Leslie Greengard
#13,245
Most Influential Person Now
American physician, mathematician and academic
Leslie Greengard's AcademicInfluence.com Rankings
Leslie Greengardmathematics Degrees
Mathematics
#2294
World Rank
#3566
Historical Rank
#912
USA Rank
Applied Mathematics
#94
World Rank
#107
Historical Rank
#47
USA Rank
Leslie Greengardphilosophy Degrees
Philosophy
#5150
World Rank
#7880
Historical Rank
#1389
USA Rank
Logic
#2831
World Rank
#3890
Historical Rank
#632
USA Rank
Download Badge
Mathematics Philosophy
Leslie Greengard's Degrees
- Doctorate Medicine New York University
Why Is Leslie Greengard Influential?
(Suggest an Edit or Addition)According to Wikipedia, Leslie Frederick Greengard is an American mathematician, physicist and computer scientist. He is co-inventor with Vladimir Rokhlin Jr. of the fast multipole method in 1987, recognized as one of the top-ten algorithms of the 20th century.
Leslie Greengard's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- A fast algorithm for particle simulations (1987) (4977)
- The Rapid Evaluation of Potential Fields in Particle Systems (1988) (1268)
- A new version of the Fast Multipole Method for the Laplace equation in three dimensions (1997) (891)
- Accelerating the Nonuniform Fast Fourier Transform (2004) (682)
- Regular Article: A Fast Adaptive Multipole Algorithm in Three Dimensions (1999) (668)
- The Fast Gauss Transform (1991) (548)
- Spectral Deferred Correction Methods for Ordinary Differential Equations (2000) (411)
- Fast Direct Methods for Gaussian Processes (2014) (325)
- Fast Algorithms for Classical Physics (1994) (323)
- A Fast Adaptive Multipole Algorithm for Particle Simulations (1988) (309)
- A wideband fast multipole method for the Helmholtz equation in three dimensions (2006) (295)
- A Fully Automated Approach to Spike Sorting (2017) (292)
- A short course on fast multipole methods (1997) (276)
- Accelerating fast multipole methods for the Helmholtz equation at low frequencies (1998) (266)
- Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation (2000) (202)
- A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization (2011) (193)
- Quadrature by expansion: A new method for the evaluation of layer potentials (2012) (189)
- High-Density, Long-Lasting, and Multi-region Electrophysiological Recordings Using Polymer Electrode Arrays (2018) (185)
- A Parallel Version of the Fast Multipole Method-Invited Talk (1987) (176)
- Fast direct solvers for integral equations in complex three-dimensional domains (2009) (173)
- Spectral integration and two-point boundary value problems (1991) (172)
- Plasmon-assisted chemical vapor deposition. (2006) (153)
- Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation (2002) (151)
- Integral Equation Methods for Stokes Flow and Isotropic Elasticity in the Plane (1996) (151)
- A Fast Poisson Solver for Complex Geometries (1995) (145)
- Short Note: The type 3 nonuniform FFT and its applications (2005) (140)
- A new version of the fast multipole method for screened Coulomb interactions in three dimensions (2002) (137)
- A fast algorithm for the evaluation of heat potentials (1990) (126)
- The type 3 nonuniform FFT and its applications June - (2005) (126)
- A New Fast-Multipole Accelerated Poisson Solver in Two Dimensions (2001) (109)
- On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites (1998) (106)
- A Direct Adaptive Poisson Solver of Arbitrary Order Accuracy (1996) (94)
- The numerical solution of the N-body problem (1990) (92)
- A renormalization method for the evaluation of lattice sums (1994) (91)
- A fast multipole method for the three-dimensional Stokes equations (2008) (85)
- A new version of the fast Gauss transform. (1998) (84)
- Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension (2004) (83)
- Spectral Approximation of the Free-Space Heat Kernel (2000) (83)
- On the numerical evaluation of electrostatic fields in composite materials (1994) (73)
- The Decoupled Potential Integral Equation for Time‐Harmonic Electromagnetic Scattering (2014) (70)
- A fast and stable method for rotating spherical harmonic expansions (2009) (69)
- On the Numerical Solution of Two-Point Boundary Value Problems (1991) (69)
- Fast convolution with free-space Green's functions (2016) (69)
- On the numerical solution of the biharmonic equation in the plane (1992) (67)
- A new integral representation for quasi-periodic scattering problems in two dimensions (2011) (66)
- Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations II (2008) (66)
