19 citations · 45 across the 18 of their papers we have counts for
5 papers · 2 filters
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 boundary integral method for high-order multiscale mesh generation
Felipe Vico, Leslie Greengard, Michael O'Neil +1
In this work we present an algorithm to construct an infinitely differentiable smooth surface from an input consisting of a (rectilinear) triangulation of a surface of arbitrary sh…
A fast solver for the narrow capture and narrow escape problems in the sphere
Jason Kaye, Leslie Greengard
We present an efficient method to solve the narrow capture and narrow escape problems for the sphere. The narrow capture problem models the equilibrium behavior of a Brownian parti…
High-order discretization of a stable time-domain integral equation for 3D acoustic scattering
Alex H. Barnett, Leslie Greengard, Tom Hagstrom
We develop a high-order, explicit method for acoustic scattering in three space dimensions based on a combined-field time-domain integral equation. The spatial discretization, of N…
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…