Martin Eigel

551 total citations
39 papers, 335 citations indexed

About

Martin Eigel is a scholar working on Statistics, Probability and Uncertainty, Computational Mechanics and Statistical and Nonlinear Physics. According to data from OpenAlex, Martin Eigel has authored 39 papers receiving a total of 335 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Statistics, Probability and Uncertainty, 19 papers in Computational Mechanics and 14 papers in Statistical and Nonlinear Physics. Recurrent topics in Martin Eigel's work include Probabilistic and Robust Engineering Design (24 papers), Advanced Numerical Methods in Computational Mathematics (17 papers) and Model Reduction and Neural Networks (13 papers). Martin Eigel is often cited by papers focused on Probabilistic and Robust Engineering Design (24 papers), Advanced Numerical Methods in Computational Mathematics (17 papers) and Model Reduction and Neural Networks (13 papers). Martin Eigel collaborates with scholars based in Germany, Switzerland and United States. Martin Eigel's co-authors include Christoph Schwab, Claude Jeffrey Gittelson, Christian Merdon, Reinhold Schneider, Christian Engwer, Max J. Pfeffer, Edda Klipp, Joscha Gedicke, Carsten Carstensen and Reinhold Schneider and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, International Journal for Numerical Methods in Engineering and SIAM Journal on Numerical Analysis.

In The Last Decade

Martin Eigel

36 papers receiving 309 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Martin Eigel Germany 10 194 170 89 78 45 39 335
Zecheng Zhang United States 11 20 0.1× 80 0.5× 61 0.7× 112 1.4× 3 0.1× 29 259
Srikara Pranesh United Kingdom 9 54 0.3× 36 0.2× 145 1.6× 28 0.4× 7 0.2× 13 251
Charles Garrett United States 7 11 0.1× 73 0.4× 51 0.6× 22 0.3× 3 0.1× 12 256
Brian M. de Silva United States 5 54 0.3× 42 0.2× 9 0.1× 157 2.0× 6 264
Florencio I. Utreras Chile 10 26 0.1× 137 0.8× 51 0.6× 4 0.1× 2 0.0× 16 310
Markus Abel Australia 7 50 0.3× 27 0.2× 12 0.1× 77 1.0× 14 245
Markus Quade Germany 6 56 0.3× 27 0.2× 13 0.1× 127 1.6× 8 248
Hadrien Montanelli United States 7 12 0.1× 49 0.3× 23 0.3× 64 0.8× 1 0.0× 12 196
Zhenyu Zhao China 9 15 0.1× 22 0.1× 41 0.5× 24 0.3× 30 264
Patricia Hough United States 8 15 0.1× 25 0.1× 67 0.8× 9 0.1× 1 0.0× 12 245

Countries citing papers authored by Martin Eigel

Since Specialization
Citations

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

Fields of papers citing papers by Martin Eigel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Martin Eigel

This figure shows the co-authorship network connecting the top 25 collaborators of Martin Eigel. A scholar is included among the top collaborators of Martin Eigel 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 Martin Eigel. Martin Eigel 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.
Eigel, Martin, et al.. (2024). Less Interaction with Forward Models in Langevin Dynamics: Enrichment and Homotopy. SIAM Journal on Applied Dynamical Systems. 23(3). 1870–1908. 1 indexed citations
2.
Bayer, Christian, et al.. (2023). Pricing High-Dimensional Bermudan Options with Hierarchical Tensor Formats. SIAM Journal on Financial Mathematics. 14(2). 383–406. 5 indexed citations
3.
Eigel, Martin, et al.. (2023). Adaptive Nonintrusive Reconstruction of Solutions to High-Dimensional Parametric PDEs. SIAM Journal on Scientific Computing. 45(2). A457–A479. 2 indexed citations
4.
Eigel, Martin, et al.. (2022). OptTopo: Automated set-point optimization for coupled systems using topology information. 2022 8th International Conference on Control, Decision and Information Technologies (CoDIT). 224–229. 1 indexed citations
5.
Eigel, Martin, et al.. (2022). EFFICIENT APPROXIMATION OF HIGH-DIMENSIONAL EXPONENTIALS BY TENSOR NETWORKS. International Journal for Uncertainty Quantification. 13(1). 25–51. 3 indexed citations
6.
Eigel, Martin, et al.. (2022). Dynamical low‐rank approximations of solutions to the Hamilton–Jacobi–Bellman equation. Numerical Linear Algebra with Applications. 30(3). 2 indexed citations
7.
Eigel, Martin, et al.. (2022). On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion. SIAM Journal on Numerical Analysis. 60(2). 659–687. 9 indexed citations
8.
Eigel, Martin, et al.. (2022). Topology Optimisation under Uncertainties with Neural Networks. Algorithms. 15(7). 241–241. 2 indexed citations
9.
Eigel, Martin, et al.. (2019). Low rank surrogates for fuzzy‐stochastic partial differential equations. PAMM. 19(1). 2 indexed citations
10.
11.
Eigel, Martin, et al.. (2018). Risk averse stochastic structural topology optimization. Computer Methods in Applied Mechanics and Engineering. 334. 470–482. 7 indexed citations
12.
Bayer, Christian, et al.. (2017). SDE Based Regression for Linear Random PDEs. SIAM Journal on Scientific Computing. 39(3). A1168–A1200. 1 indexed citations
13.
Eigel, Martin, et al.. (2016). Stochastic topology optimisation with hierarchical tensor reconstruction. Open MIND. 1 indexed citations
14.
Eigel, Martin & Christian Merdon. (2016). Local Equilibration Error Estimators for Guaranteed Error Control in Adaptive Stochastic Higher-Order Galerkin Finite Element Methods. SIAM/ASA Journal on Uncertainty Quantification. 4(1). 1372–1397. 12 indexed citations
15.
Eigel, Martin, et al.. (2015). Influence of cell shape, inhomogeneities and diffusion barriers in cell polarization models. Physical Biology. 12(6). 66014–66014. 38 indexed citations
16.
Eigel, Martin, et al.. (2015). A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes. ESAIM Mathematical Modelling and Numerical Analysis. 49(5). 1367–1398. 28 indexed citations
17.
18.
Eigel, Martin & Daniel Peterseim. (2014). Simulation of Composite Materials by a Network FEM with Error Control. Computational Methods in Applied Mathematics. 15(1). 21–37. 1 indexed citations
19.
Eigel, Martin, et al.. (2013). Adaptive stochastic Galerkin FEM. Computer Methods in Applied Mechanics and Engineering. 270. 247–269. 73 indexed citations
20.
Eigel, Martin, et al.. (2009). A mesh-free partition of unity method for diffusion equations on complex domains. IMA Journal of Numerical Analysis. 30(3). 629–653. 4 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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