P. Sonneveld

1.8k total citations · 1 hit paper
19 papers, 1.2k citations indexed

About

P. Sonneveld is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Numerical Analysis. According to data from OpenAlex, P. Sonneveld has authored 19 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Computational Theory and Mathematics, 7 papers in Computational Mechanics and 6 papers in Numerical Analysis. Recurrent topics in P. Sonneveld's work include Matrix Theory and Algorithms (11 papers), Advanced Numerical Methods in Computational Mathematics (5 papers) and Advanced Optimization Algorithms Research (3 papers). P. Sonneveld is often cited by papers focused on Matrix Theory and Algorithms (11 papers), Advanced Numerical Methods in Computational Mathematics (5 papers) and Advanced Optimization Algorithms Research (3 papers). P. Sonneveld collaborates with scholars based in Netherlands. P. Sonneveld's co-authors include Martin B. van Gijzen, Pieter Wesseling, J. van Kan, Gérard L. G. Sleijpen, Cornelis W. Oosterlee, Jiangming Kan, K. W. Morton and M. J. Baines and has published in prestigious journals such as SIAM Journal on Scientific Computing, ACM Transactions on Mathematical Software and Journal of Mathematical Biology.

In The Last Decade

P. Sonneveld

18 papers receiving 1.0k citations

Hit Papers

CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear s... 1989 2026 2001 2013 1989 250 500 750

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
P. Sonneveld Netherlands 10 752 519 418 363 209 19 1.2k
Noël M. Nachtigal United States 8 781 1.0× 363 0.7× 477 1.1× 443 1.2× 231 1.1× 10 1.2k
Diederik R. Fokkema Netherlands 8 582 0.8× 276 0.5× 428 1.0× 328 0.9× 230 1.1× 9 966
Jianlin Xia United States 21 729 1.0× 479 0.9× 632 1.5× 385 1.1× 414 2.0× 73 1.5k
Zdeněk Strakoš Czechia 24 1.2k 1.5× 713 1.4× 488 1.2× 576 1.6× 141 0.7× 58 1.8k
Yvan Notay Belgium 22 1.2k 1.6× 1.1k 2.1× 605 1.4× 485 1.3× 251 1.2× 71 1.8k
Miroslav Tůma Czechia 19 1.3k 1.7× 726 1.4× 942 2.3× 416 1.1× 201 1.0× 64 1.7k
Martin H. Gutknecht Switzerland 20 1.0k 1.4× 432 0.8× 485 1.2× 669 1.8× 182 0.9× 68 1.6k
Scott MacLachlan Canada 22 649 0.9× 926 1.8× 188 0.4× 339 0.9× 280 1.3× 85 1.4k
J. Ruge United States 23 793 1.1× 1.1k 2.2× 193 0.5× 266 0.7× 301 1.4× 55 1.5k
Garry Rodrigue United States 18 337 0.4× 394 0.8× 272 0.7× 243 0.7× 309 1.5× 56 1.0k

Countries citing papers authored by P. Sonneveld

Since Specialization
Citations

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

Fields of papers citing papers by P. Sonneveld

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of P. Sonneveld

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

All Works

19 of 19 papers shown
1.
Sonneveld, P.. (2012). On the Convergence Behavior of IDR($s$) and Related Methods. SIAM Journal on Scientific Computing. 34(5). A2576–A2598. 8 indexed citations
2.
Gijzen, Martin B. van & P. Sonneveld. (2011). Algorithm 913. ACM Transactions on Mathematical Software. 38(1). 1–19. 29 indexed citations
3.
Sonneveld, P.. (2010). On the statistical properties of solutions of completely random linear systems. Data Archiving and Networked Services (DANS). 3 indexed citations
4.
Sonneveld, P.. (2010). On the convergence behaviour of IDR(s). Research Repository (Delft University of Technology). 11 indexed citations
5.
Gijzen, Martin B. van & P. Sonneveld. (2010). An elegant IDR(s) variant that efficiently exploits bi-orthogonality properties. Research Repository (Delft University of Technology). 25 indexed citations
6.
Sonneveld, P., et al.. (2009). Nonnegative matrix factorization of a correlation matrix. Linear Algebra and its Applications. 431(3-4). 334–349. 7 indexed citations
7.
Sleijpen, Gérard L. G., P. Sonneveld, & Martin B. van Gijzen. (2009). Bi-CGSTAB as an induced dimension reduction method. Applied Numerical Mathematics. 60(11). 1100–1114. 13 indexed citations
8.
Gijzen, Martin B. van & P. Sonneveld. (2008). The IDR(s) method for solving nonsymmetric systems: a performance study for CFD problems (計算科学の基盤技術としての高速アルゴリズムとその周辺--RIMS研究集会). 数理解析研究所講究録. 1614. 53–63.
9.
Sonneveld, P. & Martin B. van Gijzen. (2008). IDR(s): A Family of Simple and Fast Algorithms for Solving Large Nonsymmetric Systems of Linear Equations. SIAM Journal on Scientific Computing. 31(2). 1035–1062. 161 indexed citations
10.
Gijzen, Martin B. van & P. Sonneveld. (2008). The IDR(s) method for solving nonsymmetric systems : a performance study for CFD problems (High Performance Algorithms for Computational Science and Their Applications). 2 indexed citations
11.
Sonneveld, P.. (2008). Ags-idr-cgs-bicgstab-idr(s): the circle closed. A case of serendipity.. 1–14. 2 indexed citations
12.
Sonneveld, P. & Martin B. van Gijzen. (2007). IDR(s): A family of simple and fast algorithms for solving large nonsymmetric linear systems. Data Archiving and Networked Services (DANS). 41 indexed citations
13.
Sonneveld, P.. (2004). Some properties of the generalized eigenvalue problem Mx=λ(Γ - cI)x, where M is the infinitesimal generator of a Markov process, and Γ is a real diagonal matrix. Research Repository (Delft University of Technology). 5 indexed citations
14.
Sonneveld, P.. (1989). CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems. SIAM Journal on Scientific and Statistical Computing. 10(1). 36–52. 811 indexed citations breakdown →
15.
Sonneveld, P., et al.. (1988). New method for the analysis of flow cytometric data.. PubMed. 10(4). 261–8. 1 indexed citations
16.
Sonneveld, P., et al.. (1986). Multigrid and conjugate gradient accelerations of basic iterative methods. Data Archiving and Networked Services (DANS). 3 indexed citations
17.
Sonneveld, P., et al.. (1985). Multigrid and conjugate gradient methods as convergence acceleration techniques. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 117–167. 57 indexed citations
18.
Sonneveld, P. & J. van Kan. (1979). On a conjecture about the periodic solution of the logistic equation. Journal of Mathematical Biology. 8(3). 285–289. 11 indexed citations
19.
Sonneveld, P.. (1969). Errors in cubic spline interpolation. Journal of Engineering Mathematics. 3(2). 107–117. 9 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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