World's Best Scientists 2026 revealed!
Vladimir Rokhlin

Vladimir Rokhlin

D-Index & Metrics

Mathematics

D-Index
61
Citations
31609
World Ranking
495
National Ranking
257

Research.com Recognitions

  • 2016 - Fellow of the American Academy of Arts and Sciences
  • 2009 - SIAM Fellow For creation of the Fast Multipole Method and other fast algorithms.
  • 2008 - Member of the National Academy of Engineering For the development of fast multipole algorithms and their application to electromagnetic and acoustic scattering.
  • 2001 - Steele Prize for Seminal Contribution to Research
  • 1999 - Member of the National Academy of Sciences

Overview

Vladimir Rokhlin is affiliated with Yale University in the United States and has a research focus spanning multiple fields, including engineering, physics and astronomy, and computer science. Their work is particularly concentrated in the subfields of atomic and molecular physics, and optics, electrical and electronic engineering, computational theory and mathematics, aerospace engineering, and biomedical engineering.

Their research covers several key topics, such as electromagnetic scattering and analysis, electromagnetic simulation and numerical methods, matrix theory and algorithms, microwave imaging and scattering analysis, polynomial and algebraic computation, image and signal denoising methods, and geophysical methods and applications.

Rokhlin has contributed to various publication venues, frequently appearing in arXiv (Cornell University) with eight publications, Applied and Computational Harmonic Analysis with two, as well as the Journal of Computational Physics, Advances in Computational Mathematics, and Contemporary Mathematics - American Mathematical Society.

Recent papers include:

  • Fullwave design of cm-scale cylindrical metasurfaces via fast direct solvers, 2023, arXiv (Cornell University)
  • On the efficient evaluation of the azimuthal Fourier components of the Green's function for Helmholtz's equation in cylindrical coordinates, 2022, Journal of Computational Physics
  • A fast simple algorithm for computing the potential of charges on a line, 2020, Applied and Computational Harmonic Analysis
  • A fast procedure for the construction of quadrature formulas for bandlimited functions, 2023, Applied and Computational Harmonic Analysis
  • Teaching mathematics to non-mathematicians, 2021, Contemporary Mathematics - American Mathematical Society

The scientist has collaborated frequently with several coauthors, including Kirill Serkh, James Garritano, Yuval Kluger, Jeremy G. Hoskins, and Abinand Gopal.

Awards received by Rokhlin include:

  • Fellow of the American Academy of Arts and Sciences, 2016
  • SIAM Fellow, 2009, for creation of the Fast Multipole Method and other fast algorithms
  • Member of the National Academy of Engineering, 2008, for the development of fast multipole algorithms and their application to electromagnetic and acoustic scattering
  • Steele Prize for Seminal Contribution to Research, 2001
  • Member of the National Academy of Sciences, 1999

Best Publications

  • A fast algorithm for particle simulations

    L. Greengard;V. Rokhlin

  • Fast wavelet transforms and numerical algorithms I

    G. Beylkin;R. Coifman;V. Rokhlin

  • Rapid solution of integral equations of classical potential theory

    V Rokhlin

  • The fast multipole method for the wave equation: a pedestrian prescription

    R. Coifman;V. Rokhlin;S. Wandzura

  • Fast Fourier transforms for nonequispaced data

    A. Dutt;V. Rokhlin

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

    Leslie Greengard;Vladimir Rokhlin

  • Rapid solution of integral equations of scattering theory in two dimensions

    V. 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

  • Randomized algorithms for the low-rank approximation of matrices

    Edo Liberty;Franco Woolfe;Per-Gunnar Martinsson;Vladimir Rokhlin

  • Diagonal Forms of Translation Operators for the Helmholtz Equation in Three Dimensions

    V. Rokhlin

  • Wavelet-like bases for the fast solutions of second-kind integral equations

    B. Alpert;G. Beylkin;R. Coifman;V. Rokhlin

  • The fast multipole method (FMM) for electromagnetic scattering problems

    N. Engheta;W.D. Murphy;V. Rokhlin;M.S. Vassiliou

  • Spectral Deferred Correction Methods for Ordinary Differential Equations

    Alok Dutt;Leslie Greengard;Vladimir Rokhlin

  • A Randomized Algorithm for Principal Component Analysis

    Vladimir Rokhlin;Arthur Szlam;Mark Tygert

  • A randomized algorithm for the decomposition of matrices

    Per-Gunnar Martinsson;Vladimir Rokhlin;Mark Tygert

  • A fast randomized algorithm for the approximation of matrices ✩

    Unknown

  • Generalized Gaussian quadrature rules for systems of arbitrary functions

    J. Ma;V. Rokhlin;S. Wandzura

  • On the Compression of Low Rank Matrices

    H. Cheng;Z. Gimbutas;P. G. Martinsson;V. Rokhlin

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

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

  • A randomized algorithm for the approximation of matrices

    Franco Woolfe;Edo Liberty;Vladimir Rokhlin;Mark Tygert

  • A Fast Algorithm for the Evaluation of Legendre Expansions.

    Bradley K. Alpert;Vladimir Rokhlin

Frequent Co-Authors

Leslie Greengard
Leslie Greengard New York University
Ronald R. Coifman
Ronald R. Coifman Yale University
Gregory Beylkin
Gregory Beylkin University of Colorado Boulder
Peter W. Jones
Peter W. Jones Yale University
Arthur Szlam
Arthur Szlam DeepMind (United Kingdom)
Nader Engheta
Nader Engheta University of Pennsylvania
Steven W. Zucker
Steven W. Zucker Yale University

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