3 papers
cs.CE2025
Neural-operator element method: Efficient and scalable finite element method enabled by reusable neural operators
Weihang Ouyang, Yeonjong Shin, Si-Wei Liu +1
The finite element method (FEM) is a well-established numerical method for solving partial differential equations (PDEs). However, its mesh-based nature gives rise to substantial c…
hep-ph2023
Theoretical study on decay and resonance
Si-Wei Liu, Qing-Hua Shen, Ju-Jun Xie
We present a theoretical study of resonance in the decay, where the weak interaction part proceeds through the Cabibbo-favored process $c \to…
math.DG2022
Kähler Finsler manifolds with curvatures bounded from below
Bin Chen, Nan Li, Siwei Liu
We obtain a partial parallelism of the complex structure on Kähler Finsler manifolds. As applications, we prove Synge-Tsukamoto theorem and Bonnet-Myers theorem for positively curv…