Reinhard Nabben

1.3k total citations
52 papers, 801 citations indexed

About

Reinhard Nabben is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Numerical Analysis. According to data from OpenAlex, Reinhard Nabben has authored 52 papers receiving a total of 801 indexed citations (citations by other indexed papers that have themselves been cited), including 46 papers in Computational Theory and Mathematics, 21 papers in Computational Mechanics and 18 papers in Numerical Analysis. Recurrent topics in Reinhard Nabben's work include Matrix Theory and Algorithms (44 papers), Advanced Numerical Methods in Computational Mathematics (21 papers) and Electromagnetic Scattering and Analysis (12 papers). Reinhard Nabben is often cited by papers focused on Matrix Theory and Algorithms (44 papers), Advanced Numerical Methods in Computational Mathematics (21 papers) and Electromagnetic Scattering and Analysis (12 papers). Reinhard Nabben collaborates with scholars based in Germany, United States and Netherlands. Reinhard Nabben's co-authors include C. Vuik, Yogi A. Erlangga, Richard S. Varga, Daniel B. Szyld, Jinyu Tang, Andreas Frommer, Michele Benzi, L. Elsner, Shmuel Friedland and Michael Neumann and has published in prestigious journals such as Journal of Computational Physics, SIAM Journal on Numerical Analysis and SIAM Journal on Scientific Computing.

In The Last Decade

Reinhard Nabben

48 papers receiving 678 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Reinhard Nabben Germany 17 577 305 226 208 198 52 801
Linzhang Lu China 17 793 1.4× 289 0.9× 494 2.2× 303 1.5× 81 0.4× 98 1.1k
Shaohua Pan China 18 499 0.9× 192 0.6× 537 2.4× 143 0.7× 58 0.3× 102 1.0k
Gregory Ammar United States 15 472 0.8× 90 0.3× 167 0.7× 158 0.8× 58 0.3× 22 668
W. Allegretto Canada 23 774 1.3× 180 0.6× 212 0.9× 113 0.5× 204 1.0× 118 1.6k
Carlo Garoni Italy 17 541 0.9× 350 1.1× 248 1.1× 79 0.4× 33 0.2× 52 841
Yongzhong Song China 18 423 0.7× 168 0.6× 621 2.7× 145 0.7× 124 0.6× 85 907
Niloufer Mackey United States 18 879 1.5× 87 0.3× 611 2.7× 234 1.1× 77 0.4× 26 1.0k
A. Hadjidimos Greece 19 1.3k 2.3× 278 0.9× 1.1k 5.0× 364 1.8× 122 0.6× 129 1.6k
Evgenij E. Tyrtyshnikov Russia 7 401 0.7× 105 0.3× 95 0.4× 149 0.7× 51 0.3× 7 553
Michal Křı́žek Czechia 19 441 0.8× 752 2.5× 231 1.0× 51 0.2× 208 1.1× 119 1.3k

Countries citing papers authored by Reinhard Nabben

Since Specialization
Citations

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

Fields of papers citing papers by Reinhard Nabben

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Reinhard Nabben

This figure shows the co-authorship network connecting the top 25 collaborators of Reinhard Nabben. A scholar is included among the top collaborators of Reinhard Nabben 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 Reinhard Nabben. Reinhard Nabben 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.
Nabben, Reinhard, et al.. (2020). Projections, Deflation, and Multigrid for Nonsymmetric Matrices. SIAM Journal on Matrix Analysis and Applications. 41(1). 83–105. 5 indexed citations
2.
Tang, Jinyu, Reinhard Nabben, C. Vuik, & Yogi A. Erlangga. (2009). Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods. Journal of Scientific Computing. 39(3). 340–370. 81 indexed citations
3.
Tang, Jinyu, Scott MacLachlan, Reinhard Nabben, & C. Vuik. (2008). Theoretical Comparison of Two-Level Preconditioners based on Multigrid and Deflation. Data Archiving and Networked Services (DANS). 3 indexed citations
4.
Nabben, Reinhard, et al.. (2008). On algebraic multilevel methods for non-symmetric systems - convergence results.. 30. 323–345. 9 indexed citations
5.
Nabben, Reinhard, et al.. (2008). On algebraic multi-level methods for non-symmetric systems – Comparison results. Linear Algebra and its Applications. 429(10). 2567–2588. 7 indexed citations
6.
Nabben, Reinhard & C. Vuik. (2008). A comparison of abstract versions of deflation, balancing and additive coarse grid correction preconditioners. Numerical Linear Algebra with Applications. 15(4). 355–372.
7.
Tang, Jinyu, Reinhard Nabben, C. Vuik, & Yogi A. Erlangga. (2007). Theoretical and numerical comparison of various projection methods derived from deflation, domain decomposition and multigrid methods. Research Repository (Delft University of Technology). 7 indexed citations
8.
Nabben, Reinhard & C. Vuik. (2006). Domain decomposition methods and deflated Krylov subspace iterations. Research Repository (Delft University of Technology). 1 indexed citations
9.
Butkovič, Peter, Leslie Hogben, Reinhard Nabben, Zdeněk Strakoš, & Miroslav Tůma. (2006). A brief biography and appreciation of Miroslav Fiedler with a bibliography of his books and papers. Linear Algebra and its Applications. 421(2-3). 173–181.
10.
Nabben, Reinhard. (2006). On relationships between several classes of Z-matrices, M-matrices and nonnegative matrices. Linear Algebra and its Applications. 421(2-3). 417–439. 3 indexed citations
11.
Nabben, Reinhard & Daniel B. Szyld. (2006). Schwarz Iterations for Symmetric Positive Semidefinite Problems. SIAM Journal on Matrix Analysis and Applications. 29(1). 98–116. 18 indexed citations
12.
Friedland, Shmuel & Reinhard Nabben. (2002). On Cheeger‐type inequalities for weighted graphs. Journal of Graph Theory. 41(1). 1–17. 10 indexed citations
13.
Nabben, Reinhard & Daniel B. Szyld. (2002). Convergence Theory of Restricted Multiplicative Schwarz Methods. SIAM Journal on Numerical Analysis. 40(6). 2318–2336. 19 indexed citations
14.
Nabben, Reinhard. (1999). Two-sided bounds on the inverses of diagonally dominant tridiagonal matrices. Linear Algebra and its Applications. 287(1-3). 289–305. 22 indexed citations
15.
Elsner, L., Reinhard Nabben, & Michael Neumann. (1998). Orthogonal bases that lead to symmetric nonnegative matrices. Linear Algebra and its Applications. 271(1-3). 323–343. 27 indexed citations
16.
Nabben, Reinhard, et al.. (1997). Study of the fluid flow in the mould for high quality slab casting. Revue de Métallurgie. 94(6). 751–760. 2 indexed citations
17.
Nabben, Reinhard. (1997). Z-matrices and inverse Z-matrices. Linear Algebra and its Applications. 256. 31–48. 10 indexed citations
18.
Friedland, Shmuel & Reinhard Nabben. (1997). On the second real eigenvalue of nonegative and Z-matrices. Linear Algebra and its Applications. 255(1-3). 303–313. 12 indexed citations
19.
Nabben, Reinhard & Richard S. Varga. (1995). Generalized ultrametric matrices — a class of inverse M-matrices. Linear Algebra and its Applications. 220. 365–390. 26 indexed citations
20.
Nabben, Reinhard & Richard S. Varga. (1995). On classes of inverse Z-matrices. Linear Algebra and its Applications. 223-224. 521–552. 6 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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