1 citations · 2 across the 9 of their papers we have counts for
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Inverse scattering for three-dimensional random obstacles with multi-frequency data
Zhiqi Sun, Yiwen Lin
In many practical scenarios the shapes of scatterers exhibit uncertain geometric variations arising from diverse physical or environmental factors. For inverse scattering problems…
Inverse acoustic scattering for random obstacles with multi-frequency data
Zhiqi Sun, Xiang Xu, Yiwen Lin
We study an inverse random obstacle scattering problems in where the scatterer is formulated by a Gaussian process defined on the angular parameter domain. Equipped…
Efficient numerical methods for the uncertain Boltzmann equation based on a hybrid solver
Yiwen Lin, Liu Liu
In this work, we propose and compare several approaches to solve the Boltzmann equation with uncertain parameters, including multi-level Monte Carlo and multi-fidelity methods that…
An inverse random diffraction grating problem for the Helmholtz equation
Zhiqi Sun, Yiwen Lin
This paper investigates the inverse scattering problem of time-harmonic plane waves incident on a perfectly reflecting random periodic structure. To simulate random perturbations a…
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…
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…