Karl Meerbergen

3.8k total citations · 1 hit paper
101 papers, 2.5k citations indexed

About

Karl Meerbergen is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Statistical and Nonlinear Physics. According to data from OpenAlex, Karl Meerbergen has authored 101 papers receiving a total of 2.5k indexed citations (citations by other indexed papers that have themselves been cited), including 65 papers in Computational Theory and Mathematics, 41 papers in Numerical Analysis and 35 papers in Statistical and Nonlinear Physics. Recurrent topics in Karl Meerbergen's work include Matrix Theory and Algorithms (60 papers), Model Reduction and Neural Networks (33 papers) and Numerical methods for differential equations (22 papers). Karl Meerbergen is often cited by papers focused on Matrix Theory and Algorithms (60 papers), Model Reduction and Neural Networks (33 papers) and Numerical methods for differential equations (22 papers). Karl Meerbergen collaborates with scholars based in Belgium, United States and Sweden. Karl Meerbergen's co-authors include Françoise Tisseur, Wim Michiels, Raf Vandebril, Nick Vannieuwenhoven, Elias Jarlebring, Roel Van Beeumen, A. Spence, Dirk Roose, Yue Yao and Richard B. Lehoucq and has published in prestigious journals such as SHILAP Revista de lepidopterología, Mathematics of Computation and Pattern Recognition.

In The Last Decade

Karl Meerbergen

89 papers receiving 2.2k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

The Quadratic Eigenvalue Problem

2001 948 citations Françoise Tisseur, Karl Meerbergen SIAM Review profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Karl Meerbergen Belgium	22	1.2k	790	537	523	476	101	2.5k
Wen‐Wei Lin Taiwan	26	1.3k 1.1×	781 1.0×	490 0.9×	507 1.0×	237 0.5×	155	2.4k
Françoise Tisseur United Kingdom	25	1.9k 1.7×	1.3k 1.7×	726 1.4×	396 0.8×	397 0.8×	68	3.0k
Moody T. Chu United States	27	1.4k 1.2×	840 1.1×	202 0.4×	356 0.7×	426 0.9×	97	2.6k
Marc Van Barel Belgium	23	1.3k 1.1×	623 0.8×	355 0.7×	327 0.6×	419 0.9×	220	2.3k
Adhemar Bultheel Belgium	25	869 0.7×	581 0.7×	300 0.6×	488 0.9×	329 0.7×	278	3.0k
Daniel Kreßner Switzerland	25	1.5k 1.3×	777 1.0×	431 0.8×	628 1.2×	738 1.6×	148	2.8k
Stefan Vandewalle Belgium	30	695 0.6×	1.1k 1.4×	353 0.7×	233 0.4×	925 1.9×	126	2.8k
Roland W. Freund United States	26	2.1k 1.8×	1.5k 1.9×	1.4k 2.6×	763 1.5×	963 2.0×	59	3.9k
Boris N. Khoromskij Germany	35	1.6k 1.3×	311 0.4×	1.1k 2.0×	600 1.1×	926 1.9×	115	3.3k
Biswa Nath Datta United States	26	944 0.8×	695 0.9×	168 0.3×	339 0.6×	177 0.4×	117	2.5k

Countries citing papers authored by Karl Meerbergen

Since Specialization

Citations

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

Fields of papers citing papers by Karl Meerbergen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Karl Meerbergen

This figure shows the co-authorship network connecting the top 25 collaborators of Karl Meerbergen. A scholar is included among the top collaborators of Karl Meerbergen 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 Karl Meerbergen. Karl Meerbergen is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Naets, Frank, et al.. (2024). AAA rational approximation for time domain model order reduction. Applied Mathematics Letters. 157. 109188–109188.

Meerbergen, Karl, et al.. (2023). Contour Integration for Eigenvector Nonlinearities. SIAM Journal on Matrix Analysis and Applications. 44(4). 1619–1644. 1 indexed citations

Jarlebring, Elias, et al.. (2022). Linearizable Eigenvector Nonlinearities. SIAM Journal on Matrix Analysis and Applications. 43(2). 764–786. 3 indexed citations

Meerbergen, Karl, et al.. (2021). Automatic rational approximation and linearization of nonlinear eigenvalue problems. Lirias (KU Leuven). 28 indexed citations

Camps, Daan, Karl Meerbergen, & Raf Vandebril. (2018). An implicit filter for rational Krylov using core transformations. Linear Algebra and its Applications. 561. 113–140. 5 indexed citations

Vannieuwenhoven, Nick, Johannes Nicaise, Raf Vandebril, & Karl Meerbergen. (2014). On Generic Nonexistence of the Schmidt--Eckart--Young Decomposition for Complex Tensors. SIAM Journal on Matrix Analysis and Applications. 35(3). 886–903. 11 indexed citations

Beeumen, Roel Van, Karl Meerbergen, & Wim Michiels. (2013). A practical rational Krylov algorithm for solving large-scale nonlinear eigenvalue problems. 1 indexed citations

Yao, Yue & Karl Meerbergen. (2013). Parametric model order reduction of damped mechanical systems via the block Arnoldi process. Applied Mathematics Letters. 26(6). 643–648. 11 indexed citations

Ghysels, Pieter, Thomas J. Ashby, Karl Meerbergen, & Wim Vanroose. (2013). Hiding Global Communication Latency in the GMRES Algorithm on Massively Parallel Machines. SIAM Journal on Scientific Computing. 35(1). C48–C71. 72 indexed citations

10.

Markidis, Stefano, et al.. (2013). High Performance Solvers for Implicit Particle in Cell Simulation. Procedia Computer Science. 18. 2251–2258. 6 indexed citations

11.

Meerbergen, Karl & Raf Vandebril. (2011). A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line. Linear Algebra and its Applications. 436(8). 2828–2844. 7 indexed citations

12.

Vannieuwenhoven, Nick & Karl Meerbergen. (2010). An element-by-element algebraic multilevel block-ilu preconditioner. Lirias (KU Leuven).

13.

Jarlebring, Elias, Karl Meerbergen, & Wim Michiels. (2010). An Arnoldi like method for the delay eigenvalue problem. Lirias (KU Leuven). 4 indexed citations

14.

Meerbergen, Karl, et al.. (2008). Connection and comparison between frequency shift time integration and a spectral transformation preconditioner. Numerical Linear Algebra with Applications. 16(1). 1–17. 3 indexed citations

15.

Meerbergen, Karl, et al.. (2007). An efficient computational procedure for random vibro-acoustic simulations. Journal of Sound and Vibration. 310(1-2). 448–458. 6 indexed citations

16.

Meerbergen, Karl. (2005). The Lanczos method: evolution and application.. Mathematics of Computation. 74. 13 indexed citations

17.

Knapen, Tomas, et al.. (2004). Simulation of randomly excited acoustic insulation systems using finite element approaches. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 4 indexed citations

18.

Meerbergen, Karl, et al.. (2002). Theory and software for Krylov methods for the computation of the frequency response of large acoustic finite element models. Lirias (KU Leuven). 1 indexed citations

19.

Tisseur, Françoise & Karl Meerbergen. (2001). The Quadratic Eigenvalue Problem. SIAM Review. 43(2). 235–286. 948 indexed citations breakdown →

20.

Meerbergen, Karl. (1996). A survey of preconditioned iterative methods. Journal of Computational and Applied Mathematics. 66(1-2). N4–N5. 51 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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