- A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations (2010) (61)
- On the Efficient Implementation of the Fast Multipole Algorithm. (1988) (61)
- A Fast Adaptive Numerical Method for Stiff Two-Point Boundary Value Problems (1997) (60)
- Visualizing skin effects in conductors with MRI: (7)Li MRI experiments and calculations. (2014) (58)
- A Method of Images for the Evaluation of Electrostatic Fields in Systems of Closely Spaced Conducting Cylinders (1998) (56)
- Efficient representation of nonreflecting boundary conditions for the time‐dependent Schrödinger equation in two dimensions (2008) (54)
- A free-space adaptive fmm-based pde solver in three dimensions (2011) (53)
- Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT (2013) (48)
- On the numerical solution of the heat equation I: Fast solvers in free space (2007) (48)
- On the Convergence of Local Expansions of Layer Potentials (2012) (48)
- Laplace's Equation and the Dirichlet-Neumann Map in Multiply Connected Domains (2015) (48)
- Fast multi-particle scattering: A hybrid solver for the Maxwell equations in microstructured materials (2011) (47)
- An Integral Equation Approach to the Incompressible Navier-Stokes Equations in Two Dimensions (1998) (46)
- A fast multipole method for the Rotne-Prager-Yamakawa tensor and its applications (2013) (43)
- The Fast Generalized Gauss Transform (2010) (41)
- Fast, accurate integral equation methods for the analysis of photonic crystal fibers I: Theory. (2004) (40)
- On the evaluation of electrostatic interactions in molecular modeling (1988) (40)
- Rapid Solution of the Cryo-EM Reconstruction Problem by Frequency Marching (2016) (40)
- Validation of neural spike sorting algorithms without ground-truth information (2015) (39)
- A Fast Direct Solver for Elliptic Partial Differential Equations on Adaptively Refined Meshes (1999) (38)
- Integral equation methods for Stokes flow in doubly-periodic domains (2004) (38)
- A Fast Direct Solver for High Frequency Scattering from a Large Cavity in Two Dimensions (2014) (37)
- A mathematical tool for exploring the dynamics of biological networks (2007) (37)
- An Integral Evolution Formula for the Wave Equation (2000) (37)
- On the Numerical Evaluation of Electrostatic Fields in Dense Random Dispersions of Cylinders (1997) (36)
- High Order Accurate Methods for the Evaluation of Layer Heat Potentials (2009) (36)
- A fast, high-order solver for the Grad-Shafranov equation (2012) (33)
- On the efficient representation of the half-space impedance Green’s function for the Helmholtz equation (2011) (33)
- An integral equation formulation for rigid bodies in Stokes flow in three dimensions (2016) (32)
- Electrostatics and heat conduction in high contrast composite materials (2006) (32)
- Debye sources and the numerical solution of the time harmonic Maxwell equations (2010) (32)
- The fast mutipole method for gridless particle simulation. (1987) (30)
- Remarks on the implementation of wideband FMM for the Helmholtz equation in two dimensions (2006) (30)
- Overcoming Low-Frequency Breakdown of the Magnetic Field Integral Equation (2013) (30)
- Boundary integral equation analysis on the sphere (2014) (30)
- Analytic continuation, singular-value expansions, and Kramers-Kronig analysis (2001) (29)
- Computational Software: Simple FMM Libraries for Electrostatics, Slow Viscous Flow, and Frequency-Domain Wave Propagation (2015) (29)
- Stable and accurate integral equation methods for scattering problems with multiple material interfaces in two dimensions (2012) (29)
- Fast Direct Methods for Gaussian Processes and the Analysis of NASA Kepler Mission Data (2014) (28)
- THE FAST SINC TRANSFORM AND IMAGE RECONSTRUCTION FROM NONUNIFORM SAMPLES IN k-SPACE (2006) (27)
- On the stability of time-domain integral equations for acoustic wave propagation (2015) (27)
- Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator (2011) (26)
- Whole-volume integrated gyrokinetic simulation of plasma turbulence in realistic diverted-tokamak geometry (2009) (26)
- A fast solver for multi-particle scattering in a layered medium. (2014) (26)
- Fast, Adaptive, High-Order Accurate Discretization of the Lippmann-Schwinger Equation in Two Dimensions (2015) (25)
- Randomized methods for rank-deficient linear systems (2014) (25)
- High Resolution Inverse Scattering in Two Dimensions Using Recursive Linearization (2016) (25)
- Fast multipole methods for evaluation of layer potentials with locally-corrected quadratures (2020) (24)
