Patrick Kürschner

617 total citations
27 papers, 379 citations indexed

About

Patrick Kürschner is a scholar working on Statistical and Nonlinear Physics, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, Patrick Kürschner has authored 27 papers receiving a total of 379 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Statistical and Nonlinear Physics, 16 papers in Computational Theory and Mathematics and 13 papers in Computational Mechanics. Recurrent topics in Patrick Kürschner's work include Model Reduction and Neural Networks (18 papers), Matrix Theory and Algorithms (16 papers) and Numerical methods for differential equations (9 papers). Patrick Kürschner is often cited by papers focused on Model Reduction and Neural Networks (18 papers), Matrix Theory and Algorithms (16 papers) and Numerical methods for differential equations (9 papers). Patrick Kürschner collaborates with scholars based in Germany, Belgium and Croatia. Patrick Kürschner's co-authors include Peter Benner, Jens Saak, Peter Eberhard, Christopher Nowakowski, Ninoslav Truhar, Michiel E. Hochstenbach, Daniel Kreßner, Lieven De Lathauwer, Ignat Domanov and Melina A. Freitag and has published in prestigious journals such as Journal of the Franklin Institute, Systems & Control Letters and SIAM Journal on Scientific Computing.

In The Last Decade

Patrick Kürschner

25 papers receiving 366 citations

Peers

Countries citing papers authored by Patrick Kürschner

Since Specialization

Citations

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

Fields of papers citing papers by Patrick Kürschner

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Patrick Kürschner

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick Kürschner. A scholar is included among the top collaborators of Patrick Kürschner 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 Patrick Kürschner. Patrick Kürschner 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

#	Work	Indexed citations
1	Inexact linear solves in the low-rank alternating direction implicit iteration for large Sylvester equations 2024 ·ETNA - Electronic Transactions on Numerical Analysis ·Patrick Kürschner	0
2	Low‐rank approximations of frequency‐limited discrete‐time Gramians 2024 ·PAMM ·Patrick Kürschner	0
3	On the convergence of Krylov methods with low-rank truncations 2021 ·Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna) ·(unknown), Patrick Kürschner	15
4	Systems of Polynomial Equations, Higher-Order Tensor Decompositions, and Multidimensional Harmonic Retrieval: A Unifying Framework. Part II: The Block Term Decomposition 2021 ·SIAM Journal on Matrix Analysis and Applications ·(unknown), Patrick Kürschner, Ignat Domanov, Lieven De Lathauwer	2
5	Low-rank updates and divide-and-conquer methods for quadratic matrix equations 2020 ·Lirias (KU Leuven) ·Daniel Kreßner, Patrick Kürschner, (unknown)	2
6	A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems 2020 ·MPG.PuRe (Max Planck Society) ·Peter Benner, (unknown), Patrick Kürschner, Jens Saak	22
7	Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems 2020 ·Linear Algebra and its Applications ·(unknown), Patrick Kürschner	10
8	Approximate residual-minimizing shift parameters for the low-rank ADI iteration 2019 ·ETNA - Electronic Transactions on Numerical Analysis ·Patrick Kürschner	2
9	An output error bound for time-limited balanced truncation 2018 ·Systems & Control Letters ·(unknown), Patrick Kürschner	13
10	GMRES Convergence Bounds for Eigenvalue Problems 2017 ·Computational Methods in Applied Mathematics ·Melina A. Freitag, Patrick Kürschner, Jennifer Pestana	2
11	Efficient Low-Rank Solution of Large-Scale Matrix Equations 2016 ·MPG.PuRe (Max Planck Society) ·Patrick Kürschner	18
12	Frequency-Limited Balanced Truncation with Low-Rank Approximations 2016 ·SIAM Journal on Scientific Computing ·Peter Benner, Patrick Kürschner, Jens Saak	44
13	Semi‐active damping optimization of vibrational systems using the parametric dominant pole algorithm 2015 ·ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ·Peter Benner, Patrick Kürschner, (unknown), Ninoslav Truhar	12
14	Computing real low-rank solutions of Sylvester equations by the factored ADI method 2014 ·Computers & Mathematics with Applications ·Peter Benner, Patrick Kürschner	29
15	A Goal-Oriented Dual LRCF-ADI for Balanced Truncation 2012 ·IFAC Proceedings Volumes ·Jens Saak, Peter Benner, Patrick Kürschner	9
16	Avoiding complex arithmetic in the low‐rank ADI method efficiently 2012 ·PAMM ·Peter Benner, Patrick Kürschner, Jens Saak	4
17	Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method 2012 ·Numerical Algorithms ·Peter Benner, Patrick Kürschner, Jens Saak	50
18	Improved Second-Order Balanced Truncation for Symmetric Systems 2012 ·IFAC Proceedings Volumes ·Peter Benner, Patrick Kürschner, Jens Saak	9
19	Optimale FE-Reduktion, Moderne Modellreduktion elastischer Bauteile für die Simulation flexibler Mehrkörpersysteme 2011 ·Max Planck Institute for Plasma Physics ·Peter Benner, Peter Eberhard, Gunter Knoll, Patrick Kürschner, (unknown), (unknown)	1
20	Model order reduction of large-scale dynamical systems with Jacobi-Davidson style eigensolvers 2011 ·TU/e Research Portal ·Peter Benner, Michiel E. Hochstenbach, Patrick Kürschner	3

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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