Gregory Beylkin

Q: What Schools Are Affiliated With Gregory Beylkin

Gregory Beylkin is affiliated with the following schools: New York University, Moscow State University, University of Colorado Boulder, University of South Carolina, University of Texas at Austin, University of California, San Diego, University of Colorado

Gregory Beylkin's AcademicInfluence.com Rankings

Gregory Beylkin

Mathematics

#6149

World Rank

#8569

Historical Rank

Applied Mathematics

#243

World Rank

#268

Historical Rank

Measure Theory

#1840

World Rank

#2248

Historical Rank

mathematics Degrees

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Mathematics

Gregory Beylkin's Degrees

PhD Mathematics Moscow State University

Why Is Gregory Beylkin Influential?

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According to Wikipedia, Gregory Beylkin is a Russian–American mathematician. Education and career He studied from 1970 to 1975 at the University of Leningrad, with Diploma in Mathematics in November 1975. From 1976 to 1979 he was a research scientist at the Research Institute of Ore Geophysics, Leningrad. From 1980 to 1982 he was a graduate student at New York University, where he received his PhD under the supervision of Peter Lax. From 1982 to 1983 Beylkin was an associate research scientist at the Courant Institute of Mathematical Sciences. From 1983 to 1991 he was a member of the professional staff of Schlumberger-Doll Research in Ridgefield, Connecticut. Since 1991 he has been a professor in the Department of Applied Mathematics at the University of Colorado Boulder. He was a visiting professor at Yale University, the University of Minnesota, and the Mittag-Leffler Institute and participated in 2012 and 2015 in the summer seminar on "Applied Harmonic Analysis and Sparse Approximation" at Oberwolfach. He is the author or co-author of over 100 articles in refereed journal and has served on several editorial boards.

