Peter N. Brown

7.7k citations
40 papers · 6.0k · 3 hit papers · h-index 21

Impact in

Papers in

Peter N. Brown

38 papers receiving 5.5k citations

Peter N. Brown's Hit Papers

SUNDIALS 2005 · 2.0k citations
2.0k0+12+24Years since publication50010001.5k

Peers

Peter N. Brown
Comparison fields: 5 of 154
  • Numerical Analysis 1.3k
  • Fluid Flow and Transfer Processes 604
  • Computational Mechanics 2.0k
  • Computational Theory and Mathematics 1.2k
  • Computational Mathematics 24
Replace A.C. Hindmarsh with:
A.C. Hindmarsh United States
Peter Deuflhard Germany
David E. Keyes Saudi Arabia
C. W. Gear United States
David J. Jeffrey Canada
Endre Süli United Kingdom
Stefan Turek Germany
Alexandre Ern France
Jean‐Luc Guermond France
Claes Johnson Sweden
Peter N. Brown relative to A.C. Hindmarsh United States A.C. Hindmarsh's profile →
Citations per field
00.5×3.4×
A.C. Hindmarsh · 1×
Citations per year

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-authors

The 25 scholars most cited alongside Peter N. Brown, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Peter N. Brown Line = papers co-authored together Peter N. Brown links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 40 papers — load more, or switch the sort, to bring in the rest.

#Work
1
SUNDIALS
Hit paper breakdown →
20051974
2
VODE: A Variable-Coefficient ODE Solver
Hit paper breakdown →
19891370
3
Hybrid Krylov Methods for Nonlinear Systems of Equations
Hit paper breakdown →
1990589
4 1994356
5 1989175
6 1994164
7 1997149
8 1986144
9 1989135
10 1991113
11 1998109
12 1987107
13 1994104
14 1980100
15 200096
16 200141
17 200437
18 199933
19 199531
20 199528

About Peter N. Brown

Peter N. Brown is a scholar working on Computational Theory and Mathematics, Numerical Analysis, Computational Mechanics, Aerospace Engineering and Applied Mathematics, having authored 40 papers that have together received 6.0k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (17 papers), Numerical methods for differential equations (11 papers), Nuclear reactor physics and engineering (8 papers), Advanced Numerical Methods in Computational Mathematics (7 papers), Gas Dynamics and Kinetic Theory (6 papers), Iterative Methods for Nonlinear Equations (5 papers), Advanced Optimization Algorithms Research (5 papers) and Mathematical and Theoretical Epidemiology and Ecology Models (4 papers). The work is most often cited by research in Numerical Analysis (1.3k citations), Fluid Flow and Transfer Processes (604 citations), Computational Mechanics (2.0k citations), Computational Theory and Mathematics (1.2k citations) and Computational Mathematics (24 citations). Peter N. Brown has collaborated with scholars based in United States, China and Ireland. Frequent co-authors include A.C. Hindmarsh, George D. Byrne, Carol S. Woodward, Dan Shumaker, Steven L. Lee, Radu Serban, Keith Eric Grant, Linda Petzold, Homer F. Walker and Robert D. Falgout. Their work appears in journals such as SIAM Journal on Scientific Computing, SIAM Journal on Numerical Analysis, Journal of Computational Physics, SIAM Journal on Applied Mathematics and SIAM Journal on Mathematical Analysis.

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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