- Integral Equation Methods for Unsteady Stokes Flow in Two Dimensions (2012) (24)
- Geometry of the phase retrieval problem (2018) (24)
- Efficient sum-of-exponentials approximations for the heat kernel and their applications (2013) (23)
- Toward a first-principles integrated simulation of tokamak edge plasmas (2008) (22)
- On the accurate calculation of vortex shedding (1990) (22)
- Coulomb Interactions on Planar Structures: Inverting the Square Root of the Laplacian (2000) (22)
- Simple and efficient representations for the fundamental solutions of Stokes flow in a half-space (2015) (21)
- A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions (2013) (21)
- High order marching schemes for the wave equation in complex geometry (2004) (19)
- Inverse Obstacle Scattering in Two Dimensions with Multiple Frequency Data and Multiple Angles of Incidence (2014) (17)
- Integral Equation Methods for Elastance and Mobility Problems in Two Dimensions (2015) (17)
- Sensitivity analysis of photonic crystal fiber. (2004) (16)
- Potential Flow in Channels (1990) (16)
- On the Calculation of Displacement, Stress, and Strain Induced by Triangular Dislocations (2012) (16)
- Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles (2017) (16)
- A fluctuating boundary integral method for Brownian suspensions (2017) (14)
- A high-order wideband direct solver for electromagnetic scattering from bodies of revolution (2017) (14)
- A Consistency Condition for the Vector Potential in Multiply-Connected Domains (2012) (14)
- The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions (2018) (13)
- Robust integral formulations for electromagnetic scattering from three-dimensional cavities (2016) (13)
- Pseudo‐Spectral Methods for the Laplace‐Beltrami Equation and the Hodge Decomposition on Surfaces of Genus One (2016) (13)
- High-order discretization of a stable time-domain integral equation for 3D acoustic scattering (2019) (12)
- Fast Multipole Methods (1998) (12)
- A polymer probe-based system for high density, long-lasting electrophysiological recordings across distributed neuronal circuits (2018) (12)
- The solution of the scalar wave equation in the exterior of a sphere (2013) (11)
- A new hybrid integral representation for frequency domain scattering in layered media (2015) (11)
- A Fast Semidirect Least Squares Algorithm for Hierarchically Block Separable Matrices (2012) (11)
- A mesh-free approach to acoustic scattering from multiple spheres nested inside a large sphere by using diagonal translation operators. (2010) (11)
- Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields (2013) (11)
- Spectral edge detection in two dimensions using wavefronts (2009) (10)
- A fast spectral method for electrostatics in doubly-periodic slit channels (2021) (10)
- A numerical study of the ζ2 parameter for random suspensions of disks (1995) (9)
- An Adaptive Fast Gauss Transform in Two Dimensions (2017) (9)
- Strongly consistent marching schemes for the wave equation (2003) (8)
- A fast solver for the narrow capture and narrow escape problems in the sphere (2019) (8)
- A fast boundary integral method for high-order multiscale mesh generation (2019) (8)
- Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions (2018) (7)
- Forced and spontaneous symmetry breaking in cell polarization (2022) (7)
- Transparent Boundary Conditions for the Time-Dependent Schr\"odinger Equation with a Vector Potential (2018) (7)
- Integrated particle simulation of neoclassical and turbulence physics in the tokamak pedestal/edge region using XGC (2007) (7)
- A Fast Summation Method for Oscillatory Lattice Sums. (2016) (7)
- Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain (2015) (7)
- A new mixed potential representation for the equations of unsteady, incompressible flow (2018) (6)
- Fast integral equation methods for linear and semilinear heat equations in moving domains (2019) (5)
- Norm-Preserving Discretization of Integral Equations for Elliptic PDEs with Internal Layers I: The One-Dimensional Case (2013) (5)
- A High‐Order Integral Equation‐Based Solver for the Time‐Dependent Schrödinger Equation (2020) (5)
- On the numerical solution of the heat equation I: propagation in unbounded domains (4)
- Accurate boundary treatments for Maxwell's equations and their computational complexity (1998) (4)
- Recovering missing data in coherent diffraction imaging (2020) (4)
- Explicit unconditionally stable methods for the heat equation via potential theory (2019) (4)
