Fast and accurate numerical methods for solving elliptic difference equations defined on lattices. - Adrianna Gillman; Per-Gunnar Martinsson (J. Comput. Phys., 2010)

A fast direct solver for quasi-periodic scattering problems. - Adrianna Gillman; Alex H. Barnett (J. Comput. Phys., 2013)

An O(N) algorithm for constructing the solution operator to 2D elliptic boundary value problems in the absence of body loads. - Adrianna Gillman; Per-Gunnar Martinsson (Adv. Comput. Math., 2014)

A fast solver for Poisson problems on infinite regular lattices. - Adrianna Gillman; Per-Gunnar Martinsson (J. Comput. Appl. Math., 2014)

A simplified technique for the efficient and highly accurate discretization of boundary integral equations in 2D on domains with corners. - Adrianna Gillman; Sijia Hao; Per-Gunnar Martinsson (J. Comput. Phys., 2014)

A Direct Solver with O(N) Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method. - Adrianna Gillman; Per-Gunnar Martinsson (SIAM J. Sci. Comput., 2014)

A Fast Algorithm for Simulating Multiphase Flows Through Periodic Geometries of Arbitrary Shape. - Gary R. Marple; Alex H. Barnett; Adrianna Gillman; Shravan K. Veerapaneni (SIAM J. Sci. Comput., 2016)

An integral equation technique for scattering problems with mixed boundary conditions. - Adrianna Gillman (Adv. Comput. Math., 2017)

High Resolution Inverse Scattering in Two Dimensions Using Recursive Linearization. - Carlos Borges; Adrianna Gillman; Leslie Greengard (SIAM J. Imaging Sci., 2017)

A fast direct solver for boundary value problems on locally perturbed geometries. - Yabin Zhang 004; Adrianna Gillman (J. Comput. Phys., 2018)

A fast direct solver for two dimensional quasi-periodic multilayered medium scattering problems. - Yabin Zhang 004; Adrianna Gillman (CoRR, 2019)

An Adaptive High Order Direct Solution Technique for Elliptic Boundary Value Problems. - P. Geldermans; Adrianna Gillman (SIAM J. Sci. Comput., 2019)

A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems. - Natalie N. Beams; Adrianna Gillman; Russell J. Hewett (Comput. Math. Appl., 2020)

An alternative extended linear system for boundary value problems on locally perturbed geometries. - Yabin Zhang 004; Adrianna Gillman (J. Comput. Phys., 2021)

A fast direct solver for integral equations on locally refined boundary discretizations and its application to multiphase flow simulations. - Yabin Zhang 004; Adrianna Gillman; Shravan K. Veerapaneni (Adv. Comput. Math., 2022)

A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems, Part II. - Yabin Zhang 004; Adrianna Gillman (CoRR, 2022)

An Iterative Solver for the HPS Discretization Applied to Three Dimensional Helmholtz Problems. - José Pablo Lucero Lorca; Natalie Beams; Damien Beecroft; Adrianna Gillman (SIAM J. Sci. Comput., 2024)