Leslie Greengard - Publications

Affiliations: 
Program in Computational Biology New York University, New York, NY, United States 
Area:
Applied Mathematics, General, Computer Science

95 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
2016 Barnett AH, Magland JF, Greengard LF. Validation of neural spike sorting algorithms without ground-truth information. Journal of Neuroscience Methods. PMID 26930629 DOI: 10.1016/j.jneumeth.2016.02.022  1
2016 Ambikasaran S, Foreman-Mackey D, Greengard L, Hogg DW, O'Neil M. Fast Direct Methods for Gaussian Processes. Ieee Transactions On Pattern Analysis and Machine Intelligence. 38: 252-65. PMID 26761732 DOI: 10.1109/TPAMI.2015.2448083  1
2016 Epstein CL, Greengard L, Hagstrom T. On the stability of time-domain integral equations for acoustic wave propagation Discrete and Continuous Dynamical Systems- Series A. 36: 4367-4382. DOI: 10.3934/dcds.2016.36.4367  1
2016 Gimbutas Z, Greengard L. A fast multipole method for the evaluation of elastostatic fields in a half-space with zero normal stress Advances in Computational Mathematics. 42: 175-198. DOI: 10.1007/s10444-015-9416-1  1
2016 Vico F, Ferrando M, Greengard L, Gimbutas Z. The Decoupled Potential Integral Equation for Time-Harmonic Electromagnetic Scattering Communications On Pure and Applied Mathematics. 69: 771-812. DOI: 10.1002/cpa.21585  1
2015 Gimbutas Z, Greengard L. Computational Software: Simple FMM Libraries for Electrostatics, Slow Viscous Flow, and Frequency-Domain Wave Propagation Communications in Computational Physics. 18: 516-528. DOI: 10.4208/cicp.150215.260615sw  1
2015 Borges C, Greengard L. Inverse obstacle scattering in two dimensions with multiple frequency data and multiple angles of incidence Siam Journal On Imaging Sciences. 8: 280-298. DOI: 10.1137/140982787  1
2015 Gimbutas Z, Greengard L, Veerapaneni S. Simple and efficient representations for the fundamental solutions of Stokes flow in a half-space Journal of Fluid Mechanics. 776. DOI: 10.1017/jfm.2015.302  1
2015 Greengard L, Hagstrom T, Jiang S. Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain Journal of Computational Physics. 299: 98-105. DOI: 10.1016/j.jcp.2015.07.009  1
2015 Epstein CL, Greengard L, O'Neil M. Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields Communications On Pure and Applied Mathematics. 68: 2237-2280. DOI: 10.1002/cpa.21560  1
2015 Sifuentes J, Gimbutas Z, Greengard L. Randomized methods for rank-deficient linear systems Electronic Transactions On Numerical Analysis. 44: 177-188.  1
2014 Lai J, Kobayashi M, Greengard L. A fast solver for multi-particle scattering in a layered medium. Optics Express. 22: 20481-99. PMID 25321255 DOI: 10.1364/OE.22.020481  1
2014 Ilott AJ, Chandrashekar S, Klöckner A, Chang HJ, Trease NM, Grey CP, Greengard L, Jerschow A. Visualizing skin effects in conductors with MRI: (7)Li MRI experiments and calculations. Journal of Magnetic Resonance (San Diego, Calif. : 1997). 245: 143-9. PMID 25036296 DOI: 10.1016/j.jmr.2014.06.013  1
2014 Lai J, Ambikasaran S, Greengard LF. A fast direct solver for high frequency scattering from a large cavity in two dimensions Siam Journal On Scientific Computing. 36: B887-B903. DOI: 10.1137/140964904  1
2014 Jiang S, Greengard L, Bao W. Fast and accurate evaluation of nonlocal coulomb and dipole-dipole interactions via the nonuniform FFT Siam Journal On Scientific Computing. 36: B777-B794. DOI: 10.1137/130945582  1
2014 Askham T, Greengard L. Norm-preserving discretization of integral equations for elliptic PDEs with internal layers I: The one-dimensional case Siam Review. 56: 625-641. DOI: 10.1137/130922951  1
2014 Ho KL, Greengard L. A fast semidirect least squares algorithm for hierarchically block separable matrices Siam Journal On Matrix Analysis and Applications. 35: 725-748. DOI: 10.1137/120902677  1