- Fast , Optimal Weighting for Image Reconstruction from Arbitrary k-Space Trajectories (2005) (4)
- Fast algorithms for volume integrals in potential theory (2000) (4)
- Conclusions and Applications (2003) (3)
- Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media (2018) (3)
- Integral Equations Methods: Fast Algorithms and Applications (2014) (3)
- On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries (2018) (3)
- Fast algorithms for composite materials (1995) (2)
- Differentiable Cosmological Simulation with Adjoint Method (2022) (2)
- 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) (2008) (2)
- A New Mixed Potential Representation for Unsteady, Incompressible Flow (2019) (2)
- The Fast Multiple Method for Gridless Particle Simulations. (1987) (2)
- Fast direct methods for molecular electrostatics (2012) (2)
- Eliminating artificial boundary conditions in time-dependent density functional theory using Fourier contour deformation (2022) (2)
- A fast multipole method for the evaluation of elastostatic fields in a half-space with zero normal stress (2014) (1)
- An Augmented Regularized Combined Source Integral Equation for Nonconforming Meshes (2019) (1)
- Reconstructing Curves from Points and Tangents (2009) (1)
- FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions (2022) (1)
- Robust high-order numerical scattering from multi-layer dielectric gratings using a new integral representation for quasi-periodic fields (2011) (1)
- Modern Advances in Computational and Applied Mathematics : A workshop in honor of the birthdays of (2017) (0)
- Efficient sum-of-exponentials approximations for the heat kernel and their applications (2014) (0)
- Author Correction: Forced and spontaneous symmetry breaking in cell polarization (2022) (0)
- A fast direct solver for structured matrices (2011) (0)
- Time-Domain Algorithms for Computational Electromagnetics (2004) (0)
- A General Trajectory Tester (2009) (0)
- Status of edge gyrokinetic turbulence simulation in XGC1 (2007) (0)
- Fast algorithms for vortex methods (1988) (0)
- Robust ab initio solution of the cryo-EM reconstruction problem at low resolution with small data sets (2022) (0)
- On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries (2020) (0)
- Periodic Fast Multipole Method (2021) (0)
- Potential Fields in Three Dimensions (2003) (0)
- On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary (2022) (0)
- A new nonlinear collision method for a particle code (2007) (0)
- Solving the Poisson Equation on a Surface by Reduction to a 1-Dimensional Problem (2010) (0)
- Boundary integral equation analysis on the sphere (2014) (0)
- Editorial (2011) (0)
- Fast Potential Theory and Large-Scale Simulation (1998) (0)
- An FMM Accelerated Poisson Solver for Complicated Geometries in the Plane using Function Extension (2022) (0)
- Computational Model Optimization for Enzyme Design Applications (2004) (0)
- The Mathematics of Cathleen Synge Morawetz (2018) (0)
- Challenges in Geometry , Analysis and Computation : High Dimensional Synthesis (2012) (0)
- A fast multipole method for the evaluation of elastostatic fields in a half-space with zero normal stress (2015) (0)
- Potential Fields in Two Dimensions (2003) (0)
- A Fast Adaptive Multiple Algorithm for Particle Simulations. Revision (1987) (0)
- 978-1316-51887-8 — Geometry of the Phase Retrieval Problem (0)
- A Fast Multipole Method based Grad-Shafranov solver (2014) (0)
- Novel Methods for Electromagnetic Simulation and Design (2016) (0)
- pmwd: A Differentiable Cosmological Particle-Mesh $N$-body Library (2022) (0)
- Potential of fast multipole method for mesoscale and multiscale brain modeling: applicability to EEG, MEG, TES, TMS, and DBS (2023) (0)
- fOlICAILE-G OPi I ' , tN On the Efficient ImplementationN of the Fast Multipole Algorithm U (0)
- A fast method for imposing periodic boundary conditions on arbitrarily-shaped lattices in two dimensions (2022) (0)
- Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions (2018) (0)
- Progress on a new Fast Multipole Method based Grad-Shafranov solvers (2013) (0)
- THIS DOCUMENT IS BEST QUALITY AVAILABLE. THE COPY FURNISHED TO DTIC CONTAINED A SIGNIFICANT NUMBER OF PAGES WHICH DO NOT REPRODUCE LEGIBLY (0)
- Fast and accurate computation of layer heat potentials (2009) (0)
This paper list is powered by the following services:
Other Resources About Leslie Greengard
What Schools Are Affiliated With Leslie Greengard?
Leslie Greengard is affiliated with the following schools:
