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D-Index & Metrics

Mathematics

D-Index
54
Citations
23541
World Ranking
808
National Ranking
392

Research.com Recognitions

  • 2016 - Fellow of the American Academy of Arts and Sciences
  • 2014 - John von Neumann Lecturer
  • 2009 - SIAM Fellow For creation of the Fast Multipole Method and other fast algorithms.
  • 2006 - Member of the National Academy of Engineering For work on the development of algorithms and software for fast multipole methods.
  • 2006 - Member of the National Academy of Sciences
  • 2001 - Steele Prize for Seminal Contribution to Research

Overview

Leslie Greengard is affiliated with New York University in the United States. Their research spans multiple areas within physics, engineering, and computational methods, with a significant focus on numerical algorithms and physical simulations.

The primary fields of study for Greengard include Physics and Astronomy as well as Engineering. More specific subfields covered in their work are Atomic and Molecular Physics, and Optics; Electrical and Electronic Engineering; Radiation; Computational Theory and Mathematics; and Biomedical Engineering.

Greengard's research topics include:

  • Electromagnetic Scattering and Analysis
  • Electromagnetic Simulation and Numerical Methods
  • Advanced X-ray Imaging Techniques
  • Electron and X-Ray Spectroscopy Techniques
  • Geophysical Methods and Applications
  • Microwave Imaging and Scattering Analysis
  • Numerical methods in inverse problems

The scientist has published extensively, with recent papers including:

  • "Differentiable Cosmological Simulation with the Adjoint Method", 2024, published in The Astrophysical Journal Supplement Series
  • "Geometry of the Phase Retrieval Problem", 2022, published by Cambridge University Press eBooks
  • "pmwd: A Differentiable Cosmological Particle-Mesh $N$-body Library", 2022, on arXiv (Cornell University)
  • "A fast spectral method for electrostatics in doubly periodic slit channels", 2021, in The Journal of Chemical Physics
  • "Geometry of the phase retrieval problem", 2020, in Inverse Problems

The most frequent publication venues for Greengard's work include:

  • arXiv (Cornell University)
  • Inverse Problems
  • Journal of Computational Physics
  • Nature Computational Science
  • Communications on Pure and Applied Mathematics

Collaboration is a notable aspect of Greengard's career, with frequent co-authors being:

  • Charles L. Epstein
  • Jeremy F. Magland
  • Alexander H. Barnett
  • Manas Rachh
  • Shidong Jiang

Leslie Greengard has received several awards and distinctions, including:

  • Fellow of the American Academy of Arts and Sciences (2016)
  • John von Neumann Lecturer (2014)
  • SIAM Fellow (2009) for creation of the Fast Multipole Method and other fast algorithms
  • Member of the National Academy of Engineering (2006) for development of algorithms and software for fast multipole methods
  • Member of the National Academy of Sciences (2006)
  • Steele Prize for Seminal Contribution to Research (2001)

Best Publications

  • A fast algorithm for particle simulations

    L. Greengard;V. Rokhlin

  • The Rapid Evaluation of Potential Fields in Particle Systems

    Leslie Frederick Greengard

  • A new version of the Fast Multipole Method for the Laplace equation in three dimensions

    Leslie Greengard;Vladimir Rokhlin

  • A Fast Adaptive Multipole Algorithm for Particle Simulations

    J. Carrier;L. Greengard;V. Rokhlin;V. Rokhlin

  • Regular Article: A Fast Adaptive Multipole Algorithm in Three Dimensions

    H. Cheng;L. Greengard;V. Rokhlin

  • Accelerating the Nonuniform Fast Fourier Transform

    Leslie Greengard;June Yub Lee

  • The Fast Gauss Transform.

    Leslie Greengard;John Strain

  • Fast Direct Methods for Gaussian Processes

    Sivaram Ambikasaran;Daniel Foreman-Mackey;Leslie Greengard;David W. Hogg

  • Spectral Deferred Correction Methods for Ordinary Differential Equations

    Alok Dutt;Leslie Greengard;Vladimir Rokhlin

  • Fast Algorithms for Classical Physics

    Leslie Greengard

  • A short course on fast multipole methods

    R Beatson;Leslie Greengard

  • A wideband fast multipole method for the Helmholtz equation in three dimensions

    Hongwei Cheng;William Y. Crutchfield;Zydrunas Gimbutas;Leslie F. Greengard

  • Accelerating fast multipole methods for the Helmholtz equation at low frequencies

    L. Greengard;Jingfang Huang;V. Rokhlin;S. Wandzura

  • Quadrature by expansion

    Andreas Klöckner;Alexander Barnett;Leslie Greengard;Michael O'Neil

  • Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation

    Bradley Alpert;Leslie Greengard;Thomas Hagstrom

  • Short Note: The type 3 nonuniform FFT and its applications

    June-Yub Lee;Leslie Greengard

  • A Parallel Version of the Fast Multipole Method

    Leslie Greengard;William D. Gropp

  • A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization

    Kenneth L. Ho;Leslie Greengard

  • Fast direct solvers for integral equations in complex three-dimensional domains

    Leslie Greengard;Denis Gueyffier;Per Gunnar Martinsson;Vladimir Rokhlin

  • Spectral integration and two-point boundary value problems

    L. Greengard

Frequent Co-Authors

Vladimir Rokhlin
Vladimir Rokhlin Yale University
Thomas Hagstrom
Thomas Hagstrom Southern Methodist University
Loren M. Frank
Loren M. Frank University of California, San Francisco
Denis Zorin
Denis Zorin New York University
David E. Keyes
David E. Keyes King Abdullah University of Science and Technology
Scott Klasky
Scott Klasky Oak Ridge National Laboratory
William Gropp
William Gropp University of Illinois at Urbana-Champaign
Angus C. Nairn
Angus C. Nairn Yale University
David W. Hogg
David W. Hogg Max Planck Society
Clare P. Grey
Clare P. Grey University of Cambridge

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