most citedA polytopal discrete de Rham scheme for the exterior calculus Einstein's equations

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math.NA2025

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…

math.NA2024

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…