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math.NA2024
On the mean-field limit of the Cucker-Smale model with Random Batch Method
Yuelin Wang, Yiwen Lin
In this work, we focus on the mean-field limit of the Random Batch Method (RBM) for the Cucker-Smale model. Different from the classical mean-field limit analysis, the chaos in thi…
math.NA2024
On a class of multi-fidelity methods for the semiclassical Schrödinger equation with uncertainties
Yiwen Lin, Liu Liu
In this paper, we study the semiclassical Schrödinger equation with random parameters and develop several robust multi-fidelity methods. We employ the time-splitting Fourier pseudo…