Year |
Citation |
Score |
2020 |
Beams NN, Gillman A, Hewett RJ. A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems Computers & Mathematics With Applications. 79: 996-1011. DOI: 10.1016/J.Camwa.2019.08.019 |
0.394 |
|
2020 |
Zhang Y, Gillman A. A fast direct solver for two dimensional quasi-periodic multilayered medium scattering problems. Bit Numerical Mathematics. 1-31. DOI: 10.1007/S10543-020-00818-Z |
0.461 |
|
2019 |
Geldermans P, Gillman A. An Adaptive High Order Direct Solution Technique for Elliptic Boundary Value Problems Siam Journal On Scientific Computing. 41. DOI: 10.1137/17M1156320 |
0.437 |
|
2018 |
Zhang Y, Gillman A. A fast direct solver for boundary value problems on locally perturbed geometries Journal of Computational Physics. 356: 356-371. DOI: 10.1016/J.Jcp.2017.12.013 |
0.529 |
|
2018 |
Babb T, Gillman A, Hao S, Martinsson P. An accelerated Poisson solver based on multidomain spectral discretization Bit Numerical Mathematics. 58: 851-879. DOI: 10.1007/S10543-018-0714-0 |
0.686 |
|
2017 |
Borges C, Gillman A, Greengard L. High Resolution Inverse Scattering in Two Dimensions Using Recursive Linearization Siam Journal On Imaging Sciences. 10: 641-664. DOI: 10.1137/16M1093562 |
0.435 |
|
2017 |
Gillman A. An integral equation technique for scattering problems with mixed boundary conditions Advances in Computational Mathematics. 43: 351-364. DOI: 10.1007/S10444-016-9488-6 |
0.518 |
|
2016 |
Marple GR, Barnett AH, Gillman A, Veerapaneni S. A Fast Algorithm for Simulating Multiphase Flows Through Periodic Geometries of Arbitrary Shape Siam Journal On Scientific Computing. 38. DOI: 10.1137/15M1043066 |
0.372 |
|
2015 |
Gillman A, Barnett AH, Martinsson PG. A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media Bit Numerical Mathematics. 55: 141-170. DOI: 10.1007/S10543-014-0499-8 |
0.635 |
|
2014 |
Gillman A, Martinsson P. A Direct Solver with $O(N)$ Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method Siam Journal On Scientific Computing. 36. DOI: 10.1137/130918988 |
0.686 |
|
2014 |
Gillman A, Hao S, Martinsson PG. A simplified technique for the efficient and highly accurate discretization of boundary integral equations in 2D on domains with corners Journal of Computational Physics. 256: 214-219. DOI: 10.1016/J.Jcp.2013.08.049 |
0.629 |
|
2014 |
Gillman A, Martinsson PG. A fast solver for Poisson problems on infinite regular lattices Journal of Computational and Applied Mathematics. 258: 42-56. DOI: 10.1016/J.Cam.2013.09.003 |
0.675 |
|
2014 |
Bremer J, Gillman A, Martinsson PG. A high-order accurate accelerated direct solver for acoustic scattering from surfaces Bit Numerical Mathematics. 55: 367-397. DOI: 10.1007/S10543-014-0508-Y |
0.635 |
|
2013 |
Gillman A, Barnett AH. A fast direct solver for quasi-periodic scattering problems Journal of Computational Physics. 248: 309-322. DOI: 10.1016/J.Jcp.2013.04.015 |
0.526 |
|
2013 |
Gillman A, Martinsson PG. An O(N) algorithm for constructing the solution operator to 2D elliptic boundary value problems in the absence of body loads Advances in Computational Mathematics. 1-24. DOI: 10.1007/S10444-013-9326-Z |
0.665 |
|
2012 |
Gillman A, Young PM, Martinsson PG. A direct solver with O(N) complexity for integral equations on one-dimensional domains Frontiers of Mathematics in China. 7: 217-247. DOI: 10.1007/S11464-012-0188-3 |
0.661 |
|
2010 |
Gillman A, Martinsson PG. Fast and accurate numerical methods for solving elliptic difference equations defined on lattices Journal of Computational Physics. 229: 9026-9041. DOI: 10.1016/J.Jcp.2010.07.024 |
0.689 |
|
2007 |
Gillman A, Djellouli R, Amara M. A mixed hybrid formulation based on oscillated finite element polynomials for solving Helmholtz problems Journal of Computational and Applied Mathematics. 204: 515-525. DOI: 10.1016/J.Cam.2006.03.032 |
0.448 |
|
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