3 citations · 6 across the 16 of their papers we have counts for
4 papers · 1 filter
Gradient ascent method for fully nonlinear parabolic differential equations with convex nonlinearity
Hung Duong, Arash Fahim
We introduce a generic numerical schemes for fully nonlinear parabolic PDEs on the full domain, where the nonlinearity is convex on the Hessian of the solution. The main idea behin…
Strong Convergence to the homogenized limit of parabolic equations with random coefficients II
Joseph G. Conlon, Arash Fahim
This paper is concerned with the study of solutions to discrete parabolic equations in divergence form with random coefficients, and their convergence to solutions of a homogenized…
Strong Convergence to the homogenized limit of elliptic equations with random coefficients II
Joseph G. Conlon, Arash Fahim
Consider a discrete uniformly elliptic divergence form equation on the dimensional lattice with random coefficients. In [3] rate of convergence results in homogenization…
Strong Convergence to the Homogenized Limit of Parabolic Equations with Random Coefficients
Joseph G. Conlon, Arash Fahim
This paper is concerned with the study of solutions to discrete parabolic equations in divergence form with random coefficients, and their convergence to solutions of a homogenized…