36 citations · 85 across the 6 of their papers we have counts for
6 papers
On the Approximation of Local Expansions of Laplace Potentials by the Fast Multipole Method
Matt Wala, Andreas Klöckner
In this paper, we present a generalization of the classical error bounds of Greengard-Rokhlin for the Fast Multipole Method (FMM) for Laplace potentials in three dimensions, extend…
Optimization of Fast Algorithms for Global Quadrature by Expansion Using Target-Specific Expansions
Matt Wala, Andreas Klöckner
We develop an algorithm for the asymptotically fast evaluation of layer potentials close to and on the source geometry, combining Geometric Global Accelerated QBX (`GIGAQBX') and t…
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…
A Fast Algorithm for Quadrature by Expansion in Three Dimensions
Matt Wala, Andreas Klöckner
This paper presents an accelerated quadrature scheme for the evaluation of layer potentials in three dimensions. Our scheme combines a generic, high order quadrature method for sin…
A Fast Algorithm with Error Bounds for Quadrature by Expansion
Matt Wala, Andreas Klöckner
Quadrature by Expansion (QBX) is a quadrature method for approximating the value of the singular integrals encountered in the evaluation of layer potentials. It exploits the smooth…
Conformal Mapping via a Density Correspondence for the Double-Layer Potential
Matt Wala, Andreas Klöckner
We derive a representation formula for harmonic polynomials and Laurent polynomials in terms of densities of the double-layer potential on bounded piecewise smooth and simply conne…