2014 O'Neil M, Greengard L, Pataki A. On the efficient representation of the half-space impedance Green's function for the Helmholtz equation Wave Motion. 51: 1-13. DOI: 10.1016/j.wavemoti.2013.04.012  1
2014 Greengard L, Hagstrom T, Jiang S. The solution of the scalar wave equation in the exterior of a sphere Journal of Computational Physics. 274: 191-207. DOI: 10.1016/j.jcp.2014.05.031  1
2014 Greengard L, Ho KL, Lee JY. A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions Journal of Computational Physics. 258: 738-751. DOI: 10.1016/j.jcp.2013.11.011  1
2014 Jiang S, Greengard L, Wang S. Efficient sum-of-exponentials approximations for the heat kernel and their applications Advances in Computational Mathematics. 41: 529-551. DOI: 10.1007/s10444-014-9372-1  1
2014 Vico F, Greengard L, Gimbutas Z. Boundary integral equation analysis on the sphere Numerische Mathematik. 128: 463-487. DOI: 10.1007/s00211-014-0619-z  1
2013 Epstein CL, Greengard L, Kl̈Ockner A. On the convergence of local expansions of layer potentials Siam Journal On Numerical Analysis. 51: 2660-2679. DOI: 10.1137/120902859  1
2013 Epstein CL, Gimbutas Z, Greengard L, Klockner A, O'Neil M. A consistency condition for the vector potential in multiply-connected domains Ieee Transactions On Magnetics. 49: 1072-1076. DOI: 10.1109/TMAG.2012.2223480  1
2013 Vico F, Gimbutas Z, Greengard L, Ferrando-Bataller M. Overcoming low-frequency breakdown of the magnetic field integral equation Ieee Transactions On Antennas and Propagation. 61: 1285-1290. DOI: 10.1109/TAP.2012.2230232  1
2013 Klöckner A, Barnett A, Greengard L, O'Neil M. Quadrature by expansion: A new method for the evaluation of layer potentials Journal of Computational Physics. 252: 332-349. DOI: 10.1016/j.jcp.2013.06.027  1
2013 Pataki A, Cerfon AJ, Freidberg JP, Greengard L, O'Neil M. A fast, high-order solver for the Grad-Shafranov equation Journal of Computational Physics. 243: 28-45. DOI: 10.1016/j.jcp.2013.02.045  1
2013 Liang Z, Gimbutas Z, Greengard L, Huang J, Jiang S. A fast multipole method for the Rotne-Prager-Yamakawa tensor and its applications Journal of Computational Physics. 234: 133-139. DOI: 10.1016/j.jcp.2012.09.021  1
2013 Gimbutas Z, Greengard L. Fast multi-particle scattering: A hybrid solver for the Maxwell equations in microstructured materials Journal of Computational Physics. 232: 22-32. DOI: 10.1016/j.jcp.2012.01.041  1
2013 Epstein CL, Greengard L, O'Neil M. Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations II Communications On Pure and Applied Mathematics. 66: 753-789. DOI: 10.1002/cpa.21420  1
2012 Gimbutas Z, Greengard L, Barall M, Tullis TE. On the calculation of displacement, stress, and strain induced by triangular dislocations Bulletin of the Seismological Society of America. 102: 2776-2780. DOI: 10.1785/0120120127  1
2012 Ho KL, Greengard L. A fast direct solver for structured linear systems by recursive skeletonization Siam Journal On Scientific Computing. 34: A2507-A2532. DOI: 10.1137/120866683  1
2012 Jiang S, Veerapanen S, Greengard L. Integral equation methods for unsteady Stokes flow in two dimensions Siam Journal On Scientific Computing. 34: A2197-A2219. DOI: 10.1137/110860537  1
2012 Greengard L, Lee JY. Stable and accurate integral equation methods for scattering problems with multiple material interfaces in two dimensions Journal of Computational Physics. 231: 2389-2395. DOI: 10.1016/j.jcp.2011.11.034  1
2012 Greengard L, Shelley M. Editorial Advances in Computational Mathematics. 36: 1. DOI: 10.1007/s10444-011-9267-3  1
2011 Langston MH, Greengard L, Zorin D. A free-space adaptive fmm-based pde solver in three dimensions Communications in Applied Mathematics and Computational Science. 6: 79-122. DOI: 10.2140/camcos.2011.6.79  1
