12 citations · 12 across the 5 of their papers we have counts for
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Quantum simulation of Helmholtz equations via Schr{ö}dingerization
Anjiao Gu, Shi Jin, Chuwen Ma
The Helmholtz equation is a prototypical model for time-harmonic wave propagation. Numerical solutions become increasingly challenging as the wave number grows, due to the equa…
Asymptotic-preserving particle-in-cell method for the magnetized Vlasov--Poisson--Fokker--Planck equation
Anjiao Gu, Xiaojiang Zhang
In this work, we develop and rigorously analyze a new class of particle methods for the magnetized Vlasov--Poisson--Fokker--Planck system. The proposed approach addresses two funda…
Quantum simulation of a class of highly-oscillatory transport equations via Schrödingerisation
Anjiao Gu, Shi Jin
In this paper, we present quantum algorithms for a class of highly-oscillatory transport equations, which arise in semiclassical computation of surface hopping problems and other r…
Asymptotically stable Particle-in-Cell methods for the magnetized Vlasov--Poisson equations in orthogonal curvilinear coordinates
Anjiao Gu, Yajuan Sun
In high-temperature plasma physics, a strong magnetic field is usually used to confine charged particles. Therefore, for studying the classical mathematical models of the physical…
Convergence of Hamiltonian Particle methods for Vlasov--Poisson equations with a nonhomogeneous magnetic field
Anjiao Gu, Yajuan Sun
In high-temperature plasma physics, a strong magnetic field is usually used to confine charged particles. Therefore, for studying the classical mathematical models of the physical…
Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations
Anjiao Gu, Yang He, Yajuan Sun
In this paper, Particle-in-Cell algorithms for the Vlasov-Poisson system are presented based on its Poisson bracket structure. The Poisson equation is solved by finite element meth…