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Adrianna Gillman
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Year
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
1462012
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
1112015
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
732014
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
452016
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
442015
Fast direct solvers for elliptic partial differential equations
A Gillman
University of Colorado at Boulder, 2011
372011
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
362017
A fast direct solver for quasi-periodic scattering problems
A Gillman, A Barnett
Journal of Computational Physics 248, 309-322, 2013
332013
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
312014
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
232010
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
202014
An accelerated Poisson solver based on multidomain spectral discretization
T Babb, A Gillman, S Hao, PG Martinsson
BIT Numerical Mathematics 58, 851-879, 2018
152018
A fast solver for Poisson problems on infinite regular lattices
A Gillman, PG Martinsson
Journal of Computational and Applied Mathematics 258, 42-56, 2014
152014
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
142007
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
132019
A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems
Y Zhang, A Gillman
BIT Numerical Mathematics 61, 141-171, 2021
102021
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
102020
An integral equation technique for scattering problems with mixed boundary conditions
A Gillman
Advances in Computational Mathematics 43, 351-364, 2017
102017
A fast direct solver for boundary value problems on locally perturbed geometries
Y Zhang, A Gillman
Journal of Computational Physics 356, 356-371, 2018
92018
An alternative extended linear system for boundary value problems on locally perturbed geometries
Y Zhang, A Gillman
Journal of Computational Physics 433, 110182, 2021
42021
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