58 citations · 132 across the 9 of their papers we have counts for
5 papers · 1 filter
Performance evaluations on the parallel CHAracteristic-Spectral-Mixed (CHASM) scheme
Yunfeng Xiong, Yong Zhang, Sihong Shao
Performance evaluations on the deterministic algorithms for 6-D problems are rarely found in literatures except some recent advances in the Vlasov and Boltzmann community [Dimarco…
A unified structure preserving scheme for a multi-species model with a gradient flow structure and nonlocal interactions via singular kernels
Yong Zhang, Yu Zhao, Zhennan Zhou
In this paper, we consider a nonlinear and nonlocal parabolic model for multi-species ionic fluids and introduce a semi-implicit finite volume scheme, which is second order accurat…
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations
Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas +1
In this paper, we are concerned with the construction and analysis of a new class of methods obtained as double jump compositions with complex coefficients and projection on the re…
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions
Xavier Antoine, Qinglin Tang, Yong Zhang
In this paper, we propose some efficient and robust numerical methods to compute the ground states and dynamics of Fractional Schrödinger Equation (FSE) with a rotation term and no…
Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT
Weizhu Bao, Shidong Jiang, Qinglin Tang +1
We present efficient and accurate numerical methods for computing the ground state and dynamics of the nonlinear Schrödinger equation (NLSE) with nonlocal interactions based on a f…