27 citations · 28 across the 4 of their papers we have counts for
4 papers
A hybrid interpolation ACA accelerated method for parabolic boundary integral operators
Sivaram Ambikasaran, Ritesh Khan, Johannes Tausch +1
We consider piecewise polynomial discontinuous Galerkin discretizations of boundary integral reformulations of the heat equation. The resulting linear systems are dense and block-l…
HODLR3D: Hierarchical matrices for -body problems in three dimensions
V A Kandappan, Vaishnavi Gujjula, Sivaram Ambikasaran
This article introduces HODLR3D, a class of hierarchical matrices arising out of -body problems in three dimensions. HODLR3D relies on the fact that certain off-diagonal matrix…
The Inverse Fast Multipole Method
Sivaram Ambikasaran, Eric Darve
This article introduces a new fast direct solver for linear systems arising out of wide range of applications, integral equations, multivariate statistics, radial basis interpolati…
A fast direct solver for high frequency scattering from a large cavity in two dimensions
Jun Lai, Sivaram Ambikasaran, Leslie F. Greengard
We present a fast direct solver for the simulation of electromagnetic scattering from an arbitrarily-shaped, large, empty cavity embedded in an infinite perfectly conducting half s…