6 papers
Periodic Fast Multipole Method
Ruqi Pei, Travis Askham, Leslie Greengard +1
A new scheme is presented for imposing periodic boundary conditions on unit cells with arbitrary source distributions. We restrict our attention here to the Poisson, modified Helmh…
On time-domain NRBC for Maxwell's equations and its application in accurate simulation of electromagnetic invisibility cloaks
Bo Wang, Zhiguo Yang, Lilian Wang +1
In this paper, we present analytic formulas of the temporal convolution kernel functions involved in the time-domain non-reflecting boundary condition (NRBC) for the electromagneti…
A fast Gauss transform in one dimension using sum-of-exponentials approximations
Shidong Jiang
We present a fast Gauss transform in one dimension using nearly optimal sum-of-exponentials approximations of the Gaussian kernel. For up to about ten-digit accuracy, the approxima…
Evaluation of Abramowitz functions in the right half of the complex plane
Zydrunas Gimbutas, Shidong Jiang, Li-Shi Luo
A numerical scheme is developed for the evaluation of Abramowitz functions in the right half of the complex plane. For , the scheme utilizes series expan…
An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem
Xiaoyu Wei, Shidong Jiang, Andreas Kloeckner +1
We present an integral equation approach to solving the Cahn-Hilliard equation equipped with boundary conditions that model solid surfaces with prescribed Young's angles. The discr…
Multiscale Hydrophobic Lipid Dynamics Simulated by Efficient Integral Equation Methods
Szu-Pei P. Fu, Rolf J. Ryham, Andreas Klöckner +3
In this paper, we first develop a mathematical model for long-range, hydrophobic attraction between amphiphilic particles. The non-pairwise interactions follow from the first varia…