A. R. Mitchell

4.2k citations
80 papers · 3.0k · 2 hit papers · h-index 22

Impact in

    • Numerical methods for differential equations
    • Differential Equations and Numerical Methods
    • Advanced Numerical Methods in Computational Mathematics
    • Computational Fluid Dynamics and Aerodynamics
    • Fluid Dynamics and Turbulent Flows

Papers in

    • Differential Equations and Numerical Methods 28
    • Numerical methods for differential equations 16
    • Advanced Numerical Methods in Computational Mathematics 21
    • Computational Fluid Dynamics and Aerodynamics 11

A. R. Mitchell

76 papers receiving 2.7k citations

A. R. Mitchell's Hit Papers

The Finite Difference Method in Partial Differential Equations 1980 · 830 citations
8300+16+33Years since publication250500750

Peers

A. R. Mitchell
Comparison fields: 5 of 118
  • Numerical Analysis 954
  • Computational Mechanics 1.4k
  • Modeling and Simulation 182
  • Statistical and Nonlinear Physics 368
  • Computational Theory and Mathematics 345
Replace H.H. Rachford with:
H.H. Rachford United States
A. H. Nayfeh United States
T. A. Zang United States
D.W. Peaceman United States
J. R. Ockendon United Kingdom
J. Kevorkian United States
V. I. Krylov Russia
Willem Hundsdorfer Netherlands
Graham F. Carey United States
A.A. Samarskii Slovakia
A. R. Mitchell relative to H.H. Rachford United States H.H. Rachford's profile →
Citations per field
00.5×1.5×2.3×
H.H. Rachford · 1×
Citations per year

Countries citing papers authored by A. R. Mitchell

Since Specialization
Citations

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

Fields of papers citing papers by A. R. Mitchell

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. R. Mitchell. 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 A. R. Mitchell. The network helps show where A. R. Mitchell may publish in the future.

Co-authors

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

All Works

20 of 20 papers shown

Showing the 20 most-cited of 80 papers — load more, or switch the sort, to bring in the rest.

#Work
1
The Finite Difference Method in Partial Differential Equations
Hit paper breakdown →
1980830
2 1977448
3
Finite element methods for second order differential equations with significant first derivatives
Hit paper breakdown →
1976398
4 1988140
5 1981108
6 198479
7 196772
8 197860
9 198455
10 196451
11 198550
12 196541
13 197940
14 198035
15 198934
16 196230
17 196928
18 198327
19 198627
20 198522

About A. R. Mitchell

A. R. Mitchell is a scholar working on Numerical Analysis, Computational Mechanics, Mechanics of Materials, Mathematical Physics and Applied Mathematics, having authored 80 papers that have together received 3.0k indexed citations. Recurring topics across this work include Differential Equations and Numerical Methods (28 papers), Advanced Numerical Methods in Computational Mathematics (21 papers), Numerical methods for differential equations (16 papers), Numerical methods in engineering (11 papers), Computational Fluid Dynamics and Aerodynamics (11 papers), Differential Equations and Boundary Problems (9 papers), Mathematical and Theoretical Epidemiology and Ecology Models (7 papers) and Advanced Mathematical Physics Problems (6 papers). The work is most often cited by research in Numerical Analysis (954 citations), Computational Mechanics (1.4k citations), Modeling and Simulation (182 citations), Statistical and Nonlinear Physics (368 citations) and Computational Theory and Mathematics (345 citations). A. R. Mitchell has collaborated with scholars based in United Kingdom, United States and South Africa. Frequent co-authors include David F. Griffiths, O. C. Zienkiewicz, I. Christie, J Heinrich, Peter S. Huyakorn, Graeme Fairweather, A. R. Gourlay, R. Wait, J. Ll. Morris and B. M. Herbst. Their work appears in journals such as International Journal for Numerical Methods in Engineering, Numerische Mathematik, Journal of Computational Physics, Mathematics of Computation and SIAM Journal on Numerical 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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