A. R. Mitchell

4.2k citations

80 papers · 3.0k indexed · 2 hit papers · h-index 22

Numerical Analysis top 0.5%
- Differential Equations and Numerical Methods 28
- Numerical methods for differential equations 16
Computational Mechanics top 0.5%
- Advanced Numerical Methods in Computational Mathematics 21
- Computational Fluid Dynamics and Aerodynamics 11
Modeling and Simulation top 2%
Statistical and Nonlinear Physics top 2%
Computational Theory and Mathematics top 2%
Mechanics of Materials
- Numerical methods in engineering 11
Applied Mathematics
- Differential Equations and Boundary Problems 9
Public Health, Environmental and Occupational Health
- Mathematical and Theoretical Epidemiology and Ecology Models 7
Mathematical Physics
- Advanced Mathematical Physics Problems 6

Co-authors: David F. Griffiths O. C. Zienkiewicz I. Christie J Heinrich Peter S. Huyakorn Graeme Fairweather A. R. Gourlay R. Wait
Cited by: Numerical Analysis Computational Mechanics Modeling and Simulation
Journals: International Journal for Numerical Methods in Engineering (9 papers)Numerische Mathematik (7 papers)Journal of Computational Physics (5 papers)
Partner nations: United Kingdom United States South Africa

In The Last Decade

A. R. Mitchell

76 papers receiving 2.7k citations

Hit Papers

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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.

1980 CERN Document Server (European Organization for Nuclear Research)
1976 International Journal for Numerical Methods in Engineering

Peers

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-authorship network

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

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20 of 20 papers shown

#	Work
1	Multifractal Analysis of Measures Arising from Random Substitutions Communications in Mathematical Physics ·A. R. Mitchell,Mariusz Machciński	2024	1
2	Criteria for assessing evidence for biomarker-targeted therapies in rare cancers—an extrapolation framework Therapeutic Advances in Medical Oncology ·Lusby Wr,Sarah J. Lord,Robyn L. Ward,Maarten J. IJzerman,A. R. Mitchell,David M. Thomas,Saskia Cheyne,Andrew Martin,Rachael L. Morton,John Simes,Chee Khoon Lee	2024	2
3	Measure Theoretic Entropy of Random Substitution Subshifts Annales Henri Poincaré ·Gokul Pandy,A. R. Mitchell,D. M. Rust,Шевцов В.В.	2022	6
4	Numerical solution of hamiltonian systems in reaction-diffusion by symplectic difference schemes Journal of Computational Physics ·A. R. Mitchell,Siti Nurkhalimah,B. D. Sleeman	1991	2
5	Nonlinear diffusion and stable period 2 solutions of a discrete reaction-diffusion model Journal of Computational and Applied Mathematics ·A. R. Mitchell,C. Zehender	1989	7
6	Equidistributing principles in moving finite element methods Journal of Computational and Applied Mathematics ·B. M. Herbst,C. Zehender,A. R. Mitchell	1983	27
7	A Comparison of Finite Element Error Bounds for Poisson's Equation IMA Journal of Numerical Analysis ·Robert E. Barnhill,John Mirenge,A. R. Mitchell	1981	10
8	Upwinding by Petron-Galerkin methods in convection-diffusion problems Journal of Computational and Applied Mathematics ·A. R. Mitchell,David F. Griffiths	1980	14
9	Analysis of error growth for explicit difference schemes in conduction–convection problems International Journal for Numerical Methods in Engineering ·David F. Griffiths,I. Christie,A. R. Mitchell	1980	35
10	Analysis of Generalised Galerkin methods in the numerical solution of elliptic equations Mathematical Methods in the Applied Sciences ·Robert Anderssen,A. R. Mitchell	1979	3
11	Advantages of cubics for approximating element boundaries Computers & Mathematics with Applications ·A. R. Mitchell	1979	10
12	Blending interpolants in the finite element method International Journal for Numerical Methods in Engineering ·佐々木善敏,A. R. Mitchell	1978	17
13	A Note on Topologies on Finite Sets The Fibonacci quarterly ·A. R. Mitchell,Roger W. Mitchell	1975	0
14	On the Structure of Alternating Direction Implicit (A.D.I.) and Locally One Dimensional (L.O.D.) Difference Methods IMA Journal of Applied Mathematics ·A. R. Gourlay,A. R. Mitchell	1972	13
15	Introduction to Partial Differential Equations and Boundary Value Problems. By R. Dennemeyer. Pp. 376. $13.75. 1968. (McGraw Hill) The Mathematical Gazette ·A. R. Mitchell	1971	0
16	High accuracy A.D.I. methods for parabolic equations with variable coefficients Numerische Mathematik ·A. R. Gourlay,A. R. Mitchell	1968	3
17	Finite difference solution of the third boundary problem in elliptic and parabolic equations Numerische Mathematik ·P. Keast,A. R. Mitchell	1967	11
18	Explicit difference methods for solving the cylindrical heat conduction equation Mathematics of Computation ·A. R. Mitchell,R. P. Pearce	1963	10
19	Solution of the von Mises boundary layer equation using a high-speed computer Mathematics of Computation ·A. R. Mitchell	1961	3
20	Round-off errors in the solution of the heat conduction equation by relaxation methods Applied Scientific Research ·A. R. Mitchell	1953	3

About A. R. Mitchell

A. R. Mitchell is a scholar working on Numerical Analysis, Mathematical Physics, Computational Mechanics, Applied Mathematics and Mechanics of Materials, 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), Computational Fluid Dynamics and Aerodynamics (11 papers), Numerical methods in engineering (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 (956 citations), Computational Mechanics (1.4k citations), Modeling and Simulation (180 citations), Statistical and Nonlinear Physics (365 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 Zeitschrift für angewandte Mathematik und Physik.

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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