The PowerURV algorithm for computing rank-revealing full factorizations. - Abinand Gopal; Per-Gunnar Martinsson (CoRR, 2018)

Representation of conformal maps by rational functions. - Abinand Gopal; Lloyd N. Trefethen (Numerische Mathematik, 2019)

Solving Laplace Problems with Corner Singularities via Rational Functions. - Abinand Gopal; Lloyd N. Trefethen (SIAM J. Numer. Anal., 2019)

An accelerated, high-order accurate direct solver for the Lippmann-Schwinger equation for acoustic scattering in the plane. - Abinand Gopal; Per-Gunnar Martinsson (Adv. Comput. Math., 2022)

A fast procedure for the construction of quadrature formulas for bandlimited functions. - Abinand Gopal; Vladimir Rokhlin (CoRR, 2023)

Efficient algorithms for computing rank-revealing factorizations on a GPU. - Nathan Heavner; Chao Chen 008; Abinand Gopal; Per-Gunnar Martinsson (Numer. Linear Algebra Appl., 2023)

A highly accurate procedure for computing globally optimal Wannier functions in one-dimensional crystalline insulators. - Abinand Gopal; Hanwen Zhang (CoRR, 2024)

A time-frequency method for acoustic scattering with trapping. - Heather Wilber; Wietse Vaes; Abinand Gopal; Per-Gunnar Martinsson (CoRR, 2025)