Publications

Academic articles

• 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

Submitted manuscripts

• 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.

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