41 citations · 53 across the 8 of their papers we have counts for
10 papers
A highly accurate procedure for computing globally optimal Wannier functions in one-dimensional crystalline insulators
Abinand Gopal, Hanwen Zhang
A standard task in solid state physics and quantum chemistry is the computation of localized molecular orbitals known as Wannier functions. In this manuscript, we propose a new pro…
Fullwave design of cm-scale cylindrical metasurfaces via fast direct solvers
Wenjin Xue, Hanwen Zhang, Abinand Gopal +2
Large-scale metasurfaces promise nanophotonic performance improvements to macroscopic optics functionality, for applications from imaging to analog computing. Yet the size scale mi…
A fast procedure for the construction of quadrature formulas for bandlimited functions
Abinand Gopal, Vladimir Rokhlin
We introduce an efficient scheme for the construction of quadrature rules for bandlimited functions. While the scheme is predominantly based on well-known facts about prolate spher…
Efficient algorithms for computing rank-revealing factorizations on a GPU
Nathan Heavner, Chao Chen, Abinand Gopal +1
Standard rank-revealing factorizations such as the singular value decomposition and column pivoted QR factorization are challenging to implement efficiently on a GPU. A major diffi…
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…
On the inverse scattering problem for radially-symmetric domains in two dimensions
Abinand Gopal, Jeremy Hoskins, Vladimir Rokhlin
In the present paper we describe a method for solving inverse problems for the Helmholtz equation in radially-symmetric domains given multi-frequency data. Our approach is based on…