3 papers
math.OC2026
An efficient second-order cone programming approach for dynamic optimal transport on staggered grid discretization
Liang Chen, Youyicun Lin, Yuxuan Zhou
This paper proposes an efficient numerical method based on second-order cone programming (SOCP) to solve dynamic optimal transport (DOT) problems with quadratic cost on staggered g…
math.NA2025
A Convergent Inexact Abedin-Kitagawa Iteration Method for Monge-Ampère Eigenvalue Problems
Liang Chen, Youyicun Lin, Junqi Yang +1
This paper proposes an inexact Aleksandrov-solution-based iteration method, formulated by adapting the convergent Rayleigh inverse iterative scheme introduced by Abedin and Kitagaw…
math.OC2025
An Efficient Augmented Lagrangian Framework for Dynamic Optimal Transport on Surfaces Based on Second-Order Cone Programming Reformulation
Liang Chen, Youyicun Lin, Yuxuan Zhou
This paper proposes an efficient numerical optimization framework for solving dynamic optimal transport (DOT) problems on surfaces, computing both the quadratic Wasserstein distanc…