Scott N. Armstrong

1.9k total citations
43 papers, 865 citations indexed

About

Scott N. Armstrong is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Scott N. Armstrong has authored 43 papers receiving a total of 865 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Computational Theory and Mathematics, 25 papers in Applied Mathematics and 11 papers in Mathematical Physics. Recurrent topics in Scott N. Armstrong's work include Advanced Mathematical Modeling in Engineering (30 papers), Nonlinear Partial Differential Equations (23 papers) and Advanced Numerical Methods in Computational Mathematics (8 papers). Scott N. Armstrong is often cited by papers focused on Advanced Mathematical Modeling in Engineering (30 papers), Nonlinear Partial Differential Equations (23 papers) and Advanced Numerical Methods in Computational Mathematics (8 papers). Scott N. Armstrong collaborates with scholars based in United States, France and Finland. Scott N. Armstrong's co-authors include Charles K. Smart, Boyan Sirakov, Jean-Christophe Mourrat, Tuomo Kuusi, Panagiotis E. Souganidis, Hung V. Tran, Zhongwei Shen, Pierre Cardaliaguet, Yifeng Yu and Susan Armstrong and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society and Archive for Rational Mechanics and Analysis.

In The Last Decade

Scott N. Armstrong

43 papers receiving 792 citations

Peers

Scott N. Armstrong

CTM

Jean-Christophe Mourrat France

Ovidiu Savin United States

Hans‐Jürgen Schmeißer Germany

Lars Inge Hedberg Sweden

Олли Мартио Finland

Jean‐Michel Rakotoson France

Emmanuel Chasseigne France

Enza Orlandi Italy

Hongjie Dong United States

Philip Brenner Sweden

Jean-Christophe Mourrat France

Scott N. Armstrong

301 ×0.5

CTM

133 ×0.3

235 ×0.9

162 ×1.1

130 ×0.9

Citations per year, relative to Scott N. Armstrong Scott N. Armstrong (= 1×) peers Jean-Christophe Mourrat

Countries citing papers authored by Scott N. Armstrong

Since Specialization

Citations

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

Fields of papers citing papers by Scott N. Armstrong

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Scott N. Armstrong. 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 Scott N. Armstrong. The network helps show where Scott N. Armstrong may publish in the future.

Co-authorship network of co-authors of Scott N. Armstrong

This figure shows the co-authorship network connecting the top 25 collaborators of Scott N. Armstrong. A scholar is included among the top collaborators of Scott N. Armstrong 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 Scott N. Armstrong. Scott N. Armstrong 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

Armstrong, Scott N., et al.. (2024). Variational methods for the kineticFokker–Planck equation. Analysis & PDE. 17(6). 1953–2010. 7 indexed citations

Armstrong, Scott N. & Sylvia Serfaty. (2022). Thermal approximation of the equilibrium measure and obstacle problem. Annales de la faculté des sciences de Toulouse Mathématiques. 31(4). 1085–1110. 8 indexed citations

Armstrong, Scott N., et al.. (2018). An iterative method for elliptic problems with rapidly oscillating coefficients. arXiv (Cornell University). 2 indexed citations

Armstrong, Scott N., et al.. (2017). Quantitative Analysis of Boundary Layers in Periodic Homogenization. Archive for Rational Mechanics and Analysis. 226(2). 695–741. 16 indexed citations

Armstrong, Scott N., et al.. (2016). Elliptic regularity and quantitative homogenization on percolation\n clusters. arXiv (Cornell University). 27 indexed citations

Armstrong, Scott N., Hung V. Tran, & Yifeng Yu. (2016). Stochastic homogenization of nonconvex Hamilton–Jacobi equations in one space dimension. Journal of Differential Equations. 261(5). 2702–2737. 17 indexed citations

Armstrong, Scott N., et al.. (2015). Calderón–Zygmund estimates for stochastic homogenization. Journal of Functional Analysis. 270(1). 312–329. 16 indexed citations

Armstrong, Scott N. & Zhongwei Shen. (2015). Lipschitz Estimates in Almost‐Periodic Homogenization. Communications on Pure and Applied Mathematics. 69(10). 1882–1923. 41 indexed citations

Armstrong, Scott N. & Charles K. Smart. (2013). Stochastic homogenization of fully nonlinear uniformly elliptic equations revisited. Calculus of Variations and Partial Differential Equations. 50(3-4). 967–980. 1 indexed citations

10.

Armstrong, Scott N. & Panagiotis E. Souganidis. (2012). Stochastic homogenization of L∞ variational problems. Advances in Mathematics. 229(6). 3508–3535. 2 indexed citations

11.

Armstrong, Scott N. & Panagiotis E. Souganidis. (2011). Stochastic homogenization of Hamilton–Jacobi and degenerate Bellman equations in unbounded environments. Journal de Mathématiques Pures et Appliquées. 97(5). 460–504. 41 indexed citations

12.

Armstrong, Scott N., Charles K. Smart, & Boyan Sirakov. (2011). Fundamental solutions of homogeneous fully nonlinear elliptic equations. Communications on Pure and Applied Mathematics. 64(6). 737–777. 29 indexed citations

13.

Armstrong, Scott N., et al.. (2010). An infinity Laplace equation with gradient term and mixed boundary conditions. Proceedings of the American Mathematical Society. 139(5). 1763–1776. 14 indexed citations

14.

Armstrong, Scott N.. (2009). The Dirichlet problem for the Bellman equation at resonance. Journal of Differential Equations. 247(3). 931–955. 8 indexed citations

15.

Armstrong, Scott N. & Charles K. Smart. (2009). An easy proof of Jensen’s theorem on the uniqueness of infinity harmonic functions. Calculus of Variations and Partial Differential Equations. 37(3-4). 381–384. 65 indexed citations

16.

Armstrong, Scott N.. (2008). Principal eigenvalues and an anti-maximum principle for homogeneous fully nonlinear elliptic equations. Journal of Differential Equations. 246(7). 2958–2987. 37 indexed citations

17.

Armstrong, Scott N. & Christopher J. Hillar. (2005). A Degree Theoretic Approach to the Solvability of Symmetric Word Equations in Positive Definite Letters. arXiv (Cornell University). 2 indexed citations

18.

Armstrong, Scott N., Ken Dykema, Ruy Exel, & Hanfeng Li. (2004). On embeddings of full amalgamated free product C*–algebras. Proceedings of the American Mathematical Society. 132(7). 2019–2030. 9 indexed citations

19.

Armstrong, Susan & Scott N. Armstrong. (1996). The Conductor as Transformational Leader. Music Educators Journal. 82(6). 22–25. 11 indexed citations

20.

Armstrong, Scott N., et al.. (1979). Student Teams Achievement Divisions (STAD) in a Twelfth Grade Classroom: Effect on Student Achievement and Attitude. The Journal of Social Studies Research. 22(1). 3–6. 12 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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