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Gregory Beylkin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Fast wavelet transforms and numerical algorithms I (1991) (2008)
Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized Radon transform (1985) (663)
On the representation of operators in bases of compactly supported wavelets (1992) (476)
Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations (1993) (438)
A new slant on seismic imaging: Migration and integral geometry (1987) (424)
Discrete radon transform (1987) (405)
Algorithms for Numerical Analysis in High Dimensions (2005) (387)
On the Fast Fourier Transform of Functions with Singularities (1995) (366)
Linearized inverse scattering problems in acoustics and elasticity (1990) (312)
Numerical operator calculus in higher dimensions (2002) (307)
On approximation of functions by exponential sums (2005) (281)
A New Class of Time Discretization Schemes for the Solution of Nonlinear PDEs (1998) (273)
Adaptive solution of partial di erential equations in multiwavelet bases (2002) (252)
Multiresolution quantum chemistry: basic theory and initial applications. (2004) (242)
The inversion problem and applications of the generalized radon transform (1984) (225)
Multiresolution representations using the autocorrelation functions of compactly supported wavelets (1993) (186)
Efficient solution of Poisson's equation with free boundary conditions. (2006) (178)
On the Adaptive Numerical Solution of Nonlinear Partial Differential Equations in Wavelet Bases (1997) (163)
Approximation by exponential sums revisited (2010) (145)
A Multiresolution Strategy for Numerical Homogenization (1995) (145)
Multivariate Regression and Machine Learning with Sums of Separable Functions (2009) (120)
Multiresolution quantum chemistry in multiwavelet bases: Hartree-Fock exchange. (2004) (96)
Multiresolution quantum chemistry in multiwavelet bases: Analytic derivatives for Hartree-Fock and density functional theory. (2004) (92)
On Generalized Gaussian Quadratures for Exponentials and Their Applications (2002) (88)
A Multiresolution Strategy for Reduction of Elliptic PDEs and Eigenvalue Problems (1998) (82)
LU Factorization of Non-standard Forms and Direct Multiresolution Solvers (1998) (82)
Multiresolution Quantum Chemistry in Multiwavelet Bases (2003) (78)
Wavelets and Fast Numerical Algorithms (1993) (75)
Multiresolution representations using the auto-correlation functions of compactly supported wavelets (1992) (74)
MADNESS: A Multiresolution, Adaptive Numerical Environment for Scientific Simulation (2015) (70)
Rotationally invariant quadratures for the sphere (2009) (63)
Wavelets for the Fast Solution of Second-Kind Integral Equations (1990) (62)
Wave propagation using bases for bandlimited functions (2005) (60)
A fast reconstruction algorithm for electron microscope tomography. (2003) (59)
Diffraction tomography using arbitrary transmitter and receiver surfaces. (1984) (58)
Spatial Resolution of Migration Algorithms (1985) (58)
Approximating a wavefunction as an unconstrained sum of Slater determinants (2007) (51)
Compactly Supported Wavelets Based on Almost Interpolating and Nearly Linear Phase Filters (Coiflets) (1999) (50)
Singular operators in multiwavelet bases (2004) (49)
Fast Spectral Projection Algorithms for Density-Matrix Computations (1999) (49)
Fast convolution with the free space Helmholtz Green's function (2009) (45)
Fast adaptive algorithms in the non-standard form for multidimensional problems ✩ (2007) (43)
Toward Multiresolution Estimation and Efficient Representation of Gravitational Fields (2002) (42)
Future Directions in Tensor-Based Computation and Modeling (2009) (39)
Wavelets, their autocorrelation functions, and multiresolution representations of signals (1992) (38)
Comparisons of the Cubed-Sphere Gravity Model with the Spherical Harmonics (2010) (38)
Fast algorithms for Helmholtz Green's functions (2008) (38)
Adaptive solution of multidimensional PDEs via tensor product wavelet decomposition (2008) (37)
Full-wave-equation depth extrapolation for migration (2009) (37)
Distorted-wave born and distorted-wave rytov approximations (1985) (36)
Multiresolution separated representations of singular and weakly singular operators (2007) (35)
Randomized Alternating Least Squares for Canonical Tensor Decompositions: Application to A PDE With Random Data (2015) (35)
Nonlinear inversion of a band-limited Fourier transform (2009) (35)
On Multiresolution Methods in Numerical Analysis (2007) (34)
Diffraction Tomography Using Arbitrary Transmitter and Receiver Surfaces1 (1984) (34)