2011 Pataki A, Greengard L. Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator Journal of Computational Physics. 230: 7840-7852. DOI: 10.1016/j.jcp.2011.07.005  1
2011 Greengard L, Stucchio C. Spectral edge detection in two dimensions using wavefronts Applied and Computational Harmonic Analysis. 30: 69-95. DOI: 10.1016/j.acha.2010.02.007  1
2011 Barnett A, Greengard L. A new integral representation for quasi-periodic scattering problems in two dimensions Bit Numerical Mathematics. 51: 67-90. DOI: 10.1007/s10543-010-0297-x  1
2010 Hesford AJ, Astheimer JP, Greengard LF, Waag RC. A mesh-free approach to acoustic scattering from multiple spheres nested inside a large sphere by using diagonal translation operators. The Journal of the Acoustical Society of America. 127: 850-61. PMID 20136208 DOI: 10.1121/1.3277219  1
2010 Spivak M, Veerapaneni SK, Greengard L. The fast generalized Gauss transform Siam Journal On Scientific Computing. 32: 3092-3107. DOI: 10.1137/100790744  1
2010 Barnett A, Greengard L. A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations Journal of Computational Physics. 229: 6898-6914. DOI: 10.1016/j.jcp.2010.05.029  1
2009 Li JR, Greengard L. High order accurate methods for the evaluation of layer heat potentials Siam Journal On Scientific Computing. 31: 3847-3860. DOI: 10.1137/080732389  1
2009 Chang CS, Ku S, Diamond P, Adams M, Barreto R, Chen Y, Cummings J, D'Azevedo E, Dif-Pradalier G, Ethier S, Greengard L, Hahm S, Hinton F, Keyes D, Klasky S, et al. Whole-volume integrated gyrokinetic simulation of plasma turbulence in realistic diverted-tokamak geometry Journal of Physics: Conference Series. 180. DOI: 10.1088/1742-6596/180/1/012057  1
2009 Greengard L, Gueyffier D, Martinsson PG, Rokhlin V. Fast direct solvers for integral equations in complex three-dimensional domains Acta Numerica. 18: 243-275. DOI: 10.1017/S0962492906410011  1
2009 Gimbutas Z, Greengard L. A fast and stable method for rotating spherical harmonic expansions Journal of Computational Physics. 228: 5621-5627. DOI: 10.1016/j.jcp.2009.05.014  1
2008 Chang CS, Klasky S, Cummings J, Samtaney R, Shoshani A, Sugiyama L, Keyes D, Ku S, Park G, Parker S, Podhorszki N, Strauss H, Abbasi H, Adams M, Barreto R, ... ... Greengard L, et al. Toward a first-principles integrated simulation of tokamak edge plasmas Journal of Physics: Conference Series. 125. DOI: 10.1088/1742-6596/125/1/012042  1
2008 Barbano PE, Spivak M, Flajolet M, Nairn AC, Greengard P, Greengard L. A mathematical tool for exploring the dynamics of biological networks (Proceedings of the National Academy of Sciences of the United States of America (2007) 104, 49, (19169-19174) DOI: 10.1073/pnas.0709955104) Proceedings of the National Academy of Sciences of the United States of America. 105: 5945. DOI: 10.1073/pnas.0802451105  1
2008 Tornberg AK, Greengard L. A fast multipole method for the three-dimensional Stokes equations Journal of Computational Physics. 227: 1613-1619. DOI: 10.1016/j.jcp.2007.06.029  1
2008 Jiang S, Greengard L. Efficient representation of nonreflecting boundary conditions for the time-dependent Schrödinger equation in two dimensions Communications On Pure and Applied Mathematics. 61: 261-268. DOI: 10.1002/cpa.20200  1
2007 Barbano PE, Spivak M, Flajolet M, Nairn AC, Greengard P, Greengard L. A mathematical tool for exploring the dynamics of biological networks. Proceedings of the National Academy of Sciences of the United States of America. 104: 19169-74. PMID 18032599 DOI: 10.1073/pnas.0709955104  1
2007 Li JR, Greengard L. On the numerical solution of the heat equation I: Fast solvers in free space Journal of Computational Physics. 226: 1891-1901. DOI: 10.1016/j.jcp.2007.06.021  1
