1 citations · 1 across the 3 of their papers we have counts for
4 papers
Inverse problems for infinite-dimensional transport PDEs on Wasserstein space
Hongyu Liu, Jianliang Qian, Shen Zhang
We develop a foundational framework for inverse problems governed by evolutionary partial differential equations (PDEs) on the Wasserstein space of probability measures. While the…
Fast Operator-Splitting Methods for Nonlinear Elliptic Equations
Jingyu Yang, Shingyu Leung, Jianliang Qian +1
Nonlinear elliptic problems arise in many fields, including plasma physics, astrophysics, and optimal transport. In this article, we propose a novel operator-splitting/finite eleme…
A polytopal discrete de Rham scheme for the exterior calculus Einstein's equations
Todd A. Oliynyk, Jia Jia Qian
In this work, based on the decomposition in [24, 33], we present a fully exterior calculus breakdown of spacetime and Einstein's equations. Links to the orthonormal frame app…
Hadamard integrators for wave equations in time and frequency domain: Eulerian formulations via butterfly algorithms
Yuxiao Wei, Jin Cheng, Shingyu Leung +2
Starting from the Kirchhoff-Huygens representation and Duhamel's principle of time-domain wave equations, we propose novel butterfly-compressed Hadamard integrators for self-adjoin…