Ray Tuminaro

2.6k total citations · 1 hit paper
32 papers, 1.6k citations indexed

About

Ray Tuminaro is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Hardware and Architecture. According to data from OpenAlex, Ray Tuminaro has authored 32 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Computational Mechanics, 16 papers in Computational Theory and Mathematics and 11 papers in Hardware and Architecture. Recurrent topics in Ray Tuminaro's work include Advanced Numerical Methods in Computational Mathematics (23 papers), Matrix Theory and Algorithms (16 papers) and Parallel Computing and Optimization Techniques (11 papers). Ray Tuminaro is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (23 papers), Matrix Theory and Algorithms (16 papers) and Parallel Computing and Optimization Techniques (11 papers). Ray Tuminaro collaborates with scholars based in United States, Switzerland and Germany. Ray Tuminaro's co-authors include John N. Shadid, Jonathan Joseph Hu, Howard C. Elman, Victoria E. Howle, Robert Shuttleworth, Roscoe Bartlett, Richard B. Lehoucq, Robert J. Hoekstra, Andrew G. Salinger and Michael A. Heroux and has published in prestigious journals such as Journal of Computational Physics, International Journal for Numerical Methods in Engineering and SIAM Journal on Scientific Computing.

In The Last Decade

Ray Tuminaro

30 papers receiving 1.5k citations

Hit Papers

An overview of the Trilinos project 2005 2026 2012 2019 2005 200 400 600

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Ray Tuminaro United States 15 984 610 273 269 222 32 1.6k
Roger P. Pawlowski United States 22 835 0.8× 411 0.7× 237 0.9× 208 0.8× 276 1.2× 68 1.8k
Barry Smith United States 22 919 0.9× 488 0.8× 196 0.7× 245 0.9× 267 1.2× 69 1.6k
Jacko Koster United Kingdom 4 723 0.7× 653 1.1× 237 0.9× 190 0.7× 379 1.7× 7 1.8k
Patrick Amestoy France 8 678 0.7× 528 0.9× 183 0.7× 190 0.7× 405 1.8× 14 1.8k
Jonathan Joseph Hu United States 14 690 0.7× 415 0.7× 147 0.5× 311 1.2× 245 1.1× 31 1.3k
Tzanio Kolev United States 24 1.2k 1.3× 469 0.8× 286 1.0× 215 0.8× 388 1.7× 72 1.9k
Patrick Amestoy France 14 927 0.9× 862 1.4× 259 0.9× 289 1.1× 583 2.6× 34 2.8k
Ulrike Meier Yang United States 19 848 0.9× 633 1.0× 179 0.7× 430 1.6× 180 0.8× 39 1.5k
I. S. Duff France 15 439 0.4× 652 1.1× 247 0.9× 177 0.7× 373 1.7× 27 1.4k
Marian Brezina United States 17 1.4k 1.4× 1.1k 1.8× 326 1.2× 109 0.4× 327 1.5× 32 1.8k

