Peter N. Brown

7.5k total citations · 3 hit papers
37 papers, 5.6k citations indexed

About

Peter N. Brown is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Computational Mechanics. According to data from OpenAlex, Peter N. Brown has authored 37 papers receiving a total of 5.6k indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Computational Theory and Mathematics, 14 papers in Numerical Analysis and 12 papers in Computational Mechanics. Recurrent topics in Peter N. Brown's work include Matrix Theory and Algorithms (16 papers), Numerical methods for differential equations (11 papers) and Advanced Numerical Methods in Computational Mathematics (7 papers). Peter N. Brown is often cited by papers focused on Matrix Theory and Algorithms (16 papers), Numerical methods for differential equations (11 papers) and Advanced Numerical Methods in Computational Mathematics (7 papers). Peter N. Brown collaborates with scholars based in United States, China and Ireland. Peter N. Brown's co-authors include A.C. Hindmarsh, George D. Byrne, Yousef Saad, Carol S. Woodward, Dan Shumaker, Keith Eric Grant, Steven L. Lee, Radu Serban, Linda Petzold and Homer F. Walker and has published in prestigious journals such as Journal of Computational Physics, SIAM Journal on Numerical Analysis and Journal of Nuclear Materials.

In The Last Decade

Peter N. Brown

36 papers receiving 5.2k 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.

SUNDIALS

2005 1.9k citations A.C. Hindmarsh, Peter N. Brown et al. profile →
VODE: A Variable-Coefficient ODE Solver

1989 1.3k citations Peter N. Brown, A.C. Hindmarsh et al. SIAM Journal on Scientific and Statistical Computing profile →
Hybrid Krylov Methods for Nonlinear Systems of Equations

1990 540 citations Peter N. Brown, Yousef Saad SIAM Journal on Scientific and Statistical Computing profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Peter N. Brown United States	20	1.9k	1.2k	1.2k	602	583	37	5.6k
A.C. Hindmarsh United States	24	2.2k 1.2×	1.2k 1.0×	859 0.7×	708 1.2×	805 1.4×	55	7.4k
Peter Deuflhard Germany	40	1.6k 0.9×	1.4k 1.2×	1.3k 1.1×	276 0.5×	199 0.3×	165	6.7k
Thomas A. Zang United States	27	4.5k 2.4×	1.9k 1.7×	907 0.8×	899 1.5×	303 0.5×	67	8.9k
C. W. Gear United States	38	2.4k 1.3×	3.0k 2.6×	2.3k 2.0×	429 0.7×	250 0.4×	100	9.7k
Jean‐Luc Guermond United States	40	6.2k 3.3×	1.2k 1.1×	1.5k 1.3×	323 0.5×	306 0.5×	167	7.6k
Claudio Canuto Italy	28	5.3k 2.8×	2.8k 2.4×	1.4k 1.2×	650 1.1×	321 0.6×	113	10.8k
Yvon Maday France	49	4.0k 2.1×	1.5k 1.3×	1.5k 1.3×	380 0.6×	123 0.2×	207	8.2k
Graham F. Carey United States	41	4.2k 2.2×	984 0.8×	1.0k 0.9×	334 0.6×	193 0.3×	298	6.8k
Herbert B. Keller United States	45	3.6k 1.9×	2.6k 2.3×	2.0k 1.8×	687 1.1×	251 0.4×	130	9.9k
B. J. Matkowsky United States	40	2.2k 1.1×	377 0.3×	284 0.2×	837 1.4×	694 1.2×	202	5.6k

Countries citing papers authored by Peter N. Brown

Since Specialization

Citations

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

Fields of papers citing papers by Peter N. Brown

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter N. Brown. 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 Peter N. Brown. The network helps show where Peter N. Brown may publish in the future.

