G
Gregory Beylkin
Researcher at University of Colorado Boulder
Publications - 141
Citations - 10580
Gregory Beylkin is an academic researcher from University of Colorado Boulder. The author has contributed to research in topics: Multiresolution analysis & Wavelet. The author has an hindex of 42, co-authored 140 publications receiving 9991 citations. Previous affiliations of Gregory Beylkin include New York University & University of Tennessee.
Papers
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Linearized inverse scattering problems in acoustics and elasticity
Gregory Beylkin,Robert Burridge +1 more
TL;DR: In this paper, a single-scattering approximation for the material parameters of an acoustic two-parameter medium and then for a threeparameter isotropic elastic medium is used to locate major discontinuities in the subsurface material.
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A New Class of Time Discretization Schemes for the Solution of Nonlinear PDEs
TL;DR: It turns out that computing the exponential of strictly elliptic operators in the wavelet system of coordinates yields sparse matrices (for a finite but arbitrary accuracy) and this observation makes the approach practical in a number of applications.
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Multiresolution quantum chemistry: basic theory and initial applications.
TL;DR: A multiresolution solver for the all-electron local density approximation Kohn-Sham equations for general polyatomic molecules to a user-specified precision and the computational cost of applying all operators scales linearly with the number of parameters.
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The inversion problem and applications of the generalized radon transform
TL;DR: In this article, the generalized Radon transform was applied to partial differential equations with variable coefficients and a solution to the inversion problem for the attenuated and exponential Radon transforms was provided.
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Adaptive solution of partial differential equations in multiwavelet bases
TL;DR: In this paper, the authors construct multiresolution representations of derivative and exponential operators with linear boundary conditions in multiwavelet bases and use them to develop a simple, adaptive scheme for the solution of nonlinear, time-dependent partial differential equations.