Countries citing papers authored by Ray Tuminaro

Since Specialization
Citations

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

Fields of papers citing papers by Ray Tuminaro

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ray Tuminaro

This figure shows the co-authorship network connecting the top 25 collaborators of Ray Tuminaro. A scholar is included among the top collaborators of Ray Tuminaro 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 Ray Tuminaro. Ray Tuminaro 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.
Mayr, Matthias, et al.. (2022). NonInvasive Multigrid For SemiStructured Grids. SIAM Journal on Scientific Computing. 44(4). A2734–A2764. 3 indexed citations
2.
Carlberg, Kevin, et al.. (2016). Krylov-Subspace Recycling via the POD-Augmented Conjugate-Gradient Method. SIAM Journal on Matrix Analysis and Applications. 37(3). 1304–1336. 17 indexed citations
3.
Hu, Jonathan Joseph, et al.. (2012). Design Considerations for a Flexible Multigrid Preconditioning Library. Scientific Programming. 20(3). 223–239. 7 indexed citations
4.
5.
Tuminaro, Ray, Michele Benzi, Xiao‐Chuan Cai, et al.. (2011). Special Section: 2010 Copper Mountain Conference. SIAM Journal on Scientific Computing. 33(5). 2685–2685.
6.
Lin, Paul, John N. Shadid, Ray Tuminaro, & Marzio Sala. (2010). Performance of a Petrov–Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift‐diffusion equations. International Journal for Numerical Methods in Engineering. 84(4). 448–469. 9 indexed citations
7.
Elman, Howard C. & Ray Tuminaro. (2009). BOUNDARY CONDITIONS IN APPROXIMATE COMMUTATOR PRECONDITIONERS FOR THE NAVIER-STOKES EQUATIONS ∗. Digital Repository at the University of Maryland (University of Maryland College Park). 37 indexed citations
8.
Elman, Howard C., Victoria E. Howle, John N. Shadid, David J. Silvester, & Ray Tuminaro. (2007). Least Squares Preconditioners for Stabilized Discretizations of the Navier–Stokes Equations. SIAM Journal on Scientific Computing. 30(1). 290–311. 46 indexed citations
9.
Gee, Michael W., Christopher Siefert, Jonathan Joseph Hu, & Ray Tuminaro. (2006). ML 5.0 Smoothed Aggregation User's Guide. 134 indexed citations
10.
Elman, Howard C., Victoria E. Howle, John N. Shadid, Robert Shuttleworth, & Ray Tuminaro. (2006). Block Preconditioners Based on Approximate Commutators. SIAM Journal on Scientific Computing. 27(5). 1651–1668. 121 indexed citations
11.
Adams, Mark F., Marian Brezina, Jonathan Joseph Hu, & Ray Tuminaro. (2003). Parallel multigrid smoothing: polynomial versus Gauss–Seidel. Journal of Computational Physics. 188(2). 593–610. 132 indexed citations
12.
Elman, Howard C., Victoria E. Howle, John N. Shadid, & Ray Tuminaro. (2003). A parallel block multi-level preconditioner for the 3D incompressible Navier–Stokes equations. Journal of Computational Physics. 187(2). 504–523. 43 indexed citations
13.
Tuminaro, Ray, John N. Shadid, & S.A. Hutchinson. (1998). Parallel sparse matrix vector multiply software for matrices with data locality. Concurrency Practice and Experience. 10(3). 229–247. 18 indexed citations
14.
Shadid, John N., Ray Tuminaro, & Homer F. Walker. (1997). An Inexact Newton Method for Fully Coupled Solution of the Navier–Stokes Equations with Heat and Mass Transport. Journal of Computational Physics. 137(1). 155–185. 59 indexed citations
15.
Shadid, John N. & Ray Tuminaro. (1994). A Comparison of Preconditioned Nonsymmetric Krylov Methods on a Large-Scale MIMD Machine. SIAM Journal on Scientific Computing. 15(2). 440–459. 31 indexed citations
16.
Golub, Gene H. & Ray Tuminaro. (1992). Cyclic reduction/multigrid. 4 indexed citations
17.
Shadid, John N. & Ray Tuminaro. (1991). Iterative Methods for Nonsymmetric Systems on MIMD Machines. University of North Texas Digital Library (University of North Texas). 123–129. 7 indexed citations
18.
Chan, Tony F. & Ray Tuminaro. (1989). Analysis of a parallel multigrid algorithm. Rare & Special e-Zone (The Hong Kong University of Science and Technology). 8 indexed citations
19.
Chan, Tony F. & Ray Tuminaro. (1987). Implementation of multigrid algorithms on hypercubes. Rare & Special e-Zone (The Hong Kong University of Science and Technology). 1 indexed citations
20.
Chan, Tony F. & Ray Tuminaro. (1987). A survey of parallel multigrid algorithms. Rare & Special e-Zone (The Hong Kong University of Science and Technology). 86. 155. 7 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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