1 citations · 3 across the 6 of their papers we have counts for
6 papers
A fast direct solver based neural network for solving PDEs
Jashwanth Reddy Kadaru, Vaishnavi Gujjula
The matrices arising from large scale -body problems can be efficiently represented using hierarchical matrices, whose key idea is that the admissible off-diagonal sub-matrices…
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…
Algebraic Inverse Fast Multipole Method: A fast direct solver that is better than HODLR based fast direct solver
Vaishnavi Gujjula, Sivaram Ambikasaran
This article presents a fast direct solver, termed Algebraic Inverse Fast Multipole Method (from now on abbreviated as AIFMM), for linear systems arising out of -body problems.…
HODLR2D: A new class of Hierarchical matrices
V A Kandappan, Vaishnavi Gujjula, Sivaram Ambikasaran
This article introduces HODLR2D, a new hierarchical low-rank representation for a class of dense matrices arising out of body problems in two dimensions. Using this new hierarc…
A new Directional Algebraic Fast Multipole Method based iterative solver for the Lippmann-Schwinger equation accelerated with HODLR preconditioner
Vaishnavi Gujjula, Sivaram Ambikasaran
We present a fast iterative solver for scattering problems in 2D, where a penetrable object with compact support is considered. By representing the scattered field as a volume pote…
A new Nested Cross Approximation
Vaishnavi Gujjula, Sivaram Ambikasaran
In this article, we present a new Nested Cross Approximation (NNCA) for constructing H2 matrices. It differs from the existing NCAs~\cite{bebendorf2012constructing, zhao2019fast} i…