4 citations · 5 across the 2 of their papers we have counts for
3 papers
math.NA2020★ 1 cited
An accelerated, high-order accurate direct solver for the Lippmann-Schwinger equation for acoustic scattering in the plane
Abinand Gopal, Per-Gunnar Martinsson
An efficient direct solver for solving the Lippmann-Schwinger integral equation modeling acoustic scattering in the plane is presented. For a problem with degrees of freedom, t…
math.NA2019
Solving Laplace problems with corner singularities via rational functions
Abinand Gopal, Lloyd N. Trefethen
A new method is introduced for solving Laplace problems on 2D regions with corners by approximation of boundary data by the real part of a rational function with fixed poles expone…
math.NA2018★ 4 cited
The PowerURV algorithm for computing rank-revealing full factorizations
Abinand Gopal, Per-Gunnar Martinsson
Many applications in scientific computing and data science require the computation of a rank-revealing factorization of a large matrix. In many of these instances the classical alg…