- A fast procedure for the construction of quadrature formulas for bandlimited functions. A. Gopal, V. Rokhlin Applied and Computational Harmonic Analysis, 2023
- Efficient algorithms for computing rank-revealing factorizations on a GPU N. Heavner, C. Chao, A. Gopal, P.-G. Martinsson Numerical Linear Algebra with Applications, 2023
- Broadband recursive skeletonization A. Gopal, P.-G. Martinsson Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1: Selected Papers from the ICOSAHOM Conference, Vienna, Austria, 2022
- An accelerated, high-order accurate direct solver for the Lippmann–Schwinger equation for acoustic scattering in the plane A. Gopal, P.-G. Martinsson Advances in Computational Mathematics, 2022
- Solving Laplace problems with corner singularities via rational functions A. Gopal, L. N. Trefethen SIAM Journal of Numerical Analysis, 2019
- New Laplace and Helmholtz solvers A. Gopal, L. N. Trefethen Proceedings of the National Academy of Sciences, 2019
- Representation of conformal maps by rational functions A. Gopal, L. N. Trefethen Numerische Mathematik, 2019
- On the inverse scattering problem for radially-symmetric domains in two dimensions A. Gopal, J. Hoskins, V. Rokhlin Submitted to Inverse Problems.
- Fullwave design of cm-scale cylindrical metasurfaces via fast direct solvers W. Xue, H. Zhang, A. Gopal, V. Rokhlin, O. D. Miller Submitted to Nature Computational Sciences.