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