4 citations · 6 across the 7 of their papers we have counts for
5 papers · 1 filter
Fast integral equation methods for linear and semilinear heat equations in moving domains
Jun Wang, Leslie Greengard, Shidong Jiang +1
We present a family of integral equation-based solvers for the linear or semilinear heat equation in complicated moving (or stationary) geometries. This approach has significant ad…
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…
Explicit unconditionally stable methods for the heat equation via potential theory
Alex H. Barnett, Charles L. Epstein, Leslie Greengard +2
We study the stability properties of explicit marching schemes for second-kind Volterra integral equations that arise when solving boundary value problems for the heat equation by…