen T. Smale United States
Frank H. Clarke Canada
John B. Little United States
John R. King United Kingdom
JinRong Wang China
David Aldous United States
Gastón H. Gonnet Switzerland
Nikolai Lebedev United States
Haiyan Wang China
Philip Hartman relative to Laurent Schwartz France Laurent Schwartz's profile →
Citations per field
00.5×5.8×
Laurent Schwartz · 1×
Citations per year

Countries citing papers authored by Philip Hartman

Since Specialization
Citations

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

Fields of papers citing papers by Philip Hartman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Philip Hartman. 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 Philip Hartman. The network helps show where Philip Hartman may publish in the future.

Co-authors

The 25 scholars most cited alongside Philip Hartman, 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 Philip Hartman Line = papers co-authored together Philip Hartman links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 198910
2 19831
3 1977111
4
Completely monotone families of solutions of $n$-th order linear differential equations and infinitely divisible distributions
197614
5 197016
6 197023
7 19693
8 19683
9 19681
10 19686
11 196514
12 196549
13 196156
14 196035
15 19593
16 19591
17 19596
18
On oscillators with large frequencies.
19591
19 195876
20 19512

About Philip Hartman

Philip Hartman is a scholar working on Numerical Analysis, Applied Mathematics, Mathematical Physics, Geometry and Topology and Computational Theory and Mathematics, having authored 292 papers that have together received 12.8k indexed citations. Recurring topics across this work include Differential Equations and Boundary Problems (53 papers), Differential Equations and Numerical Methods (49 papers), Numerical methods for differential equations (32 papers), Advanced Mathematical Modeling in Engineering (30 papers), Spectral Theory in Mathematical Physics (18 papers), Bacterial Genetics and Biotechnology (17 papers), Nonlinear Differential Equations Analysis (17 papers) and Bacteriophages and microbial interactions (16 papers). The work is most often cited by research in Numerical Analysis (1.8k citations), Applied Mathematics (3.4k citations), Mathematical Physics (1.5k citations), Geometry and Topology (1.3k citations) and Computational Theory and Mathematics (2.1k citations). Philip Hartman has collaborated with scholars based in United States, Japan and Mexico. Frequent co-authors include Aurel Wintner, Guido Stampacchia, M. Demerec, Edward A. Adelberg, Anthony J. Clark, Zlata Hartman, John R. Roth, Delbert M. Shankel, Thomas Dahl and W. Robert Midden. Their work appears in journals such as American Journal of Mathematics, Transactions of the American Mathematical Society, Journal of Bacteriology, Proceedings of the American Mathematical Society and Environmental and Molecular Mutagenesis.

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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