Wavelets, multiresolution analysis and fast numerical algorithms (1996) (32)
Fast and Accurate Con-Eigenvalue Algorithm for Optimal Rational Approximations (2010) (29)
On double integrals over spheres (1988) (29)
A Multiresolution Approach to Regularization of Singular Operators and Fast Summation (2002) (29)
Multiresolution quantum chemistry in multiwavelet bases: excited states from time-dependent Hartree-Fock and density functional theory via linear response. (2015) (28)
A new formalism and an old heuristic for seismic migration (1984) (27)
The fundamental identity for iterated spherical means and the inversion formula for diffraction tomography and inverse scattering (1983) (25)
ODE solvers using band-limited approximations (2012) (25)
Randomized interpolative decomposition of separated representations (2013) (24)
Grids and transforms for band-limited functions in a disk (2007) (23)
Inversion Of The Generalized Radon Transform (1983) (22)
Bandlimited implicit Runge–Kutta integration for Astrodynamics (2014) (20)
Reconstructing discontinuities in multidimensional inverse scattering problems: smooth errors vs small errors. (1985) (19)
A NEW NUMERICAL INTEGRATION TECHNIQUE IN ASTRODYNAMICS (2012) (18)
Solving Burgersʼ equation using optimal rational approximations (2013) (18)
Multiscale Inversion of Elliptic Operators (1998) (18)
MULTIRESOLUTION REPRESENTATION OF OPERATORS WITH BOUNDARY CONDITIONS ON SIMPLE DOMAINS (2012) (18)
On the fast algorithm for multiplication of functions in the wavelet bases (1993) (17)
On Applications of Unequally Spaced Fast Fourier Transforms (1998) (16)
MADNESS applied to density functional theory in chemistry and nuclear physics (2007) (15)
The fast Gauss transform with complex parameters (2005) (12)
On the Design of Highly Accurate and Efficient IIR and FIR Filters (2012) (12)
Subpixel variability and quality assessment of satellite sea surface temperature data using a novel High Resolution Multistage Spectral Interpolation (HRMSI) technique (2018) (12)
Three-dimensional inverse scattering for the wave equation with variable speed: near-field formulae using point sources (1989) (11)
Multiresolution computational chemistry (2005) (11)
On Factored FIR Approximation of IIR Filters (1995) (11)
Near optimal rational approximations of large data sets (2013) (10)
On computing distributions of products of random variables via Gaussian multiresolution analysis (2016) (10)
Multiresolution Analysis of Elastic Degradation in Heterogeneous Materials (2001) (10)
Wavefront sets of solutions to linearised inverse scattering problems (1987) (10)
Inverse Scattering Problem for the Schrodinger Equation in Three Dimensions: Connections Between Exact and Approximate Methods (1988) (9)
Multiresolution adaptive space refinement in geophysical fluid dynamics simulation (2005) (9)
Optimization via separated representations and the canonical tensor decomposition (2016) (9)
SAR imaging and multiresolution analysis (1995) (9)
Multiparameter inversion for acoustic and elastic media (1989) (8)
On computing distributions of products of non-negative independent random variables (2017) (7)
ON GENERALIZED GAUSSIAN QUADRATURES FOR BANDLIMITED EXPONENTIALS (2013) (7)
Fast Exchange with Gaussian Basis Set Using Robust Pseudospectral Method. (2022) (7)
Nonlinear approximations for electronic structure calculations (2013) (7)
Preliminary results on approximating a wavefunction as an unconstrained sum of Slater determinants (2007) (7)
A Multiresolution Method for Numerical Reduction and Homogenization of Nonlinear ODEs (1998) (7)
Rational approximations for tomographic reconstructions (2013) (7)
A Multiresolution Strategy for Numerical Homogenization of Nonlinear ODEs (1997) (6)
Wavelet transforms and compression of seismic data (1998) (6)
Efficient representation and accurate evaluation of oscillatoryintegrals and functions (2016) (6)
On derivatives of smooth functions represented in multiwavelet bases (2019) (5)
A multiresolution model for small-body gravity estimation (2011) (5)
Dirac-Fock calculations on molecules in an adaptive multiwavelet basis. (2019) (4)
Sequential Orbit Determination with the Cubed-Sphere Gravity Model (2012) (4)
A wavelet-based constrained PreconditionedConjugate Gradient for elliptic problemsA (4)
On Wavelet-based Algorithms for Solving Diierential Equations. I Introduction (4)
Full-wave-equation Depth Migration Using Multiple Reflections (2010) (4)
Efficient Fourier basis particle simulation (2018) (4)
Approximations and fast algorithms (2001) (3)
