Mark H. Carpenter

9.2k citations
116 papers · 7.1k · 3 hit papers · h-index 40

Impact in

    • Computational Fluid Dynamics and Aerodynamics
    • Advanced Numerical Methods in Computational Mathematics
    • Fluid Dynamics and Turbulent Flows
    • Combustion and flame dynamics
    • Numerical methods for differential equations

Papers in

    • Computational Fluid Dynamics and Aerodynamics 81
    • Fluid Dynamics and Turbulent Flows 43
    • Advanced Numerical Methods in Computational Mathematics 42
    • Numerical methods for differential equations 38
    • Differential Equations and Numerical Methods 12

Mark H. Carpenter

113 papers receiving 6.8k citations

Mark H. Carpenter's Hit Papers

High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains 2013 · 241 citations
2410+10+21Years since publication100200300400500

Peers

Mark H. Carpenter
Comparison fields: 5 of 105
  • Computational Mechanics 6.0k
  • Numerical Analysis 1.6k
  • Applied Mathematics 897
  • Fluid Flow and Transfer Processes 377
  • Aerospace Engineering 1.2k
Replace Jean‐Luc Guermond with:
Jean‐Luc Guermond United States
Alexandre Ern France
Sigal Gottlieb United States
Guang-Shan Jiang United States
Burton Wendroff United States
M. Y. Hussaini United States
Pierre-Arnaud Raviart France
Rémi Abgrall France
William Layton United States
Robert F. Warming United States
Mark H. Carpenter relative to Jean‐Luc Guermond United States Jean‐Luc Guermond's profile →
Citations per field
00.5×2×3×3.6×
Jean‐Luc Guermond · 1×
Citations per year

Countries citing papers authored by Mark H. Carpenter

Since Specialization
Citations

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

Fields of papers citing papers by Mark H. Carpenter

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mark H. Carpenter. 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 Mark H. Carpenter. The network helps show where Mark H. Carpenter may publish in the future.

Co-authors

The 25 scholars most cited alongside Mark H. Carpenter, 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 Mark H. Carpenter Line = papers co-authored together Mark H. Carpenter links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 116 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Additive Runge–Kutta schemes for convection–diffusion–reaction equations
Hit paper breakdown →
2002567
2
Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes
Hit paper breakdown →
1994535
3 2000468
4 1994421
5 1999375
6 1993359
7
Fourth-order 2N-storage Runge-Kutta schemes
1994345
8
High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains
Hit paper breakdown →
2013241
9 2007206
10 2014204
11 2002169
12 1999152
13 2009145
14 1995140
15 2001127
16 2007127
17 2012126
18 1996114
19 2009107
20 1999104

About Mark H. Carpenter

Mark H. Carpenter is a scholar working on Computational Mechanics, Numerical Analysis, Applied Mathematics, Aerospace Engineering and Statistical and Nonlinear Physics, having authored 116 papers that have together received 7.1k indexed citations. Recurring topics across this work include Computational Fluid Dynamics and Aerodynamics (81 papers), Fluid Dynamics and Turbulent Flows (43 papers), Advanced Numerical Methods in Computational Mathematics (42 papers), Numerical methods for differential equations (38 papers), Gas Dynamics and Kinetic Theory (16 papers), Electromagnetic Simulation and Numerical Methods (15 papers), Differential Equations and Numerical Methods (12 papers) and Model Reduction and Neural Networks (10 papers). The work is most often cited by research in Computational Mechanics (6.0k citations), Numerical Analysis (1.6k citations), Applied Mathematics (897 citations), Fluid Flow and Transfer Processes (377 citations) and Aerospace Engineering (1.2k citations). Mark H. Carpenter has collaborated with scholars based in United States, Sweden and Saudi Arabia. Frequent co-authors include David J. Gottlieb, Christopher A. Kennedy, Christopher A. Kennedy, Jan Nordström, Saul S. Abarbanel, Travis C. Fisher, Nail K. Yamaleev, Robert Michael Lewis, Eric J. Nielsen and Veer N. Vatsa. Their work appears in journals such as Journal of Computational Physics, AIAA Journal, Journal of Scientific Computing, SIAM Journal on Scientific Computing and Applied Numerical Mathematics.

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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