2006 Boyd DA, Greengard L, Brongersma M, Ei-Naggar MY, Goodwin DG. Plasmon-assisted chemical vapor deposition Nano Letters. 6: 2592-2597. PMID 17090097 DOI: 10.1021/nl062061m  1
2006 Cheng H, Crutchfield WY, Gimbutas Z, Greengard LF, Ethridge JF, Huang J, Rokhlin V, Yarvin N, Zhao J. A wideband fast multipole method for the Helmholtz equation in three dimensions Journal of Computational Physics. 216: 300-325. DOI: 10.1016/j.jcp.2005.12.001  1
2006 Greengard L, Lee JY. Electrostatics and heat conduction in high contrast composite materials Journal of Computational Physics. 211: 64-76. DOI: 10.1016/j.jcp.2005.05.004  1
2005 Lee JY, Greengard L. The type 3 nonuniform FFT and its applications Journal of Computational Physics. 206: 1-5. DOI: 10.1016/j.jcp.2004.12.004  1
2004 Crutchfield WY, Cheng H, Greengard L. Sensitivity analysis of photonic crystal fiber Optics Express. 12: 4220-4226. DOI: 10.1364/OPEX.12.004220  1
2004 Cheng H, Crutchfield WY, Doery M, Greengard L. Fast, accurate integral equation methods for the analysis of photonic crystal fibers I: Theory Optics Express. 12: 3791-3805. DOI: 10.1364/OPEX.12.003791  1
2004 Greengard L, Lee JY. Accelerating the nonuniform fast Fourier transform Siam Review. 46: 443-454. DOI: 10.1137/S003614450343200X  1
2004 Greengard L, Kropinski MC. Integral equation methods for Stokes flow in doubly-periodic domains Journal of Engineering Mathematics. 48: 157-170. DOI: 10.1023/B:ENGI.0000011923.59797.92  1
2004 Li JR, Greengard L. High order marching schemes for the wave equation in complex geometry Journal of Computational Physics. 198: 295-309. DOI: 10.1016/j.jcp.2004.01.021  1
2004 Jiang S, Greengard L. Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension Computers and Mathematics With Applications. 47: 955-966.  1
2003 Li JR, Greengard L. Strongly consistent marching schemes for the wave equation Journal of Computational Physics. 188: 194-208. DOI: 10.1016/S0021-9991(03)00163-3  1
2002 Ethridge F, Greengard L. A new fast-multipole accelerated poisson solver in two dimensions Siam Journal On Scientific Computing. 23: 741-760. DOI: 10.1137/S1064827500369967  1
2002 Greengard LF, Huang J. A new version of the fast multipole method for screened Coulomb interactions in three dimensions Journal of Computational Physics. 180: 642-658. DOI: 10.1006/jcph.2002.7110  1
2002 Alpert B, Greengard L, Hagstrom T. Nonreflecting boundary conditions for the time-dependent wave equation Journal of Computational Physics. 180: 270-296. DOI: 10.1006/jcph.2002.7093  1
2001 Gimbutas Z, Greengard L, Minion M. Coulomb interactions on planar structures: Inverting the square root of the Laplacian Siam Journal On Scientific Computing. 22: 2093-2108. DOI: 10.1137/S1064827599361199  1
2001 Dienstfrey A, Greengard L. Analytic continuation, singular-value expansions, and Kramers-Kronig analysis Inverse Problems. 17: 1307-1320. DOI: 10.1088/0266-5611/17/5/305  1
2000 Alpert B, Greengard L, Hagstrom T. An Integral Evolution Formula for the Wave Equation Journal of Computational Physics. 162: 536-543. DOI: 10.1006/jcph.2000.6547  1
2000 Alpert B, Greengard L, Hagstrom T. Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation Siam Journal On Numerical Analysis. 37: 1138-1164.  1
2000 Greengard L, Lin P. Spectral Approximation of the Free-Space Heat Kernel Applied and Computational Harmonic Analysis. 9: 83-97.  1
2000 Dutt A, Greengard L, Rokhlin V. Spectral deferred correction methods for ordinary differential equations Bit Numerical Mathematics. 40: 241-266.  1
1999 Huang J, Greengard L. A fast direct solver for elliptic partial differential equations on adaptively refined meshes Siam Journal On Scientific Computing. 21: 1551-1566. DOI: S1064827598346235  1
