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- Leslie Greengard

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
50
Citations
21,116
159
World Ranking
767
National Ranking
384

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

- Mathematical analysis
- Quantum mechanics
- Partial differential equation

His primary areas of study are Mathematical analysis, Fast multipole method, Multipole expansion, Integral equation and Boundary value problem. His Mathematical analysis study frequently draws connections to other fields, such as Order. His biological study spans a wide range of topics, including Gravitation, Computation, Plane wave and Laplace's equation.

The concepts of his Multipole expansion study are interwoven with issues in Diagonal form, Helmholtz equation, Potential theory and Partial differential equation. His Integral equation research is multidisciplinary, incorporating perspectives in Quadrature, Interpolative decomposition, Applied mathematics and Clenshaw–Curtis quadrature. His Statistical physics research includes themes of Truncation, Particle Mesh and Round-off error.

- A fast algorithm for particle simulations (3986 citations)
- The Rapid Evaluation of Potential Fields in Particle Systems (870 citations)
- A new version of the Fast Multipole Method for the Laplace equation in three dimensions (741 citations)

Leslie Greengard mainly investigates Mathematical analysis, Integral equation, Discretization, Fast multipole method and Applied mathematics. His studies in Mathematical analysis integrate themes in fields like Function, Quadrature and Boundary. His Integral equation study incorporates themes from Scattering, Field, Partial differential equation, Heat equation and Solver.

His work deals with themes such as Fast Fourier transform and Linear system, which intersect with Discretization. His Fast multipole method study is concerned with Multipole expansion in general. The Applied mathematics study combines topics in areas such as Laplace transform, Matrix, Helmholtz free energy, Order of accuracy and Gaussian.

- Mathematical analysis (51.89%)
- Integral equation (33.49%)
- Discretization (20.75%)

- Integral equation (33.49%)
- Mathematical analysis (51.89%)
- Discretization (20.75%)

Leslie Greengard spends much of his time researching Integral equation, Mathematical analysis, Discretization, Boundary value problem and Applied mathematics. Leslie Greengard has researched Integral equation in several fields, including Fast Fourier transform, Solver, Maxwell's equations and Frequency domain. His Mathematical analysis research includes elements of Electrostatics, Boundary, Brownian motion and Fast multipole method.

His Discretization study combines topics in areas such as Singular integral, Gravitational singularity, Preconditioner, Nyström method and Adaptive mesh refinement. His Boundary value problem study combines topics from a wide range of disciplines, such as Volterra integral equation, Fourier transform, Domain and Poisson's equation. Leslie Greengard combines subjects such as Heat equation, Spacetime, Scalar, Visualization and Gaussian with his study of Applied mathematics.

- High-Density, Long-Lasting, and Multi-region Electrophysiological Recordings Using Polymer Electrode Arrays. (101 citations)
- An adaptive fast gauss transform in two dimensions (10 citations)
- A new hybrid integral representation for frequency domain scattering in layered media (10 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

The scientist’s investigation covers issues in Integral equation, Mathematical analysis, Biological neural network, Electrophysiology and Fourier transform. His Integral equation study integrates concerns from other disciplines, such as Method of images, Scattering, Maxwell's equations, Discretization and Fourier analysis. His study in Discretization is interdisciplinary in nature, drawing from both Linear system, Boundary value problem, Boundary, Frequency domain and Methods of contour integration.

His Boundary value problem research integrates issues from Solver, Preconditioner, Perfect conductor and Fast multipole method. His Mathematical analysis research incorporates themes from Adaptive mesh refinement, Fast Fourier transform, Electromagnetic field and Debye. He interconnects Invariant, Kernel method, Green S, Free space and Anisotropy in the investigation of issues within Fourier transform.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

A fast algorithm for particle simulations

L. Greengard;V. Rokhlin.

Journal of Computational Physics **(1987)**

6228 Citations

The Rapid Evaluation of Potential Fields in Particle Systems

Leslie Frederick Greengard.

**(1988)**

1691 Citations

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

Leslie Greengard;Vladimir Rokhlin.

Acta Numerica **(1997)**

1085 Citations

A Fast Adaptive Multipole Algorithm for Particle Simulations

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

Siam Journal on Scientific and Statistical Computing **(1988)**

940 Citations

Regular Article: A Fast Adaptive Multipole Algorithm in Three Dimensions

H. Cheng;L. Greengard;V. Rokhlin.

Journal of Computational Physics **(1999)**

907 Citations

Accelerating the Nonuniform Fast Fourier Transform

Leslie Greengard;June Yub Lee.

Siam Review **(2004)**

771 Citations

The Fast Gauss Transform.

Leslie Greengard;John Strain.

SIAM Journal on Scientific Computing **(1991)**

715 Citations

Fast Direct Methods for Gaussian Processes

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

IEEE Transactions on Pattern Analysis and Machine Intelligence **(2016)**

470 Citations

Spectral Deferred Correction Methods for Ordinary Differential Equations

Alok Dutt;Leslie Greengard;Vladimir Rokhlin.

Bit Numerical Mathematics **(1998)**

453 Citations

Fast Algorithms for Classical Physics

Leslie Greengard.

Science **(1994)**

377 Citations

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