Co-authorship network of co-authors of Peter N. Brown

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Beck, Belinda R., et al.. (2022). Impacts of Processing Decisions on TNSL Cross Sections and Their Applications. 117–126. 1 indexed citations

Adams, Michael P., Marvin L. Adams, Lawrence Rauchwerger, et al.. (2020). Provably optimal parallel transport sweeps on semi-structured grids. Journal of Computational Physics. 407. 109234–109234. 19 indexed citations

Brown, Peter N., et al.. (2020). Adoption of fuzzy mixed fractional-order ordinary differential equations in spatial information oriented data grid. Alexandria Engineering Journal. 59(4). 2777–2784. 1 indexed citations

Slaybaugh, Rachel, et al.. (2019). A Rayleigh quotient method for criticality eigenvalue problems in neutron transport. Annals of Nuclear Energy. 138. 107120–107120. 7 indexed citations

Brown, Peter N., et al.. (2008). On Using Approximate Finite Differences in Matrix-Free Newton–Krylov Methods. SIAM Journal on Numerical Analysis. 46(4). 1892–1911. 11 indexed citations

Brown, Peter N., D.E. Shumaker, & Carol S. Woodward. (2004). Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration. Journal of Computational Physics. 204(2). 760–783. 35 indexed citations

Brown, Peter N., et al.. (2003). A Moment-Parity Multigrid Preconditioner for the First-Order System Least-Squares Formulation of the Boltzmann Transport Equation. SIAM Journal on Scientific Computing. 25(2). 513–533. 9 indexed citations

Brown, Peter N., et al.. (2001). Spherical harmonic solutions of the Boltzmann transport equation via discrete ordinates. Progress in Nuclear Energy. 39(2). 263–284. 9 indexed citations

Brown, Peter N. & Carol S. Woodward. (2001). Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer. SIAM Journal on Scientific Computing. 23(2). 499–516. 38 indexed citations

10.

Brown, Peter N., Bao Rong Chang, Frank Graziani, & Carol S. Woodward. (1999). Implicit solution of large-scale radiation - material energy transfer problems. University of North Texas Digital Library (University of North Texas). 7 indexed citations

11.

Brown, Peter N. & Homer F. Walker. (1997). GMRES On (Nearly) Singular Systems. SIAM Journal on Matrix Analysis and Applications. 18(1). 37–51. 139 indexed citations

12.

Ashby, Steven F., Peter N. Brown, M. Dörr, & A.C. Hindmarsh. (1995). A Linear Algebraic Analysis of Diffusion Synthetic Acceleration for the Boltzmann Transport Equation. SIAM Journal on Numerical Analysis. 32(1). 128–178. 17 indexed citations

13.

Brown, Peter N.. (1995). A Linear Algebraic Development of Diffusion Synthetic Acceleration for Three-Dimensional Transport Equations. SIAM Journal on Numerical Analysis. 32(1). 179–214. 24 indexed citations

14.

Brown, Peter N., A.C. Hindmarsh, & Linda Petzold. (1994). Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems. SIAM Journal on Scientific Computing. 15(6). 1467–1488. 331 indexed citations

15.

Rognlien, T.D., Peter N. Brown, R. B. Campbell, et al.. (1994). 2‐D Fluid Transport Simulations of Gaseous/Radiative Divertors. Contributions to Plasma Physics. 34(2-3). 362–367. 104 indexed citations

16.

Brown, Peter N.. (1991). A Theoretical Comparison of the Arnoldi and GMRES Algorithms. SIAM Journal on Scientific and Statistical Computing. 12(1). 58–78. 110 indexed citations

17.

Brown, Peter N. & Yousef Saad. (1990). Hybrid Krylov Methods for Nonlinear Systems of Equations. SIAM Journal on Scientific and Statistical Computing. 11(3). 450–481. 540 indexed citations breakdown →

18.

Brown, Peter N.. (1987). A Local Convergence Theory for Combined Inexact-Newton/Finite-Difference Projection Methods. SIAM Journal on Numerical Analysis. 24(2). 407–434. 99 indexed citations

19.

Brown, Peter N.. (1986). Decay to Uniform States in Food Webs. SIAM Journal on Applied Mathematics. 46(3). 376–392. 7 indexed citations

20.

Brown, Peter N., A.C. Hindmarsh, & Homer F. Walker. (1985). Experiments with Quasi-Newton Methods in Solving Stiff ODE Systems. SIAM Journal on Scientific and Statistical Computing. 6(2). 297–313. 8 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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