A Parallel Version of the Fast Multipole Method-Invited Talk. - Leslie Greengard; William Gropp (PP, 1987)

Potential Flow in Channels. - Leslie Greengard (SIAM J. Sci. Comput., 1990)

The Fast Gauss Transform. - Leslie Greengard; John Strain (SIAM J. Sci. Comput., 1991)

A Fast Adaptive Numerical Method for Stiff Two-Point Boundary Value Problems. - June-Yub Lee; Leslie Greengard (SIAM J. Sci. Comput., 1997)

A Method of Images for the Evaluation of Electrostatic Fields in Systems of Closely Spaced Conducting Cylinders. - Hongwei Cheng; Leslie Greengard (SIAM J. Appl. Math., 1998)

An Integral Equation Approach to the Incompressible Navier-Stokes Equations in Two Dimensions. - Leslie Greengard; Mary Catherine A. Kropinski (SIAM J. Sci. Comput., 1998)

A Fast Direct Solver for Elliptic Partial Differential Equations on Adaptively Refined Meshes. - Jingfang Huang; Leslie Greengard (SIAM J. Sci. Comput., 1999)

Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation. - Bradley K. Alpert; Leslie Greengard; Thomas M. Hagstrom (SIAM J. Numer. Anal., 2000)

A New Fast-Multipole Accelerated Poisson Solver in Two Dimensions. - J. Frank Ethridge; Leslie Greengard (SIAM J. Sci. Comput., 2001)

Coulomb Interactions on Planar Structures: Inverting the Square Root of the Laplacian. - Zydrunas Gimbutas; Leslie Greengard; Michael L. Minion (SIAM J. Sci. Comput., 2001)

Accelerating the Nonuniform Fast Fourier Transform. - Leslie Greengard; June-Yub Lee (SIAM Rev., 2004)

A wideband fast multipole method for the Helmholtz equation in three dimensions. - Hongwei Cheng; William Y. Crutchfield; Zydrunas Gimbutas; Leslie Greengard; J. Frank Ethridge; Jingfang Huang; Vladimir Rokhlin; Norman Yarvin; Junsheng Zhao (J. Comput. Phys., 2006)

On the numerical solution of the heat equation I: Fast solvers in free space. - Jing-Rebecca Li; Leslie Greengard (J. Comput. Phys., 2007)

A fast multipole method for the three-dimensional Stokes equations. - Anna-Karin Tornberg; Leslie Greengard (J. Comput. Phys., 2008)

Reconstructing Curves from Points and Tangents - Leslie Greengard; Chris Stucchio (CoRR, 2009)

A fast and stable method for rotating spherical harmonic expansions. - Zydrunas Gimbutas; Leslie Greengard (J. Comput. Phys., 2009)

High Order Accurate Methods for the Evaluation of Layer Heat Potentials. - Jing-Rebecca Li; Leslie Greengard (SIAM J. Sci. Comput., 2009)

A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations. - Alexander H. Barnett; Leslie Greengard (J. Comput. Phys., 2010)

The Fast Generalized Gauss Transform. - Marina Spivak; Shravan K. Veerapaneni; Leslie Greengard (SIAM J. Sci. Comput., 2010)

Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator. - Andras Pataki; Leslie Greengard (J. Comput. Phys., 2011)

Editorial. - Leslie Greengard; Michael J. Shelley (Adv. Comput. Math., 2012)

Stable and accurate integral equation methods for scattering problems with multiple material interfaces in two dimensions. - Leslie Greengard; June-Yub Lee (J. Comput. Phys., 2012)

A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization. - Kenneth L. Ho; Leslie Greengard (SIAM J. Sci. Comput., 2012)

Integral Equation Methods for Unsteady Stokes Flow in Two Dimensions. - Shidong Jiang; Shravan K. Veerapaneni; Leslie Greengard (SIAM J. Sci. Comput., 2012)

Fast multi-particle scattering: A hybrid solver for the Maxwell equations in microstructured materials. - Zydrunas Gimbutas; Leslie Greengard (J. Comput. Phys., 2013)

Quadrature by expansion: A new method for the evaluation of layer potentials. - Andreas Klöckner; Alexander H. Barnett; Leslie Greengard; Michael O'Neil (J. Comput. Phys., 2013)

A fast multipole method for the Rotne-Prager-Yamakawa tensor and its applications. - Zhi Liang; Zydrunas Gimbutas; Leslie Greengard; Jingfang Huang; Shidong Jiang (J. Comput. Phys., 2013)

A fast, high-order solver for the Grad-Shafranov equation. - Andras Pataki; Antoine J. Cerfon; Jeffrey P. Freidberg; Leslie Greengard; Michael O'Neil (J. Comput. Phys., 2013)

On the Convergence of Local Expansions of Layer Potentials. - Charles L. Epstein; Leslie Greengard; Andreas Klöckner (SIAM J. Numer. Anal., 2013)

The solution of the scalar wave equation in the exterior of a sphere. - Leslie Greengard; Thomas M. Hagstrom; Shidong Jiang (J. Comput. Phys., 2014)

