A. D. MacGillivray

841 total citations
26 papers, 609 citations indexed

About

A. D. MacGillivray is a scholar working on Physical and Theoretical Chemistry, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, A. D. MacGillivray has authored 26 papers receiving a total of 609 indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Physical and Theoretical Chemistry, 8 papers in Numerical Analysis and 7 papers in Computational Theory and Mathematics. Recurrent topics in A. D. MacGillivray's work include Electrostatics and Colloid Interactions (10 papers), Advanced Mathematical Modeling in Engineering (6 papers) and Differential Equations and Numerical Methods (5 papers). A. D. MacGillivray is often cited by papers focused on Electrostatics and Colloid Interactions (10 papers), Advanced Mathematical Modeling in Engineering (6 papers) and Differential Equations and Numerical Methods (5 papers). A. D. MacGillivray collaborates with scholars based in United States. A. D. MacGillivray's co-authors include Hans F. Weinberger, S. P. Hastings, Richard Braun, Nicholas D. Kazarinoff and Bing Liu and has published in prestigious journals such as The Journal of Chemical Physics, The Journal of Physical Chemistry and Journal of Theoretical Biology.

In The Last Decade

A. D. MacGillivray

26 papers receiving 534 citations

Peers

A. D. MacGillivray
YunKyong Hyon South Korea
D.M. Burley United Kingdom
Ben Leimkuhler United Kingdom
I. Frankel Israel
S. I. Hariharan United States
A. D. MacGillivray
Citations per year, relative to A. D. MacGillivray A. D. MacGillivray (= 1×) peers Shenggao Zhou

Countries citing papers authored by A. D. MacGillivray

Since Specialization
Citations

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

Fields of papers citing papers by A. D. MacGillivray

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of A. D. MacGillivray

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

All Works

20 of 20 papers shown
1.
MacGillivray, A. D., et al.. (2000). Perturbation Analysis of a Problem of Carrier's. Studies in Applied Mathematics. 104(4). 293–311. 5 indexed citations
2.
MacGillivray, A. D.. (2000). AN INTRODUCTION TO SINGULAR PERTURBATIONS. Natural Resource Modeling. 13(2). 181–217. 28 indexed citations
3.
MacGillivray, A. D.. (1997). A Method for Incorporating Transcendentally Small Terms into the Method of Matched Asymptotic Expansions. Studies in Applied Mathematics. 99(3). 285–310. 15 indexed citations
4.
MacGillivray, A. D., Bing Liu, & Nicholas D. Kazarinoff. (1994). Asymptotic analysis of the peeling-off point of a French duck. Methods and Applications of Analysis. 1(4). 488–509. 2 indexed citations
5.
MacGillivray, A. D., et al.. (1994). Asymptotic solution of a laminar flow in a porous channel with large suction: A nonlinear turning point problem. Methods and Applications of Analysis. 1(2). 229–248. 22 indexed citations
6.
MacGillivray, A. D., et al.. (1992). Asymptotic behaviour of solutions of a similarity equation for laminar flows in channels with porous walls. IMA Journal of Applied Mathematics. 49(2). 139–162. 26 indexed citations
7.
Hastings, S. P., et al.. (1992). A Boundary Value Problem with Multiple Solutions from the Theory of Laminar Flow. SIAM Journal on Mathematical Analysis. 23(1). 201–208. 22 indexed citations
8.
MacGillivray, A. D.. (1983). On the Leading Term of the Outer Asymptotic Expansion of Van der Pol’s Equation. SIAM Journal on Applied Mathematics. 43(6). 1221–1239. 3 indexed citations
9.
MacGillivray, A. D.. (1983). On the Leading Term of the Inner Asymptotic Expansion of Van der Pol’s Equation. SIAM Journal on Applied Mathematics. 43(3). 594–612. 6 indexed citations
10.
MacGillivray, A. D.. (1979). The Existence of an Overlap Domain for a Singular Perturbation Problem. SIAM Journal on Applied Mathematics. 36(1). 106–114. 4 indexed citations
11.
MacGillivray, A. D.. (1978). On a Model Equation of Lagerstrom. SIAM Journal on Applied Mathematics. 34(4). 804–812. 9 indexed citations
12.
MacGillivray, A. D.. (1972). Upper Bounds on Solutions of the Poisson—Boltzmann Equation near the Limit of Infinite Dilution. The Journal of Chemical Physics. 56(1). 80–83. 23 indexed citations
13.
MacGillivray, A. D.. (1972). Bounds on Solutions of the Poisson-Boltzmann Equation near Infinite Dilution-The Moderately Charged Case. The Journal of Chemical Physics. 57(10). 4075–4078. 8 indexed citations
14.
MacGillivray, A. D.. (1972). Analytic Description of the Condensation Phenomenon Near the Limit of Infinite Dilution Based on the Poisson—Boltzmann Equation. The Journal of Chemical Physics. 56(1). 83–85. 16 indexed citations
15.
MacGillivray, A. D.. (1970). Asymptotic Solutions of the Time-Dependent Nernst–Planck Equations. The Journal of Chemical Physics. 52(6). 3126–3132. 14 indexed citations
16.
MacGillivray, A. D.. (1969). Asymptotic solution of the Poisson-Boltzmann equation for a charged sphere, and implications. Journal of Theoretical Biology. 23(2). 205–217. 12 indexed citations
17.
MacGillivray, A. D., et al.. (1968). Theory of helix-coil transitions based on the non-linear poisson-boltzmann equation. Journal of Theoretical Biology. 19(2). 159–168. 6 indexed citations
18.
MacGillivray, A. D.. (1968). Nernst-Planck Equations and the Electroneutrality and Donnan Equilibrium Assumptions. The Journal of Chemical Physics. 48(7). 2903–2907. 119 indexed citations
19.
MacGillivray, A. D. & Hans F. Weinberger. (1967). A First Course in Partial Differential Equations.. American Mathematical Monthly. 74(1). 108–108. 141 indexed citations
20.
MacGillivray, A. D., et al.. (1966). On an Asymptotic Solution of the Poisson—Boltzmann Equation—The Moderately Charged Cylinder. The Journal of Chemical Physics. 45(6). 2184–2188. 30 indexed citations

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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