What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (51.89%)
- Integral equation (33.49%)
- Discretization (20.75%)
What were the highlights of his more recent work (between 2017-2021)?
- Integral equation (33.49%)
- Mathematical analysis (51.89%)
- Discretization (20.75%)
In recent papers he was focusing on the following fields of study:
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.
Between 2017 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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