A direct solver with O(N) complexity for integral equations on one-dimensional domains A Gillman, PM Young, PG Martinsson Frontiers of Mathematics in China 7, 217-247, 2012 | 146 | 2012 |
A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media A Gillman, AH Barnett, PG Martinsson BIT Numerical Mathematics 55, 141-170, 2015 | 112 | 2015 |
A Direct Solver with Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method A Gillman, PG Martinsson SIAM Journal on Scientific Computing 36 (4), A2023-A2046, 2014 | 74 | 2014 |
A fast algorithm for simulating multiphase flows through periodic geometries of arbitrary shape GR Marple, A Barnett, A Gillman, S Veerapaneni SIAM Journal on Scientific Computing 38 (5), B740-B772, 2016 | 45 | 2016 |
A high-order accurate accelerated direct solver for acoustic scattering from surfaces J Bremer, A Gillman, PG Martinsson BIT Numerical Mathematics 55, 367-397, 2015 | 44 | 2015 |
Fast direct solvers for elliptic partial differential equations A Gillman University of Colorado at Boulder, 2011 | 37 | 2011 |
High resolution inverse scattering in two dimensions using recursive linearization C Borges, A Gillman, L Greengard SIAM Journal on Imaging Sciences 10 (2), 641-664, 2017 | 36 | 2017 |
A fast direct solver for quasi-periodic scattering problems A Gillman, A Barnett Journal of Computational Physics 248, 309-322, 2013 | 33 | 2013 |
An O(N) algorithm for constructing the solution operator to 2D elliptic boundary value problems in the absence of body loads A Gillman, PG Martinsson Advances in Computational Mathematics 40, 773-796, 2014 | 31 | 2014 |
Fast and accurate numerical methods for solving elliptic difference equations defined on lattices A Gillman, PG Martinsson Journal of Computational Physics 229 (24), 9026-9041, 2010 | 23 | 2010 |
A simplified technique for the efficient and highly accurate discretization of boundary integral equations in 2D on domains with corners A Gillman, S Hao, PG Martinsson Journal of Computational Physics 256, 214-219, 2014 | 20 | 2014 |
An accelerated Poisson solver based on multidomain spectral discretization T Babb, A Gillman, S Hao, PG Martinsson BIT Numerical Mathematics 58, 851-879, 2018 | 15 | 2018 |
A fast solver for Poisson problems on infinite regular lattices A Gillman, PG Martinsson Journal of Computational and Applied Mathematics 258, 42-56, 2014 | 15 | 2014 |
A mixed hybrid formulation based on oscillated finite element polynomials for solving Helmholtz problems A Gillman, R Djellouli, M Amara Journal of computational and applied mathematics 204 (2), 515-525, 2007 | 14 | 2007 |
An adaptive high order direct solution technique for elliptic boundary value problems P Geldermans, A Gillman SIAM Journal on Scientific Computing 41 (1), A292-A315, 2019 | 13 | 2019 |
A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems Y Zhang, A Gillman BIT Numerical Mathematics 61, 141-171, 2021 | 10 | 2021 |
A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems NN Beams, A Gillman, RJ Hewett Computers & Mathematics with Applications 79 (4), 996-1011, 2020 | 10 | 2020 |
An integral equation technique for scattering problems with mixed boundary conditions A Gillman Advances in Computational Mathematics 43, 351-364, 2017 | 10 | 2017 |
A fast direct solver for boundary value problems on locally perturbed geometries Y Zhang, A Gillman Journal of Computational Physics 356, 356-371, 2018 | 9 | 2018 |
An alternative extended linear system for boundary value problems on locally perturbed geometries Y Zhang, A Gillman Journal of Computational Physics 433, 110182, 2021 | 4 | 2021 |