Forward and inverse wave propagation using bandlimited functions and a fast reconstruction algorithm for electron microscopy (2003) (3)
Acoustic And Elastic Modeling Using Bases For Bandlimited Functions (2006) (3)
Efficient Evaluation of Two-Center Gaussian Integrals in Periodic Systems. (2021) (3)
A CUBED SPHERE GRAVITY MODEL FOR FAST ORBIT PROPAGATION (2009) (3)
Techniques for detecting densely wavelength-multiplexed solitons (1993) (2)
On computing distributions of products of non-negative random variables (2017) (2)
Fast and accurate propagation of coherent light (2013) (2)
Reduction of multivariate mixtures and its applications (2018) (2)
Fast Radon Transform for Multiple Attenuation (1998) (2)
Real-space quasi-relativistic quantum chemistry (2020) (2)
On Rank Reduction of Separated Representations (2013) (2)
Special Issue on Continuous Wavelet Transform in Memory of Jean Morlet, Part II (2010) (2)
MRA and low-separation rank approximation with applications to quantum electronics structures computations (2005) (2)
A Multiresolution Strategy for Numerical Homogenization I Introduction (1995) (1)
A fast algorithm for computing the Boys function (2021) (1)
Adaptive algorithm for electronic structure calculations using reduction of Gaussian mixtures (2018) (1)
Fast and accurate computation of the Fourier transform of an image (1994) (1)
A multiresolution approach to fast summation and regularization of singular operators (1996) (1)
A Filtered Backpropogation Algorithm for Fan Beam Diffraction Tomography (1984) (1)
A Multiresolution, Adaptive Numerical Environment for Simulation (2016) (0)
Geospatial Representation, Analysis and Computing Using Bandlimited Functions (2010) (0)
The fast Gauss transform with complex parameters q (2004) (0)
Bandlimited implicit Runge–Kutta integration for Astrodynamics (2014) (0)
Layer Stripping Migration Velocity Analysis Using Accurate Survey Sinking (2015) (0)
1. Methods to Numerically Solve Wave Equations (2012) (0)
ull-wave-equation depth extrapolation for migration (2009) (0)
CORY AHRENS, GREGORY BEYLKIN AND KRISTIAN SANDBERG (2012) (0)
A New Representative for Small-Body Gravity Estimation (2010) (0)
Adaptive pseudowavelet algorithms for solving nonlinear partial differential equations (1996) (0)
Particle Simulation in Fourier Space (2018) (0)
United States Patent ( 19 ) Beylkin ( 54 ) SEISMIC EXPLORATION USING EXACTLY INVERTIBLE DISCRETE TRANSFORMATION (2017) (0)
On computing bound states of the Dirac and Schr\"odinger Equations (2021) (0)
AAS 10-237 ORBIT DETERMINATION WITH THE CUBED-SPHERE GRAVITY MODEL (2010) (0)
Solving equations using nonlinear approximations (2013) (0)
Number of Papers published in non peer-reviewed journals: (2007) (0)
Multiscale Inversion of Elliptic Operators I Introduction (1995) (0)
Efficient evaluation of Gaussian integrals in periodic systems. (2020) (0)
The periodic table of the elements with $4n^{2}$ $n=2,3,\dots$ periods (2018) (0)
Correction to "Multiresolution Representations Using the Autocorrelation Functions of Compactly Supported Wavelets" [Correspondencd] (1997) (0)
Special Issue on Continuous Wavelet Transform in Memory of Jean Morlet, Part II Preface (2010) (0)
Challenges in Geometry , Analysis and Computation : High Dimensional Synthesis (2012) (0)
Separated Representations and Fast Algorithms for Materials Science (2007) (0)
SUPPLEMENT FOR FAST AND ACCURATE PROPAGATION OF COHERENT LIGHT (2013) (0)
Efficient Electromagnetic Fourier Basis Particle Simulation (2019) (0)
Fast Numerical Algorithms & SAR Applications. (1996) (0)
Multiresolution adaptive space renemen t in geophysical uid dynamics simulation (2005) (0)
Nonlinear Problems in Fluid Dynamics and Inverse Scattering: Propagation and capturing of singularities in problems of fluid dynamics and inverse scattering. (1993) (0)
GRT Inversion For Elastic Parameters Using PP, PS, SP, And SS Seismic Data (1990) (0)
On wavelet-based algorithms for solving differential equations (2021) (0)
ADAPTIVE SOLUTION OF MULTIDIMENSIONAL PDES (2008) (0)
Separated Representation for Computational Materials Science (2005) (0)
Accurate Multiresolution Modeling of the Earth's Gravitational Field (2001) (0)
Integrated Multiscale Modeling of Molecular Computing Devices (2012) (0)

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What Schools Are Affiliated With Gregory Beylkin?

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Gregory Beylkin's Degrees

Why Is Gregory Beylkin Influential?

Gregory Beylkin's Published Works

Published Works

Other Resources About Gregory Beylkin

What Schools Are Affiliated With Gregory Beylkin?

Gregory Beylkin's AcademicInfluence.com Rankings