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ORCIDAlex H. Barnett
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- affiliation: Department of Mathematics, Dartmouth College, USA
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Journal Articles
- 2025
[j28]Anna Broms
, Alex H. Barnett, Anna-Karin Tornberg:
Accurate close interactions of Stokes spheres using lubrication-adapted image systems. J. Comput. Phys. 523: 113636 (2025)- [j27]Philip Greengard, Manas Rachh, Alex H. Barnett:
Equispaced Fourier Representations for Efficient Gaussian Process Regression from a Billion Data Points. SIAM/ASA J. Uncertain. Quantification 13(1): 63-89 (2025) - 2024
- [j26]Fruzsina Julia Agocs, Alex H. Barnett:
Trapped acoustic waves and raindrops: High-order accurate integral equation method for localized excitation of a periodic staircase. J. Comput. Phys. 519: 113383 (2024) - [j25]Fruzsina Julia Agocs, Alex H. Barnett:
An Adaptive Spectral Method for Oscillatory Second-Order Linear ODEs with Frequency-Independent Cost. SIAM J. Numer. Anal. 62(1): 295-321 (2024) - 2023
- [j24]Fruzsina Julia Agocs, Alex H. Barnett:
riccati: an adaptive, spectral solver for oscillatory ODEs. J. Open Source Softw. 8(87): 5430 (2023) - 2022
- [j23]David B. Stein, Alex H. Barnett:
Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects. Adv. Comput. Math. 48(5): 60 (2022) - [j22]Alex H. Barnett:
How Exponentially Ill-Conditioned Are Contiguous Submatrices of the Fourier Matrix? SIAM Rev. 64(1): 105-131 (2022) - 2021
- [j21]Jun Wang, Ehssan Nazockdast, Alex H. Barnett:
An integral equation method for the simulation of doubly-periodic suspensions of rigid bodies in a shearing viscous flow. J. Comput. Phys. 424: 109809 (2021) - [j20]David A. Barmherzig, Alex H. Barnett, Charles L. Epstein, Leslie F. Greengard, Jeremy F. Magland, Manas Rachh:
Recovering Missing Data in Coherent Diffraction Imaging. SIAM J. Imaging Sci. 14(2): 620-644 (2021) - 2020
- [j19]Alex H. Barnett, Leslie Greengard, Thomas M. Hagstrom:
High-order discretization of a stable time-domain integral equation for 3D acoustic scattering. J. Comput. Phys. 402 (2020) - [j18]Bowei Wu, Hai Zhu, Alex H. Barnett, Shravan K. Veerapaneni:
Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme. J. Comput. Phys. 410: 109361 (2020) - 2019
- [j17]Alex H. Barnett, Jeremy F. Magland, Ludvig af Klinteberg:
A Parallel Nonuniform Fast Fourier Transform Library Based on an "Exponential of Semicircle" Kernel. SIAM J. Sci. Comput. 41(5): C479-C504 (2019) - 2017
- [j16]Alex H. Barnett, Leslie Greengard, Andras Pataki, Marina Spivak:
Rapid Solution of the Cryo-EM Reconstruction Problem by Frequency Marching. SIAM J. Imaging Sci. 10(3): 1170-1195 (2017) - 2016
- [j15]Yuxiang Liu, Alex H. Barnett:
Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects. J. Comput. Phys. 324: 226-245 (2016) - [j14]Gary R. Marple, Alex H. Barnett, Adrianna Gillman, Shravan K. Veerapaneni:
A Fast Algorithm for Simulating Multiphase Flows Through Periodic Geometries of Arbitrary Shape. SIAM J. Sci. Comput. 38(5) (2016) - 2015
- [j13]Alex H. Barnett, Bradley J. Nelson, J. Matthew Mahoney:
High-order boundary integral equation solution of high frequency wave scattering from obstacles in an unbounded linearly stratified medium. J. Comput. Phys. 297: 407-426 (2015) - [j12]Jun Lai, Motoki Kobayashi, Alex H. Barnett:
A fast and robust solver for the scattering from a layered periodic structure containing multi-particle inclusions. J. Comput. Phys. 298: 194-208 (2015) - [j11]Lin Zhao, Alex H. Barnett:
Robust and Efficient Solution of the Drum Problem via Nyström Approximation of the Fredholm Determinant. SIAM J. Numer. Anal. 53(4): 1984-2007 (2015) - [j10]Alex H. Barnett, Bowei Wu, Shravan K. Veerapaneni:
Spectrally Accurate Quadratures for Evaluation of Layer Potentials Close to the Boundary for the 2D Stokes and Laplace Equations. SIAM J. Sci. Comput. 37(4) (2015) - 2014
- [j9]Sijia Hao, Alex H. Barnett, Per-Gunnar Martinsson, P. Young:
High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane. Adv. Comput. Math. 40(1): 245-272 (2014) - [j8]Alex H. Barnett:
Evaluation of Layer Potentials Close to the Boundary for Laplace and Helmholtz Problems on Analytic Planar Domains. SIAM J. Sci. Comput. 36(2) (2014) - 2013
- [j7]Adrianna Gillman, Alex H. Barnett:
A fast direct solver for quasi-periodic scattering problems. J. Comput. Phys. 248: 309-322 (2013) - [j6]Andreas Klöckner, Alexander H. Barnett, Leslie Greengard, Michael O'Neil:
Quadrature by expansion: A new method for the evaluation of layer potentials. J. Comput. Phys. 252: 332-349 (2013) - 2011
- [j5]Alex H. Barnett, Andrew Hassell:
Boundary Quasi-Orthogonality and Sharp Inclusion Bounds for Large Dirichlet Eigenvalues. SIAM J. Numer. Anal. 49(3): 1046-1063 (2011) - 2010
- [j4]Alexander H. Barnett, Leslie Greengard:
A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations. J. Comput. Phys. 229(19): 6898-6914 (2010) - [j3]Alex H. Barnett, Timo Betcke:
An Exponentially Convergent Nonpolynomial Finite Element Method for Time-Harmonic Scattering from Polygons. SIAM J. Sci. Comput. 32(3): 1417-1441 (2010) - 2009
- [j2]Alex H. Barnett:
Perturbative Analysis of the Method of Particular Solutions for Improved Inclusion of High-Lying Dirichlet Eigenvalues. SIAM J. Numer. Anal. 47(3): 1952-1970 (2009) - 2008
- [j1]Alex H. Barnett, Timo Betcke:
Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains. J. Comput. Phys. 227(14): 7003-7026 (2008)
Conference and Workshop Papers
- 2021
- [c1]Yu-Hsuan Shih, Garrett Wright, Joakim Andén, Johannes P. Blaschke, Alex H. Barnett:
cuFINUFFT: a load-balanced GPU library for general-purpose nonuniform FFTs. IPDPS Workshops 2021: 688-697
Informal and Other Publications
- 2025
- [i23]Daniel Fortunato, David B. Stein, Alex H. Barnett:
A fully adaptive, high-order, fast Poisson solver for complex two-dimensional geometries. CoRR abs/2501.17967 (2025) - [i22]Jiuyang Liang, Libin Lu, Alex H. Barnett, Leslie Greengard, Shidong Jiang:
Accelerating Fast Ewald Summation with Prolates for Molecular Dynamics Simulations. CoRR abs/2505.09727 (2025) - 2024
- [i21]Heather Wilber, Ethan N. Epperly, Alex H. Barnett:
A superfast direct inversion method for the nonuniform discrete Fourier transform. CoRR abs/2404.13223 (2024) - [i20]Anna Broms, Alex H. Barnett, Anna-Karin Tornberg:
Accurate close interactions of Stokes spheres using lubrication-adapted image systems. CoRR abs/2407.03343 (2024) - [i19]Anna Broms, Alex H. Barnett, Anna-Karin Tornberg:
A Method of Fundamental Solutions for Large-Scale 3D Elastance and Mobility Problems. CoRR abs/2409.04215 (2024) - 2023
