2 papers
math.NA2025
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 pseud…
math.NA2025
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…