S. Armstrong

Computational Theory and Mathematics · Grundlehren der mathematischen Wissenschaften · 2008–2017

A researcher in the Science corpus: 19 papers; trusts 60 researchers and is trusted by 18 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 123 citations into it; #880 of 12,182 by trust here, #1,529 by citations
• Applied Mathematics — 112 citations into it; #858 of 7,620 by trust here, #1,028 by citations
• Mechanics of Materials — 35 citations into it; #2,430 of 6,291 by trust here, #4,968 by citations
• Mathematical Physics — 33 citations into it; #3,370 of 8,562 by trust here, #4,022 by citations
• Computational Mechanics — 18 citations into it; #3,406 of 10,001 by trust here, #6,582 by citations
• Statistical and Nonlinear Physics — 18 citations into it
• Modeling and Simulation — 14 citations into it; #838 of 2,105 by trust here, #1,057 by citations
• Numerical Analysis — 11 citations into it

Whom S. Armstrong trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Antoine Gloria
2. Felix Otto
3. Sourav Chatterjee
4. Panagiotis E. Souganidis
5. Luis Caffarelli
6. M. Crandall
7. Pierre-Louis Lions
8. Fraydoun Rezakhanlou
9. Jean-Christophe Mourrat
10. Charles K. Smart

Who trusts S. Armstrong overall

1. Zhongwei Shen
2. Antoine Gloria
3. Jean-Christophe Mourrat
4. Tuomo Kuusi
5. Felix Otto
6. Stefan Neukamm
7. Charles K. Smart
8. Bruno Ziliotto
9. Julian Fischer
10. Alexandre Bordas

Papers from S. Armstrong's perspective

Ordered by how strongly the researchers S. Armstrong trusts endorse each paper. Same corpus, a different order for every researcher.

1. An optimal variance estimate in stochastic homogenization of discrete elliptic equations
2. Correctors for the homogenization of Hamilton‐Jacobi equations in the stationary ergodic setting
3. User’s guide to viscosity solutions of second order partial differential equations
4. Variance decay for functionals of the environment viewed by the particle
5. Quantitative results on the corrector equation in stochastic homogenization
6. Normal approximation for a random elliptic equation
7. Quantitative stochastic homogenization of convex integral functionals
8. Approximations of effective coefficients in stochastic homogenization
9. Mesoscopic Higher Regularity and Subadditivity in Elliptic Homogenization
10. An introduction to homogenization

Their papers

• Quantitative stochastic homogenization of convex integral functionals (2014) — 242 citations
• Lipschitz Regularity for Elliptic Equations with Random Coefficients (2014) — 128 citations
• The additive structure of elliptic homogenization (2016) — 122 citations
• Mesoscopic Higher Regularity and Subadditivity in Elliptic Homogenization (2015) — 87 citations
• Quantitative Stochastic Homogenization and Large-Scale Regularity (2017) — 244 citations
• Quantitative Stochastic Homogenization of Elliptic Equations in Nondivergence Form (2013) — 57 citations
• Lipschitz Estimates in Almost‐Periodic Homogenization (2014) — 96 citations
• Principal eigenvalues and an anti-maximum principle for homogeneous fully nonlinear elliptic equations (2008) — 72 citations
• Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments (2011) — 72 citations
• Stochastic Homogenization of Level-Set Convex Hamilton–Jacobi Equations (2012) — 70 citations
• Partial regularity of solutions of fully nonlinear, uniformly elliptic equations (2011) — 60 citations
• Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle (2010) — 153 citations
• A finite difference approach to the infinity Laplace equation and tug-of-war games (2009) — 78 citations
• Stochastic homogenization of a nonconvex Hamilton–Jacobi equation (2013) — 56 citations
• Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations (2012) — 61 citations
• Quantitative stochastic homogenization and regularity theory of parabolic equations (2017) — 49 citations
• Viscosity solutions of general viscous Hamilton–Jacobi equations (2013) — 63 citations
• Fundamental solutions of homogeneous fully nonlinear elliptic equations (2009) — 55 citations
• An easy proof of Jensen’s theorem on the uniqueness of infinity harmonic functions (2009) — 136 citations