109 citations · 522 across the 51 of their papers we have counts for
4 papers · 1 filter
Adaptive finite difference methods for nonlinear elliptic and parabolic partial differential equations with free boundaries
Adam M. Oberman, Ian Zwiers
Monotone finite difference methods provide stable convergent discretizations of a class of degenerate elliptic and parabolic Partial Differential Equations (PDEs). These methods ar…
Numerical methods for matching for teams and Wasserstein barycenters
Guillaume Carlier, Adam Oberman, Edouard Oudet
Equilibrium multi-population matching (matching for teams) is a problem from mathematical economics which is related to multi-marginal optimal transport. A special but important ca…
Filtered schemes for Hamilton-Jacobi equations: a simple construction of convergent accurate difference schemes
Adam M. Oberman, Tiago Salvador
We build a simple and general class of finite difference schemes for first order Hamilton-Jacobi (HJ) Partial Differential Equations. These filtered schemes are convergent to the u…
A multigrid scheme for 3D Monge-Ampère equations
Jun Liu, Brittany D. Froese, Adam M. Oberman +1
The elliptic Monge-Ampère equation is a fully nonlinear partial differential equation which has been the focus of increasing attention from the scientific computing community. Fast…