A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions. - Leslie Greengard; Kenneth L. Ho; June-Yub Lee (J. Comput. Phys., 2014)

Boundary integral equation analysis on the sphere. - Felipe Vico; Leslie Greengard; Zydrunas Gimbutas (Numerische Mathematik, 2014)

A Fast Semidirect Least Squares Algorithm for Hierarchically Block Separable Matrices. - Kenneth L. Ho; Leslie Greengard (SIAM J. Matrix Anal. Appl., 2014)

Norm-Preserving Discretization of Integral Equations for Elliptic PDEs with Internal Layers I: The One-Dimensional Case. - Travis Askham; Leslie Greengard (SIAM Rev., 2014)

Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT. - Shidong Jiang; Leslie Greengard; Weizhu Bao (SIAM J. Sci. Comput., 2014)

A Fast Direct Solver for High Frequency Scattering from a Large Cavity in Two Dimensions. - Jun Lai; Sivaram Ambikasaran; Leslie Greengard (SIAM J. Sci. Comput., 2014)

Efficient sum-of-exponentials approximations for the heat kernel and their applications. - Shidong Jiang; Leslie Greengard; Shaobo Wang (Adv. Comput. Math., 2015)

Validation of neural spike sorting algorithms without ground-truth information. - Alex H. Barnett; Jeremy F. Magland; Leslie Greengard (CoRR, 2015)

Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain. - Leslie Greengard; Thomas M. Hagstrom; Shidong Jiang (J. Comput. Phys., 2015)

Inverse Obstacle Scattering in Two Dimensions with Multiple Frequency Data and Multiple Angles of Incidence. - Carlos Borges; Leslie Greengard (SIAM J. Imaging Sci., 2015)

A fast multipole method for the evaluation of elastostatic fields in a half-space with zero normal stress. - Zydrunas Gimbutas; Leslie Greengard (Adv. Comput. Math., 2016)

Fast convolution with free-space Green's functions. - Felipe Vico; Leslie Greengard; Miguel Ferrando (J. Comput. Phys., 2016)

Fast Direct Methods for Gaussian Processes. - Sivaram Ambikasaran; Daniel Foreman-Mackey; Leslie Greengard; David W. Hogg; Michael O'Neil (IEEE Trans. Pattern Anal. Mach. Intell., 2016)

Integral Equation Methods for Elastance and Mobility Problems in Two Dimensions. - Manas Rachh; Leslie Greengard (SIAM J. Numer. Anal., 2016)

Fast, Adaptive, High-Order Accurate Discretization of the Lippmann-Schwinger Equation in Two Dimensions. - Sivaram Ambikasaran; Carlos Borges; Lise-Marie Imbert-Gérard; Leslie Greengard (SIAM J. Sci. Comput., 2016)

An integral equation formulation for rigid bodies in Stokes flow in three dimensions. - Eduardo Corona; Leslie Greengard; Manas Rachh; Shravan K. Veerapaneni (J. Comput. Phys., 2017)

Robust integral formulations for electromagnetic scattering from three-dimensional cavities. - Jun Lai; Leslie Greengard; Michael O'Neil (J. Comput. Phys., 2017)

Rapid Solution of the Cryo-EM Reconstruction Problem by Frequency Marching. - Alex H. Barnett; Leslie Greengard; Andras Pataki; Marina Spivak (SIAM J. Imaging Sci., 2017)

High Resolution Inverse Scattering in Two Dimensions Using Recursive Linearization. - Carlos Borges; Adrianna Gillman; Leslie Greengard (SIAM J. Imaging Sci., 2017)

A fluctuating boundary integral method for Brownian suspensions. - Yuanxun Bao; Manas Rachh; Eric E. Keaveny; Leslie Greengard; Aleksandar Donev (J. Comput. Phys., 2018)

The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions. - Leslie Greengard; Shidong Jiang; Yong Zhang 005 (SIAM J. Sci. Comput., 2018)

An Adaptive Fast Gauss Transform in Two Dimensions. - Jun Wang 082; Leslie Greengard (SIAM J. Sci. Comput., 2018)

Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions. - Jun Wang 082; Leslie Greengard (Adv. Comput. Math., 2019)

Fast integral equation methods for linear and semilinear heat equations in moving domains. - Jun Wang 082; Leslie Greengard; Shidong Jiang; Shravan K. Veerapaneni (CoRR, 2019)

A high-order wideband direct solver for electromagnetic scattering from bodies of revolution. - Charles L. Epstein; Leslie Greengard; Michael O'Neil (J. Comput. Phys., 2019)

Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media. - Lise-Marie Imbert-Gérard; Felipe Vico; Leslie Greengard; Miguel Ferrando (SIAM J. Numer. Anal., 2019)

A New Mixed Potential Representation for Unsteady, Incompressible Flow. - Leslie Greengard; Shidong Jiang (SIAM Rev., 2019)

