2 papers
math.OC2026
Tropical low-rank approximation and application to optimal control of N-body systems
Marianne Akian, Stephane Gaubert, Shanqing Liu +1
We study the approximation of the value function of deterministic optimal control problems with fixed initial state, motivated by \(N\)-body systems. In this setting, the action fu…
math.OC2024
Convergence and Error Estimates of A Semi-Lagrangian scheme for the Minimum Time Problem
Marianne Akian, Shanqing Liu
We consider a semi-Lagrangian scheme for solving the minimum time problem, with a given target, and the associated eikonal type equation. We first use a discrete time deterministic…