Michael Plum

1.9k citations

74 papers · 1.2k indexed · h-index 20

Impact in

Numerical Analysis top 5%
- Numerical methods for differential equations
Mathematical Physics top 5%

Papers in ⓘ

Computational Theory and Mathematics 30
- Advanced Mathematical Modeling in Engineering 19
Mathematical Physics 25
- Spectral Theory in Mathematical Physics 12
- Numerical methods in inverse problems 9

Co-authors: Christian Hipp (2 shared papers)Christian Wieners (6 shared papers)Yoshitaka Watanabe (5 shared papers)P. J. McKenna (3 shared papers)Mitsuhiro T. Nakao (4 shared papers)Carsten Rockstuhl (8 shared papers)B. M. Brown (5 shared papers)W. D. Evans (2 shared papers)
Journals: Journal of Differential Equations (8 papers)Journal of Mathematical Analysis and Applications (6 papers)Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences (5 papers)Physical review. B. (5 papers)Zeitschrift für angewandte Mathematik und Physik (3 papers)
Partner nations: Germany United States United Kingdom

In The Last Decade

Michael Plum

68 papers receiving 1.1k citations

Peers

Countries citing papers authored by Michael Plum

Since Specialization

Citations

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

Fields of papers citing papers by Michael Plum

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

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

All Works

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20 of 20 papers shown

Showing the 20 most-cited of 74 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Optimal investment for insurers Insurance Mathematics and Economics ·Christian Hipp, Michael Plum	2000	219
2	Characterization and computation of nash-equilibria for auctions with incomplete information International Journal of Game Theory ·Michael Plum	1992	71
3	Explicit H2-estimates and pointwise bounds for solutions of second-order elliptic boundary value problems Journal of Mathematical Analysis and Applications ·Michael Plum	1992	67
4	Optimal investment for investors with state dependent income, and for insurers Finance and Stochastics ·Christian Hipp, Michael Plum	2003	62
5	Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof Journal of Differential Equations ·B. Breuer, P. J. McKenna, Michael Plum	2003	57
6	Photonic Crystals: Mathematical Analysis and Numerical Approximation CERN Document Server (European Organization for Nuclear Research) ·Willy Dörfler, Armin Lechleiter, Michael Plum, Guido Schneider, Christian Wieners	2011	38
7	On the spectrum of second-order differential operators with complex coefficients Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences ·B. M. Brown, D. K. R. McCormack, W. D. Evans, Michael Plum	1999	37
8	Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations CERN Document Server (European Organization for Nuclear Research) ·Mitsuhiro T. Nakao, Michael Plum, Yoshitaka Watanabe	2019	36
9	Existence and enclosure results for continua of solutions of parameter-dependent nonlinear boundary value problems Journal of Computational and Applied Mathematics ·Michael Plum	1995	34
10	Computer-assisted enclosure methods for elliptic differential equations Linear Algebra and its Applications ·Michael Plum	2001	34
11	Bounds for eigenvalues of second-order elliptic differential operators Zeitschrift für angewandte Mathematik und Physik ·Michael Plum	1991	32
12	A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam Journal of Differential Equations ·B. Breuer, Jiří Horák, Patrick McKenna, Michael Plum	2005	28
13	Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method Zeitschrift für angewandte Mathematik und Physik ·Michael Plum	1990	28
14	Optimal a priori estimates for interface problems Numerische Mathematik ·Michael Plum, Christian Wieners	2003	25
15	Computer-assisted existence proofs for two-point boundary value problems Computing ·Michael Plum	1991	25
16	Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems Proceedings of the London Mathematical Society ·B. M. Brown, W. D. Evans, Michael Plum	2003	22
17	Inequalities and Applications University of Debrecen Electronic Archive (University of Debrecen) ·Catherine Bandle, László Losonczi, Attila Gilányi, Zsolt Páles, Michael Plum	2008	22
18	Computer-assisted proofs for semilinear elliptic boundary value problems Japan Journal of Industrial and Applied Mathematics ·Michael Plum	2009	21
19	Numerical existence proofs and explicit bounds for solutions of nonlinear elliptic boundary value problems Computing ·Michael Plum	1992	21
20	A computer‐assisted instability proof for the Orr‐Sommerfeld problem with Poiseuille flow ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ·Yoshitaka Watanabe, Michael Plum, Mitsuhiro Nakao	2009	19

About Michael Plum

Michael Plum is a scholar working on Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis, Computational Mechanics and Atomic and Molecular Physics, and Optics, having authored 74 papers that have together received 1.2k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (19 papers), Advanced Numerical Methods in Computational Mathematics (15 papers), Numerical methods for differential equations (12 papers), Spectral Theory in Mathematical Physics (12 papers), Differential Equations and Numerical Methods (11 papers), Photonic Crystals and Applications (10 papers), Numerical methods in inverse problems (9 papers) and Nonlinear Photonic Systems (8 papers). The work is most often cited by research in Numerical Analysis (191 citations), Mathematical Physics (251 citations), Computational Theory and Mathematics (408 citations), Management Science and Operations Research (287 citations) and Demography (247 citations). Michael Plum has collaborated with scholars based in Germany, United States and United Kingdom. Frequent co-authors include Christian Hipp, Christian Wieners, Yoshitaka Watanabe, P. J. McKenna, Mitsuhiro T. Nakao, Carsten Rockstuhl, B. M. Brown, W. D. Evans, Guido Schneider and Willy Dörfler. Their work appears in journals such as Journal of Differential Equations, Journal of Mathematical Analysis and Applications, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, Physical review. B. and Zeitschrift für angewandte Mathematik und Physik.

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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