- [i18]Alex H. Barnett, Philip Greengard, Manas Rachh:
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids. CoRR abs/2305.11065 (2023) - [i17]Fruzsina Julia Agocs, Alex H. Barnett:
Trapped acoustic waves and raindrops: high-order accurate integral equation method for localized excitation of a periodic staircase. CoRR abs/2310.12486 (2023) - 2022
- [i16]Jason Kaye, Alex H. Barnett, Leslie Greengard, Umberto De Giovannini, Angel Rubio:
Eliminating artificial boundary conditions in time-dependent density functional theory using Fourier contour deformation. CoRR abs/2209.11027 (2022) - [i15]Philip Greengard, Manas Rachh, Alex H. Barnett:
Equispaced Fourier representations for efficient Gaussian process regression from a billion data points. CoRR abs/2210.10210 (2022) - [i14]Jason Kaye, Sophie Beck, Alex H. Barnett, Lorenzo Van Muñoz, Olivier Parcollet:
Automatic, high-order, and adaptive algorithms for Brillouin zone integration. CoRR abs/2211.12959 (2022) - [i13]Fruzsina Julia Agocs, Alex H. Barnett:
An adaptive spectral method for oscillatory second-order linear ODEs with frequency-independent cost. CoRR abs/2212.06924 (2022) - 2021
- [i12]Yu-Hsuan Shih, Garrett Wright, Joakim Andén, Johannes P. Blaschke, Alex H. Barnett:
cuFINUFFT: a load-balanced GPU library for general-purpose nonuniform FFTs. CoRR abs/2102.08463 (2021) - [i11]David B. Stein, Alex H. Barnett:
Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects. CoRR abs/2109.08802 (2021) - 2020
- [i10]Jason Kaye, Alex H. Barnett, Leslie Greengard:
A high-order integral equation-based solver for the time-dependent Schrodinger equation. CoRR abs/2001.06113 (2020) - [i9]Alex H. Barnett:
Aliasing error of the exp(β√(1-z2)) kernel in the nonuniform fast Fourier transform. CoRR abs/2001.09405 (2020) - [i8]David Barmherzig, Alex H. Barnett, Charles L. Epstein, Leslie Greengard, Jeremy F. Magland, Manas Rachh:
Recovering missing data in coherent diffraction imaging. CoRR abs/2002.02874 (2020) - [i7]Alex H. Barnett:
How exponentially ill-conditioned are contiguous submatrices of the Fourier matrix? CoRR abs/2004.09643 (2020) - [i6]Alex H. Barnett:
Efficient high-order accurate Fresnel diffraction via areal quadrature and the nonuniform FFT. CoRR abs/2010.05978 (2020) - 2019
- [i5]Bowei Wu, Hai Zhu, Alex H. Barnett, Shravan K. Veerapaneni:
Solution of Stokes flow in complex nonsmooth 2D geometries via a linear-scaling high-order adaptive integral equation scheme. CoRR abs/1909.00049 (2019) - [i4]Ludvig af Klinteberg, Alex H. Barnett:
Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity swapping. CoRR abs/1910.09899 (2019) - [i3]Jun Wang, Ehssan Nazockdast, Alex H. Barnett:
An integral equation method for the simulation of doubly-periodic suspensions of rigid bodies in a shearing viscous flow. CoRR abs/1912.04501 (2019) - 2018
- [i2]Alex H. Barnett, Jeremy F. Magland, Ludvig af Klinteberg:
A parallel non-uniform fast Fourier transform library based on an "exponential of semicircle" kernel. CoRR abs/1808.06736 (2018) - 2015
- [i1]Alex H. Barnett, Jeremy F. Magland, Leslie Greengard:
Validation of neural spike sorting algorithms without ground-truth information. CoRR abs/1508.06936 (2015)
Coauthor Index
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