2 papers
math.NA2025
A model reduction method for solving the eigenvalue problem of semiclassical random Schrödinger operators
Panchi Li, Zhiwen Zhang
In this paper, we compute the eigenvalue problem (EVP) for the semiclassical random Schrödinger operators, where the random potentials are parameterized by an infinite series of ra…
math.NA2025
Efficient finite element methods for semiclassical nonlinear Schrödinger equations with random potentials
Panchi Li, Zhiwen Zhang
In this paper, we propose two time-splitting finite element methods to solve the semiclassical nonlinear Schrödinger equation (NLSE) with random potentials. We then introduce the m…