34 citations · 40 across the 3 of their papers we have counts for
6 papers
Highly accurate operator factorization methods for the integral fractional Laplacian and its generalization
Yixuan Wu, Yanzhi Zhang
In this paper, we propose a new class of operator factorization methods to discretize the integral fractional Laplacian for . The main advantage of ou…
A universal solution scheme for fractional and classical PDEs
Yixuan Wu, Yanzhi Zhang
We propose a unified meshless method to solve classical and fractional PDE problems with for . The classical () and fractional () Laplac…
Numerical simulations for the energy-supercritical nonlinear wave equation
Jason Murphy, Yanzhi Zhang
We carry out numerical simulations of the defocusing energy-supercritical nonlinear wave equation for a range of spherically-symmetric initial conditions. We demonstrate numericall…
Numerical approximations for the tempered fractional Laplacian: Error analysis and applications
Siwei Duo, Yanzhi Zhang
In this paper, we propose an accurate finite difference method to discretize the -dimensional (for ) tempered integral fractional Laplacian and apply it to study the tem…
Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications
Siwei Duo, Yanzhi Zhang
In this paper, we propose accurate and efficient finite difference methods to discretize the two- and three-dimensional fractional Laplacian () in hype…
Dynamics of vortices in weakly interacting Bose-Einstein condensates
Alexander Klein, Dieter Jaksch, Yanzhi Zhang +1
We study the dynamics of vortices in ideal and weakly interacting Bose-Einstein condensates using a Ritz minimization method to solve the two-dimensional Gross-Pitaevskii equation.…