2 papers
math.NA2026
Novel physical property preserved methods for stochastic Schrödinger--KdV equation
Ziheng Chen, Jialin Hong, Liying Sun
In this work, we study the stochastic Schrödinger--KdV equation driven by additive noise from both analytical and numerical viewpoints. We first establish the evolution laws for t…
math.NA2025
Superiority Of Symplectic Methods For Stochastic Hamiltonian System Via Asymptotic Error Distribution
Jialin Hong, Ge Liang, Derui Sheng
The superiority of symplectic methods for stochastic Hamiltonian systems has been widely recognized, yet the probabilistic mechanism behind this superiority remains incompletely un…