A. R. Humphries

1.3k total citations
32 papers, 907 citations indexed

About

A. R. Humphries is a scholar working on Numerical Analysis, Computer Networks and Communications and Computational Mechanics. According to data from OpenAlex, A. R. Humphries has authored 32 papers receiving a total of 907 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Numerical Analysis, 9 papers in Computer Networks and Communications and 9 papers in Computational Mechanics. Recurrent topics in A. R. Humphries's work include Numerical methods for differential equations (14 papers), Nonlinear Dynamics and Pattern Formation (9 papers) and Differential Equations and Numerical Methods (7 papers). A. R. Humphries is often cited by papers focused on Numerical methods for differential equations (14 papers), Nonlinear Dynamics and Pattern Formation (9 papers) and Differential Equations and Numerical Methods (7 papers). A. R. Humphries collaborates with scholars based in Canada, United States and United Kingdom. A. R. Humphries's co-authors include Andrew M. Stuart, Erik S. Van Vleck, Michael C. Mackey, Morgan Craig, Jacques Bélair, F. M. G. Magpantay, Chris Budd, Jayme De Luca, Fahima Nekka and Jun Li and has published in prestigious journals such as Journal of Theoretical Biology, SIAM Journal on Numerical Analysis and Physica D Nonlinear Phenomena.

In The Last Decade

A. R. Humphries

30 papers receiving 829 citations

Peers

Countries citing papers authored by A. R. Humphries

Since Specialization

Citations

This map shows the geographic impact of A. R. Humphries'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. Humphries 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. Humphries more than expected).

Fields of papers citing papers by A. R. Humphries

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. R. Humphries

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

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Dynamics of a state-dependent delay-differential equation 2025 ·Electronic journal of qualitative theory of differential equations ·Tomáš Gedeon, A. R. Humphries, Michael C. Mackey, Hans‐Otto Walther, (unknown)	1
2	Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop 2022 ·Discrete and Continuous Dynamical Systems - B ·A. R. Humphries, Bernd Krauskopf, (unknown), Jan Sieber	0
3	Numerical methods and hypoexponential approximations for gamma distributed delay differential equations 2022 ·IMA Journal of Applied Mathematics ·(unknown), (unknown), A. R. Humphries, Christiaan H. van Dorp	2
4	Operon dynamics with state dependent transcription and/or translation delays 2021 ·Journal of Mathematical Biology ·Tomáš Gedeon, A. R. Humphries, Michael C. Mackey, Hans‐Otto Walther, (unknown)	8
5	Characterizing Chemotherapy-Induced Neutropenia and Monocytopenia Through Mathematical Modelling 2020 ·Bulletin of Mathematical Biology ·(unknown), A. R. Humphries, Morgan Craig, Michael C. Mackey	8
6	A mathematical model of viral oncology as an immuno-oncology instigator 2019 ·Mathematical Medicine and Biology A Journal of the IMA ·(unknown), A. R. Humphries	9
7	Normal and pathological dynamics of platelets in humans 2017 ·Journal of Mathematical Biology ·(unknown), Morgan Craig, A. R. Humphries, Michael C. Mackey, Joseph M. Mahaffy, Jacques Bélair, (unknown), (unknown), Liangliang Wang	21
8	Efficient accurate non-iterative breaking point detection and computation for state-dependent delay differential equations 2015 ·AIP conference proceedings ·(unknown), A. R. Humphries	3
9	Neutrophil dynamics during concurrent chemotherapy and G-CSF administration: Mathematical modelling guides dose optimisation to minimise neutropenia 2015 ·Journal of Theoretical Biology ·Morgan Craig, A. R. Humphries, Fahima Nekka, Jacques Bélair, Jun Li, Michael C. Mackey	29
10	Lyapunov-Razumikhin techniques for state-dependent delay differential equations 2015 ·arXiv (Cornell University) ·A. R. Humphries, F. M. G. Magpantay	1
11	Synchronization in ecological systems by weak dispersal coupling with time delay 2013 ·Theoretical Ecology ·(unknown), Frédéric Guichard, A. R. Humphries	16
12	Finite element boundary value integration of Wheeler–Feynman electrodynamics 2012 ·Journal of Computational and Applied Mathematics ·Jayme De Luca, A. R. Humphries, (unknown)	10
13	Front Solutions for Bistable Differential-Difference Equations with Inhomogeneous Diffusion 2011 ·SIAM Journal on Applied Mathematics ·A. R. Humphries, Brian E. Moore, Erik S. Van Vleck	4
14	Computation of Mixed Type Functional Differential Boundary Value Problems 2005 ·SIAM Journal on Applied Dynamical Systems ·(unknown), (unknown), A. R. Humphries, Erik S. Van Vleck	49
15	Numerical and analytical estimates of existence regions for semi-linear elliptic equations with critical Sobolev exponents in cuboid and cylindrical domains 2002 ·Journal of Computational and Applied Mathematics ·Chris Budd, A. R. Humphries	3
16	Mosaic solutions and entropy for discrete coupled phase-transition equations 2001 ·Physica D Nonlinear Phenomena ·(unknown), A. R. Humphries, Erik S. Van Vleck	2
17	Weak finite‐dimensional approximations of semi‐linear elliptic PDEs with near‐critical exponents 1998 ·Asymptotic Analysis ·Chris Budd, A. R. Humphries	4
18	Dynamical systems and numerical analysis 1996 ·CaltechAUTHORS (California Institute of Technology) ·Andrew M. Stuart, A. R. Humphries	475
19	Model Problems in Numerical Stability Theory for Initial Value Problems 1994 ·SIAM Review ·Andrew M. Stuart, A. R. Humphries	66
20	An analysis of local error control for dissipative, contractive and gradient dynamical systems 1992 ·Andrew M. Stuart, A. R. Humphries	1

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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