A. Gillman, Ph.D. - Publications

Affiliations: 
2011 Applied Mathematics University of Colorado, Boulder, Boulder, CO, United States 
Area:
Applied Mathematics

18 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

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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