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math.NA2025
Quasi-Monte Carlo time-splitting methods for the Schrödinger equation with Gaussian random potential
Zhizhang Wu, Zhiwen Zhang, Xiaofei Zhao
In this paper, we study the Schrödinger equation with a Gaussian random potential (SE-GP) and develop an efficient numerical method to approximate the expectation of physical obser…
math.NA2025
Direct Algorithms for Reconstructing Small Conductivity Inclusions in Subdiffusion
Jiho Hong, Bangti Jin, Zhizhang Wu
The subdiffusion model that involves a Caputo fractional derivative in time is widely used to describe anomalously slow diffusion processes. In this work we aim at recovering the l…