3 papers
math.NA2026
Discrete Mean Field Games on Finite Graphs as Initial Value Optimization
Yaxin Feng, Yang Xiang, Haomin Zhou
In this paper, we propose an initial value fomulation of the discrete mean field games on finite graphs (Graph MFG), and design a neural network based approach to solve it. Graph M…
math.NA2025
Deep Tangent Bundle (DTB) method: a Deep Neural Network approach to compute solutions of PDES
Hao Wu, Haomin Zhou
We develop a numerical framework, the Deep Tangent Bundle (DTB) method, that is suitable for computing solutions of evolutionary partial differential equations (PDEs) in high dimen…
math.NA2025
A parameterized Wasserstein Hamiltonian flow approach for solving the Schrödinger equation
Hao Wu, Shu Liu, Xiaojing Ye +1
In this paper, we propose a new method to compute the solution of time-dependent Schrödinger equation (TDSE). Using push-forward maps and Wasserstein Hamiltonian flow, we reformula…