199 citations · 1.3k across the 122 of their papers we have counts for
6 papers · 1 filter
A parallel directional Fast Multipole Method
Austin R. Benson, Jack Poulson, Kenneth Tran +2
This paper introduces a parallel directional fast multipole method (FMM) for solving N-body problems with highly oscillatory kernels, with a focus on the Helmholtz kernel in three…
Pole expansion for solving a type of parametrized linear systems in electronic structure calculations
Anil Damle, Lin Lin, Lexing Ying
We present a new method for solving parametrized linear systems. Under certain assumptions on the parametrization, solutions to the linear systems for all parameters can be accurat…
Synchrosqueezed Curvelet Transform for 2D Mode Decomposition
Haizhao Yang, Lexing Ying
This paper introduces the synchrosqueezed curvelet transform as an optimal tool for 2D mode decomposition of wavefronts or banded wave-like components. The synchrosqueezed curvelet…
Hierarchical interpolative factorization for elliptic operators: differential equations
Kenneth L. Ho, Lexing Ying
This paper introduces the hierarchical interpolative factorization for elliptic partial differential equations (HIF-DE) in two (2D) and three dimensions (3D). This factorization ta…
Hierarchical interpolative factorization for elliptic operators: integral equations
Kenneth L. Ho, Lexing Ying
This paper introduces the hierarchical interpolative factorization for integral equations (HIF-IE) associated with elliptic problems in two and three dimensions. This factorization…
A parallel butterfly algorithm
Jack Poulson, Laurent Demanet, Nicholas Maxwell +1
The butterfly algorithm is a fast algorithm which approximately evaluates a discrete analogue of the integral transform \int K(x,y) g(y) dy at large numbers of target points when t…