32 citations · 147 across the 27 of their papers we have counts for
3 papers · 1 filter
Galerkin approximations for the optimal control of nonlinear delay differential equations
Mickaël D. Chekroun, Axel Kröner, Honghu Liu
Optimal control problems of nonlinear delay differential equations (DDEs) are considered for which we propose a general Galerkin approximation scheme built from Koornwinder polynom…
Galerkin approximations of nonlinear optimal control problems in Hilbert spaces
Mickaël D. Chekroun, Axel Kröner, Honghu Liu
Nonlinear optimal control problems in Hilbert spaces are considered for which we derive approximation theorems for Galerkin approximations. Approximation theorems are available in…
Regularized Reduced Order Models for a Stochastic Burgers Equation
Traian Iliescu, Honghu Liu, Xuping Xie
In this paper, we study the numerical stability of reduced order models for convection-dominated stochastic systems in a relatively simple setting: a stochastic Burgers equation wi…