1999 Cheng H, Greengard L, Rokhlin V. A Fast Adaptive Multipole Algorithm in Three Dimensions Journal of Computational Physics. 155: 468-498. DOI: 10.1006/jcph.1999.6355  1
1998 Greengard L, Huang J, Rokhlin V, Wandzura S. Accelerating fast multipole methods for the Helmholtz equation at low frequencies Ieee Computational Science & Engineering. 5: 32-38. DOI: 10.1109/99.714591  1
1998 Greengard L, Kropinski MC. An integral equation approach to the incompressible navier-stokes equations in two dimensions Siam Journal On Scientific Computing. 20: 318-336.  1
1998 Greengard L, Helsing J. On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites Journal of the Mechanics and Physics of Solids. 46: 1441-1462.  1
1998 Cheng H, Greengard L. A method of images for the evaluation of electrostatic fields in systems of closely spaced conducting cylinders Siam Journal On Applied Mathematics. 58: 122-141.  1
1998 Hagstrom T, Alpert BK, Greengard LF, Hariharan SI. Accurate boundary treatments for Maxwell's equations and their computational complexity Annual Review of Progress in Applied Computational Electromagnetics. 2: 600-606.  1
1997 Cheng H, Greengard L. On the numerical evaluation of electrostatic fields in dense random dispersions of cylinders Journal of Computational Physics. 136: 629-639. DOI: 10.1006/jcph.1997.5787  1
1997 Greengard L, Rokhlin V. A fast algorithm for particle simulations Journal of Computational Physics. 135: 280-292. DOI: 10.1006/jcph.1997.5706  1
1997 Lee JY, Greengard L. A fast adaptive numerical method for stiff two-point boundary value problems Siam Journal On Scientific Computing. 18: 403-429.  1
1996 Greengard L, Lee JY. A direct adaptive poisson solver of arbitrary order accuracy Journal of Computational Physics. 125: 415-424. DOI: 10.1006/jcph.1996.0103  1
1996 Greengard L, Kropinski MC, Mayo A. Integral equation methods for stokes flow and isotropic elasticity in the plane Journal of Computational Physics. 125: 403-414. DOI: 10.1006/jcph.1996.0102  1
1996 Greengard L. Fast algorithms for composite materials Materials Research Society Symposium - Proceedings. 408: 93-97.  1
1995 Greengard L, Helsing J. A numerical study of the ζ2 parameter for random suspensions of disks Journal of Applied Physics. 77: 2015-2019. DOI: 10.1063/1.358838  1
1995 McKenney A, Greengard L, Mayo A. A fast Poisson solver for complex geometries Journal of Computational Physics. 118: 348-355. DOI: 10.1006/jcph.1995.1104  1
1994 Berman CL, Greengard L. A renormalization method for the evaluation of lattice sums Journal of Mathematical Physics. 35: 6036-6048.  1
1994 Greengard L. Fast algorithms for classical physics Science. 265: 909-914.  1
1993 Greenbaum A, Greengard L, McFadden GB. Laplace's Equation and the Dirichlet-Neumann Map in Multiply Connected Domains Journal of Computational Physics. 105: 267-278. DOI: 10.1006/jcph.1993.1073  1
1992 Greenbaum A, Greengard L, Mayo A. On the numerical solution of the biharmonic equation in the plane Physica D: Nonlinear Phenomena. 60: 216-225. DOI: 10.1016/0167-2789(92)90238-I  1
1991 Greengard L. Spectral integration and two-point boundary value problems Siam Journal On Numerical Analysis. 28: 1071-1080.  1
1990 Greengard L, Gropp WD. A parallel version of the fast multipole method Computers and Mathematics With Applications. 20: 63-71. DOI: 10.1016/0898-1221(90)90349-O  1
1990 Anderson CR, Greengard C, Greengard L, Rokhlin V. On the accurate calculation of vortex shedding Physics of Fluids A. 2: 883-885.  1
1988 Ambrosiano J, Greengard L, Rokhlin V. The fast multipole method for gridless particle simulation Computer Physics Communications. 48: 117-125. DOI: 10.1016/0010-4655(88)90029-X  1
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