World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
14164
World Ranking
1420
National Ranking
626

Research.com Recognitions

  • 2016 - SIAM Fellow For the design and creation of fast numerical algorithms and seminal theory for linearized inverse problems.
  • 2013 - Fellow of the American Mathematical Society

Overview

Gregory Beylkin is affiliated with the University of Colorado Boulder in the United States. Their research spans multiple disciplines primarily within physics and mathematics, with a strong focus on numerical methods and quantum chemistry.

The scientist has contributed significantly to areas such as atomic and molecular physics, optics, numerical analysis, spectroscopy, biomedical engineering, and statistical and nonlinear physics.

The main research topics covered in their work include:

  • Spectroscopy and Quantum Chemical Studies
  • Spectroscopy and Laser Applications
  • Optical Polarization and Ellipsometry
  • Advanced Chemical Physics Studies
  • Scientific Research and Discoveries
  • Electromagnetic Scattering and Analysis
  • Mathematical Functions and Polynomials

Gregory Beylkin has authored papers published in various venues, with a notable presence in arXiv (Cornell University) and a range of peer-reviewed journals. Key publication venues include:

  • arXiv (Cornell University)
  • Journal of Chemical Theory and Computation
  • Computational and Theoretical Chemistry
  • Applied and Computational Harmonic Analysis
  • The Journal of Chemical Physics

Selected papers authored or co-authored by Beylkin are:

  • "On representations of the Helmholtz Green's function," 2024, Applied and Computational Harmonic Analysis
  • "Fast Exchange with Gaussian Basis Set Using Robust Pseudospectral Method," 2022, Journal of Chemical Theory and Computation
  • "Real-space quasi-relativistic quantum chemistry," 2020, Computational and Theoretical Chemistry
  • "Efficient evaluation of two-center Gaussian integrals in periodic systems," 2020, arXiv (Cornell University)
  • "Fast exchange with Gaussian basis set using robust pseudospectral method," 2022, arXiv (Cornell University)

Frequent co-authors collaborating with Beylkin include:

  • Sandeep Sharma
  • Alec F. White
  • Joel Anderson
  • Robert J. Harrison

Throughout their career, Gregory Beylkin has received recognition from professional organizations. Awards include:

  • SIAM Fellow (2016) for contributions to fast numerical algorithms and theory for linearized inverse problems
  • Fellow of the American Mathematical Society (2013)

Best Publications

  • Fast wavelet transforms and numerical algorithms I

    G. Beylkin;R. Coifman;V. Rokhlin

  • On the representation of operators in bases of compactly supported wavelets

    G. Beylkin

  • Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized Radon transform

    G. Beylkin

  • Discrete radon transform

    G. Beylkin

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

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

  • A new slant on seismic imaging: Migration and integral geometry

    D. Miller;M. Oristaglio;G. Beylkin

  • On the Fast Fourier Transform of Functions with Singularities

    G. Beylkin

  • Algorithms for Numerical Analysis in High Dimensions

    Gregory Beylkin;Martin J. Mohlenkamp

  • Linearized inverse scattering problems in acoustics and elasticity

    G. Beylkin;R. Burridge

  • On approximation of functions by exponential sums

    Gregory Beylkin;Lucas Monzón

  • Numerical operator calculus in higher dimensions

    Gregory Beylkin;Martin J. Mohlenkamp

  • A New Class of Time Discretization Schemes for the Solution of Nonlinear PDEs

    Gregory Beylkin;James M. Keiser;Lev Vozovoi

  • Adaptive solution of partial differential equations in multiwavelet bases

    B. Alpert;G. Beylkin;D. Gines;L. Vozovoi

  • Multiresolution quantum chemistry: basic theory and initial applications.

    Robert J. Harrison;George I. Fann;Takeshi Yanai;Zhengting Gan

  • Multiresolution representations using the autocorrelation functions of compactly supported wavelets

    N. Saito;G. Beylkin

  • The inversion problem and applications of the generalized radon transform

    Gregory Beylkin

  • Efficient solution of Poisson's equation with free boundary conditions

    Luigi Genovese;Thierry Deutsch;Alexey Neelov;Stefan Goedecker

  • On the Adaptive Numerical Solution of Nonlinear Partial Differential Equations in Wavelet Bases

    Gregory Beylkin;James M. Keiser

  • Approximation by exponential sums revisited

    Gregory Beylkin;Lucas Monzón

  • A Multiresolution Strategy for Numerical Homogenization

    M.E. Brewster;G. Beylkin

Frequent Co-Authors

Robert J. Harrison
Robert J. Harrison Murdoch University
Ronald R. Coifman
Ronald R. Coifman Yale University
Takeshi Yanai
Takeshi Yanai Nagoya University
Vladimir Rokhlin
Vladimir Rokhlin Yale University
Amir Averbuch
Amir Averbuch Tel Aviv University
Mark J. Ablowitz
Mark J. Ablowitz University of Colorado Boulder
Erkki Somersalo
Erkki Somersalo Case Western Reserve University
Petros Drineas
Petros Drineas Purdue University West Lafayette
Robert J. Plemmons
Robert J. Plemmons Wake Forest University
Kaspar Willam
Kaspar Willam University of Houston

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