Robert E. O’Malley

6.8k total citations · 5 hit papers
93 papers, 4.7k citations indexed

About

Robert E. O’Malley is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Robert E. O’Malley has authored 93 papers receiving a total of 4.7k indexed citations (citations by other indexed papers that have themselves been cited), including 67 papers in Numerical Analysis, 24 papers in Computational Theory and Mathematics and 18 papers in Applied Mathematics. Recurrent topics in Robert E. O’Malley's work include Differential Equations and Numerical Methods (63 papers), Numerical methods for differential equations (27 papers) and Advanced Mathematical Modeling in Engineering (17 papers). Robert E. O’Malley is often cited by papers focused on Differential Equations and Numerical Methods (63 papers), Numerical methods for differential equations (27 papers) and Advanced Mathematical Modeling in Engineering (17 papers). Robert E. O’Malley collaborates with scholars based in United States, Venezuela and Australia. Robert E. O’Malley's co-authors include Wolfgang Wasow, P.V. Kokotović, Peddapullaiah Sannuti, Z. Schuss, Michelle Marvier, Daniel F. Doak, Damian P. Thomson, Elaine K. Harding, David Bigger and D. Willett and has published in prestigious journals such as IEEE Transactions on Automatic Control, Physics Today and The American Naturalist.

In The Last Decade

Robert E. O’Malley

90 papers receiving 4.1k citations

Hit Papers

5 papers align trajectories

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.

Introduction to Singular Perturbations

1975 733 citations Robert E. O’Malley et al. profile →
Singular perturbations and order reduction in control theory — An overview

1976 671 citations Robert E. O’Malley et al. profile →
The Statistical Inevitability of Stability‐Diversity Relationships in Community Ecology

1998 633 citations Daniel F. Doak, David Bigger et al. The American Naturalist profile →
Singular Perturbation Methods for Ordinary Differential Equations

1991 410 citations Robert E. O’Malley profile →
Lectures on ordinary differential equations

1970 362 citations Robert McKelvey, John H. Barrett et al. CERN Document Server (European Organization for Nuclear Research) profile →

Peers

Countries citing papers authored by Robert E. O’Malley

Since Specialization

Citations

This map shows the geographic impact of Robert E. O’Malley'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 Robert E. O’Malley with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Robert E. O’Malley more than expected).

Fields of papers citing papers by Robert E. O’Malley

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Robert E. O’Malley. 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 Robert E. O’Malley. The network helps show where Robert E. O’Malley may publish in the future.

Co-authorship network of co-authors of Robert E. O’Malley

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

#	Work	Indexed citations
1	Singular Perturbation Theory: A Viscous Flow out of Göttingen 2010 ·Annual Review of Fluid Mechanics ·Robert E. O’Malley	9
2	Shiga toxin 1 interaction with enterocytes causes apical protein mistargeting through the depletion of intracellular galectin-3 2009 ·Experimental Cell Research ·(unknown), Rakhilya Murtazina, I. V. Malyukova, Chengru Zhu, Edgar C. Boedeker, (unknown), Robert E. O’Malley, Robert N. Cole, Phillip I. Tarr, Karen F. Murray	22
3	Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations 2005 ·Journal of Computational and Applied Mathematics ·Robert E. O’Malley, David B. Williams	15
4	Give Your ODEs a Singular Perturbation! 2000 ·Journal of Mathematical Analysis and Applications ·Robert E. O’Malley	3
5	On the Asymptotic Solution of the Singularly Perturbed Boundary Value Problems Posed by Bohé 2000 ·Journal of Mathematical Analysis and Applications ·Robert E. O’Malley	14
6	Analyzing multiscale phenomena using singular perturbation methods : American Mathematical Society short course, January 5-6, 1998, Baltimore, Maryland 1999 ·American Mathematical Society eBooks ·Jane Cronin, Robert E. O’Malley	1
7	The Statistical Inevitability of Stability‐Diversity Relationships in Community Ecology breakdown → 1998 ·The American Naturalist ·Daniel F. Doak, David Bigger, Elaine K. Harding, Michelle Marvier, Robert E. O’Malley, Damian P. Thomson	633
8	The Asymptotic Solution of a Semiconductor Device Problem Involving Reverse Bias 1990 ·SIAM Journal on Applied Mathematics ·Robert E. O’Malley, Christian Schmeiser	4
9	Singular Perturbations, Order Reduction, and Decoupling of Large Scale Systems. 1978 ·Defense Technical Information Center (DTIC) ·Robert E. O’Malley, (unknown)	3
10	High gain feedback systems as singular singular-perterbation problems 1977 ·IEEE Transactions on Automatic Control ·Robert E. O’Malley	7
11	On the matrix Riccati approach to a singularly perturbed regulator problem 1974 ·Journal of Differential Equations ·Robert E. O’Malley, (unknown)	13
12	Boundary layer methods for certain nonlinear singularly perturbed optimal control problems 1974 ·Journal of Mathematical Analysis and Applications ·Robert E. O’Malley	28
13	On the Asymptotic Solution of a Two-Parameter Boundary Value Problem of Chemical Reactor Theory 1974 ·SIAM Journal on Applied Mathematics ·(unknown), Robert E. O’Malley	49
14	Boundary Layer Methods for Nonlinear Initial Value Problems 1971 ·SIAM Review ·Robert E. O’Malley	41
15	Lectures on ordinary differential equations breakdown → 1970 ·CERN Document Server (European Organization for Nuclear Research) ·Robert McKelvey, John H. Barrett, Lloyd Jackson, Robert E. O’Malley, D. Willett	362
16	Singular perturbations of a boundary value problem for a system of nonlinear differential equations 1970 ·Journal of Differential Equations ·Robert E. O’Malley	15
17	On the asymptotic solution of boundary value problems for nonhomogeneous ordinary differential equations containing a parameter 1969 ·Journal of Mathematical Analysis and Applications ·Robert E. O’Malley	4
18	Topics in singular perturbations 1968 ·Advances in Mathematics ·Robert E. O’Malley	77
19	Singular perturbations of boundary value problems for linear ordinary differential equations involving two parameters 1967 ·Journal of Mathematical Analysis and Applications ·Robert E. O’Malley	31
20	The first boundary value problem for certain linear elliptic differential equations involving two small parameters 1967 ·Archive for Rational Mechanics and Analysis ·Robert E. O’Malley	4

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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