2 citations · 2 across the 1 of their papers we have counts for
5 papers
A well-conditioned collocation method using pseudospectral integration matrix
Li-Lian Wang, Michael Daniel Samson, Xiaodan Zhao
In this paper, a well-conditioned collocation method is constructed for solving general -th order linear differential equations with various types of boundary conditions. Based…
Fast and Accurate Computation of Exact Nonreflecting Boundary Condition for Maxwell's Equations
Xiaodan Zhao, Li-Lian Wang
We report in this paper a fast and accurate algorithm for computing the exact spherical nonreflecting boundary condition (NRBC) for time-dependent Maxwell's equations. It is essent…
Sharp error bounds for Jacobi expansions and Gengenbauer-Gauss quadrature of analytic functions
Xiaodan Zhao, Li-Lian Wang, Ziqing Xie
This paper provides a rigorous and delicate analysis for exponential decay of Jacobi polynomial expansions of analytic functions associated with the Bernstein ellipse. Using an arg…
On Exponential Convergence of Gegenbauer Interpolation and Spectral Differentiation
Ziqing Xie, Li-Lian Wang, Xiaodan Zhao
This paper is devoted to a rigorous analysis of exponential convergence of polynomial interpolation and spectral differentiation based on the Gegenbauer-Gauss and Gegenbauer-Gauss-…
Fast and Accurate Computation of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions
Li-Lian Wang, Bo Wang, Xiaodan Zhao
This paper is concerned with fast and accurate computation of exterior wave equations truncated via exact circular or spherical nonreflecting boundary conditions (NRBCs, which are…