On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries. - Leslie Greengard; Shidong Jiang; Jun Wang 082 (Adv. Comput. Math., 2020)

A high-order integral equation-based solver for the time-dependent Schrodinger equation. - Jason Kaye; Alex H. Barnett; Leslie Greengard (CoRR, 2020)

High-order discretization of a stable time-domain integral equation for 3D acoustic scattering. - Alex H. Barnett; Leslie Greengard; Thomas M. Hagstrom (J. Comput. Phys., 2020)

A fast solver for the narrow capture and narrow escape problems in the sphere. - Jason Kaye; Leslie Greengard (J. Comput. Phys. X, 2020)

A Fast Boundary Integral Method for High-Order Multiscale Mesh Generation. - Felipe Vico; Leslie Greengard; Michael O'Neil; Manas Rachh (SIAM J. Sci. Comput., 2020)

A fast spectral method for electrostatics in doubly-periodic slit channels. - Ondrej Maxian; Raúl P. Peláez; Leslie Greengard; Aleksandar Donev (CoRR, 2021)

Periodic Fast Multipole Method. - Ruqi Pei; Travis Askham; Leslie Greengard; Shidong Jiang (CoRR, 2021)

Fast multipole methods for the evaluation of layer potentials with locally-corrected quadratures. - Leslie Greengard; Michael O'Neil; Manas Rachh; Felipe Vico (J. Comput. Phys. X, 2021)

Recovering Missing Data in Coherent Diffraction Imaging. - David A. Barmherzig; Alex H. Barnett; Charles L. Epstein; Leslie F. Greengard; Jeremy F. Magland; Manas Rachh (SIAM J. Imaging Sci., 2021)

Robust ab initio solution of the cryo-EM reconstruction problem at low resolution with small data sets. - Aaditya V. Rangan; Leslie Greengard (CoRR, 2022)

Eliminating artificial boundary conditions in time-dependent density functional theory using Fourier contour deformation. - Jason Kaye; Alex H. Barnett; Leslie Greengard; Umberto De Giovannini; Angel Rubio (CoRR, 2022)

On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary. - Carlos Borges; Manas Rachh; Leslie Greengard (CoRR, 2022)

Forced and spontaneous symmetry breaking in cell polarization. - Pearson W. Miller; Daniel Fortunato; Cyrill B. Muratov; Leslie Greengard; Stanislav Y. Shvartsman (Nat. Comput. Sci., 2022)

Author Correction: Forced and spontaneous symmetry breaking in cell polarization. - Pearson W. Miller; Daniel Fortunato; Cyrill B. Muratov; Leslie Greengard; Stanislav Y. Shvartsman (Nat. Comput. Sci., 2022)

Fast adaptive high-order integral equation methods for electromagnetic scattering from smooth perfect electric conductors. - Felipe Vico; Leslie Greengard; Michael O'Neil; Manas Rachh (CoRR, 2023)

A Dual-space Multilevel Kernel-splitting Framework for Discrete and Continuous Convolution. - Leslie Greengard; Shidong Jiang (CoRR, 2023)

A fast method for imposing periodic boundary conditions on arbitrarily-shaped lattices in two dimensions. - Ruqi Pei; Travis Askham; Leslie Greengard; Shidong Jiang (J. Comput. Phys., 2023)

An FMM Accelerated Poisson Solver for Complicated Geometries in the Plane Using Function Extension. - Fredrik Fryklund; Leslie Greengard (SIAM J. Sci. Comput., 2023)

FMM-LU: A Fast Direct Solver for Multiscale Boundary Integral Equations in Three Dimensions. - Daria Sushnikova; Leslie Greengard; Michael O'Neil; Manas Rachh (Multiscale Model. Simul., 2023)

Coordinate complexification for the Helmholtz equation with Dirichlet boundary conditions in a perturbed half-space. - Charles L. Epstein; Leslie Greengard; Jeremy G. Hoskins; Shidong Jiang; Manas Rachh (CoRR, 2024)

A Lightweight, Geometrically Flexible Fast Algorithm for the Evaluation of Layer and Volume Potentials. - Fredrik Fryklund; Leslie Greengard; Shidong Jiang; Samuel Potter (CoRR, 2024)

A New Version of the Adaptive Fast Gauss Transform for Discrete and Continuous Sources. - Leslie F. Greengard; Shidong Jiang; Manas Rachh; Jun Wang 082 (SIAM Rev., 2024)

On the Construction of Scattering Matrices for Irregular or Elongated Enclosures Using Green's Representation Formula. - Carlos Borges; Leslie Greengard; Michael O'Neil; Manas Rachh (J. Sci. Comput., 2025)

Accelerating Fast Ewald Summation with Prolates for Molecular Dynamics Simulations. - Jiuyang Liang; Libin Lu; Alex H. Barnett; Leslie Greengard; Shidong Jiang (CoRR, 2025)

A fast algorithm for the wave equation using time-windowed Fourier projection. - Nour G. Al Hassanieh; Alex H. Barnett; Leslie Greengard (CoRR, 2025)