Panagiotis E. Souganidis

Computational Theory and Mathematics · 2000–2017

A researcher in the Science corpus: 17 papers; trusts 45 researchers and is trusted by 36 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 49 citations into it; #751 of 12,182 by trust here, #1,500 by citations
• Finance — 38 citations into it; #3,402 of 10,518 by trust here, #5,523 by citations
• Computational Mechanics — 36 citations into it; #2,309 of 10,001 by trust here, #4,039 by citations
• Applied Mathematics — 32 citations into it; #632 of 7,620 by trust here, #777 by citations
• Statistical and Nonlinear Physics — 21 citations into it; #2,496 of 10,127 by trust here, #5,200 by citations
• Mathematical Physics — 14 citations into it; #7,332 of 8,562 by trust here, #5,794 by citations
• Control and Systems Engineering — 10 citations into it; #1,539 of 8,257 by trust here, #3,516 by citations
• Modeling and Simulation — 7 citations into it; #213 of 2,105 by trust here, #473 by citations

Whom Panagiotis E. Souganidis trusts overall

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

1. Pierre-Louis Lions
2. Fraydoun Rezakhanlou
3. Luis Caffarelli
4. Hitoshi Ishii
5. M. Crandall
6. Elena Kosygina
7. Arnaud Debussche
8. Russell W. Schwab
9. Guy Barles
10. Benoit Perthame

Who trusts Panagiotis E. Souganidis overall

1. S. Armstrong
2. Pierre-Louis Lions
3. Björn Engquist
4. Luis Caffarelli
5. Russell W. Schwab
6. Bruno Ziliotto
7. Konstantinos Spiliopoulos
8. Benjamin Gess
9. Henri Berestycki
10. Elena Kosygina

Papers from Panagiotis E. Souganidis's perspective

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

1. Correctors for the homogenization of Hamilton‐Jacobi equations in the stationary ergodic setting
2. Kinetic formulation of conservation laws
3. Stochastic scalar conservation laws
4. Scalar conservation laws with stochastic forcing
5. Convergence to steady states or periodic solutions in a class of Hamilton–Jacobi equations
6. Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications
7. An introduction to homogenization
8. On the rate of convergence in homogenization of Hamilton-Jacobi equations
9. Degenerate parabolic stochastic partial differential equations
10. Homogenization for¶Stochastic Hamilton-Jacobi Equations

Their papers

• Correctors for the homogenization of Hamilton‐Jacobi equations in the stationary ergodic setting (2003) — 140 citations
• Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications (2005) — 110 citations
• Homogenization of “Viscous” Hamilton–Jacobi Equations in Stationary Ergodic Media (2005) — 143 citations
• Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media (2005) — 154 citations
• Rates of convergence for the homogenization of fully nonlinear uniformly elliptic pde in random media (2010) — 108 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
• Viscosity solutions for junctions: well posedness and stability (2016) — 64 citations
• Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations (2012) — 61 citations
• Well posedness for multi-dimensional junction problems with Kirchoff-type conditions (2017) — 61 citations
• Stochastic non-isotropic degenerate parabolic–hyperbolic equations (2016) — 50 citations
• Long‐Time Behavior, Invariant Measures, and Regularizing Effects for Stochastic Scalar Conservation Laws (2014) — 81 citations
• Scalar conservation laws with rough (stochastic) fluxes (2013) — 82 citations
• Asymptotic and numerical homogenization (2008) — 117 citations
• A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs (2008) — 115 citations
• Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations (2000) — 81 citations
• Fully nonlinear stochastic PDE with semilinear stochastic dependence (2000) — 74 citations