Michael Plum

1.9k total citations
74 papers, 1.2k citations indexed

About

Michael Plum is a scholar working on Computational Theory and Mathematics, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, Michael Plum has authored 74 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Computational Theory and Mathematics, 25 papers in Mathematical Physics and 20 papers in Numerical Analysis. Recurrent topics in Michael Plum's work include Advanced Mathematical Modeling in Engineering (19 papers), Advanced Numerical Methods in Computational Mathematics (15 papers) and Spectral Theory in Mathematical Physics (12 papers). Michael Plum is often cited by papers focused on Advanced Mathematical Modeling in Engineering (19 papers), Advanced Numerical Methods in Computational Mathematics (15 papers) and Spectral Theory in Mathematical Physics (12 papers). Michael Plum collaborates with scholars based in Germany, United States and United Kingdom. Michael Plum's 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 Armin Lechleiter and has published in prestigious journals such as Physics Letters A, SIAM Journal on Numerical Analysis and Journal of Mathematical Analysis and Applications.

In The Last Decade

Michael Plum

68 papers receiving 1.1k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Michael Plum Germany 20 408 287 283 251 247 74 1.2k
Zhimin Zhang China 24 177 0.4× 711 2.5× 305 1.1× 101 0.4× 537 2.2× 127 1.5k
Jens Frehse Germany 20 756 1.9× 95 0.3× 326 1.2× 411 1.6× 84 0.3× 88 1.8k
Martin Hutzenthaler Germany 16 125 0.3× 89 0.3× 222 0.8× 126 0.5× 200 0.8× 40 1.1k
Espen R. Jakobsen Norway 19 367 0.9× 109 0.4× 149 0.5× 186 0.7× 32 0.1× 48 1.0k
Diogo A. Gomes Saudi Arabia 22 164 0.4× 112 0.4× 88 0.3× 388 1.5× 32 0.1× 96 1.4k
S. R. Srinivasa Varadhan United States 2 207 0.5× 111 0.4× 63 0.2× 365 1.5× 44 0.2× 2 1.0k
Alain‐Sol Sznitman Switzerland 23 364 0.9× 169 0.6× 47 0.2× 1.6k 6.3× 56 0.2× 61 2.2k
Jianfeng Zhang China 23 68 0.2× 294 1.0× 59 0.2× 99 0.4× 241 1.0× 75 1.7k
Cyril Imbert France 22 653 1.6× 53 0.2× 110 0.4× 493 2.0× 30 0.1× 55 1.4k

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-authorship network of co-authors of Michael Plum

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Plum. A scholar is included among the top collaborators of Michael Plum based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Plum. Michael Plum is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Pelinovsky, Dmitry E. & Michael Plum. (2024). Stability of Black Solitons in Optical Systems with Intensity-Dependent Dispersion. SIAM Journal on Mathematical Analysis. 56(2). 2521–2568. 1 indexed citations
2.
Plum, Michael & Wolfgang Reichel. (2023). Breathers and rogue waves for semilinear curl-curl wave equations. Journal of Elliptic and Parabolic Equations. 9(2). 757–780.
3.
Plum, Michael, et al.. (2023). On the physical significance of non-local material parameters in optical metamaterials. New Journal of Physics. 25(12). 123014–123014. 3 indexed citations
4.
Pacella, Filomena, et al.. (2021). Approximate nonradial solutions for the Lane-Emden problem in the ball. Advances in Nonlinear Analysis. 11(1). 268–284. 2 indexed citations
5.
Plum, Michael, et al.. (2017). A computer-assisted existence proof for Emden’s equation on an unbounded L-shaped domain. IRIS Research product catalog (Sapienza University of Rome). 6 indexed citations
6.
Plum, Michael, et al.. (2013). Interfaces supporting surface gap soliton ground states in the 1D nonlinear Schrödinger equation. Journal of Mathematical Analysis and Applications. 407(2). 425–435. 2 indexed citations
7.
Plum, Michael, et al.. (2011). Eigenvalue excluding for perturbed-periodic one-dimensional Schrödinger operators. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 468(2138). 545–562. 3 indexed citations
8.
McKenna, P. J., et al.. (2009). A uniqueness result for a semilinear elliptic problem: A computer-assisted proof. Journal of Differential Equations. 247(7). 2140–2162. 10 indexed citations
9.
Everitt, W. N., et al.. (2006). A continuum of unusual self-adjoint linear partial differential operators. Journal of Computational and Applied Mathematics. 208(1). 164–175. 2 indexed citations
10.
McKenna, Patrick, et al.. (2005). A computer-assisted existence and multiplicity proof for travelling waves in a nonlinearly supported beam. Journal of Differential Equations. 224(1). 60–97. 28 indexed citations
11.
McKenna, P. J., et al.. (2003). Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof. Journal of Differential Equations. 195(1). 243–269. 57 indexed citations
12.
Adams, E. Eric & Michael Plum. (2002). Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems.. Journal of Mathematical Analysis and Applications. 276(1). 64–79. 3 indexed citations
13.
Adams, E. Eric & Michael Plum. (2002). Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems. Journal of Mathematical Analysis and Applications. 275(1). 333–353. 1 indexed citations
14.
Plum, Michael & Christian Wieners. (2002). New solutions of the Gelfand problem. Journal of Mathematical Analysis and Applications. 269(2). 588–606. 15 indexed citations
15.
Plum, Michael. (2001). Computer-assisted enclosure methods for elliptic differential equations. Linear Algebra and its Applications. 324(1-3). 147–187. 34 indexed citations
16.
Plum, Michael & R. M. Redheffer. (1999). A Class of Second-Order Differential Equations. Journal of Differential Equations. 154(2). 454–469. 1 indexed citations
17.
Plum, Michael. (1995). Existence and enclosure results for continua of solutions of parameter-dependent nonlinear boundary value problems. Journal of Computational and Applied Mathematics. 60(1-2). 187–200. 34 indexed citations
18.
Plum, Michael. (1992). Explicit H2-estimates and pointwise bounds for solutions of second-order elliptic boundary value problems. Journal of Mathematical Analysis and Applications. 165(1). 36–61. 67 indexed citations
19.
Plum, Michael. (1988). Pointwise bounds for linear reaction-diffusion systems and an extension to nonlinear problems. Journal of Mathematical Analysis and Applications. 135(1). 88–111. 1 indexed citations
20.
Plum, Michael. (1988). Shape-invariant bounds for reaction-diffusion systems with unequal diffusion coefficients. Journal of Differential Equations. 73(1). 82–103. 1 indexed citations

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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