Gregory Beylkin - Publications

Affiliations: 
Applied Mathematics University of Colorado, Boulder, Boulder, CO, United States 
Area:
Mathematics

91 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2022 Sharma S, White AF, Beylkin G. Fast Exchange with Gaussian Basis Set Using Robust Pseudospectral Method. Journal of Chemical Theory and Computation. PMID 36417710 DOI: 10.1021/acs.jctc.2c00720  0.41
2021 Beylkin G, Sharma S. A fast algorithm for computing the Boys function. The Journal of Chemical Physics. 155: 174117. PMID 34742184 DOI: 10.1063/5.0062444  0.374
2021 Sharma S, Beylkin G. Efficient Evaluation of Two-Center Gaussian Integrals in Periodic Systems. Journal of Chemical Theory and Computation. PMID 34061523 DOI: 10.1021/acs.jctc.0c01195  0.363
2020 Anderson J, Harrison RJ, Sundahl B, Thornton WS, Beylkin G. Real-space quasi-relativistic quantum chemistry Computational and Theoretical Chemistry. 1175: 112711. DOI: 10.1016/J.Comptc.2020.112711  0.415
2019 Beylkin G, Monzón L, Yang X. Adaptive algorithm for electronic structure calculations using reduction of Gaussian mixtures Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 475: 20180901. DOI: 10.1098/Rspa.2018.0901  0.492
2019 Mitchell MS, Miecnikowski MT, Beylkin G, Parker SE. Efficient Fourier basis particle simulation Journal of Computational Physics. 396: 837-847. DOI: 10.1016/J.Jcp.2019.07.023  0.411
2019 Beylkin G, Monzón L, Yang X. Reduction of multivariate mixtures and its applications Journal of Computational Physics. 383: 94-124. DOI: 10.1016/J.Jcp.2019.01.015  0.473
2019 Beylkin G, Monzón L, Satkauskas I. On computing distributions of products of non-negative independent random variables Applied and Computational Harmonic Analysis. 46: 400-416. DOI: 10.1016/J.Acha.2018.01.002  0.441
2019 Beylkin G, Monzón L, Satkauskas I. On computing distributions of products of random variables via Gaussian multiresolution analysis Applied and Computational Harmonic Analysis. 47: 306-337. DOI: 10.1016/J.Acha.2017.08.008  0.413
2017 Reynolds MJ, Beylkin G, Doostan A. Optimization via separated representations and the canonical tensor decomposition Journal of Computational Physics. 348: 220-230. DOI: 10.1016/J.Jcp.2017.07.012  0.491
2016 Beylkin G, Monzón L. Efficient representation and accurate evaluation of oscillatory integrals and functions Discrete and Continuous Dynamical Systems- Series A. 36: 4077-4100. DOI: 10.3934/Dcds.2016.36.4077  0.38
2016 Reynolds MJ, Doostan A, Beylkin G. Randomized Alternating Least Squares for Canonical Tensor Decompositions: Application to A PDE With Random Data Siam Journal On Scientific Computing. 38: A2634-A2664. DOI: 10.1137/15M1042802  0.416
2016 Harrison RJ, Beylkin G, Bischoff FA, Calvin JA, Fann GI, Fosso-Tande J, Galindo D, Hammond JR, Hartman-Baker R, Hill JC, Jia J, Kottmann JS, Yvonne Ou M, Pei J, Ratcliff LE, et al. MADNESS: A Multiresolution, Adaptive Numerical Environment for Scientific Simulation Siam Journal On Scientific Computing. 38: S123-S142. DOI: 10.1137/15M1026171  0.337
2015 Yanai T, Fann GI, Beylkin G, Harrison RJ. Multiresolution quantum chemistry in multiwavelet bases: excited states from time-dependent Hartree-Fock and density functional theory via linear response. Physical Chemistry Chemical Physics : Pccp. PMID 25711489 DOI: 10.1039/C4Cp05821F  0.392
2015 Vassiliou A, Sandberg K, Beylkin G, Lewis RD, Popovic I, Woog L. Layer Stripping Migration Velocity Analysis Using Accurate Survey Sinking Seg Technical Program Expanded Abstracts. DOI: 10.1190/Segam2015-5917235.1  0.678
2015 Biagioni DJ, Beylkin D, Beylkin G. Randomized interpolative decomposition of separated representations Journal of Computational Physics. 281: 116-134. DOI: 10.1016/J.Jcp.2014.10.009  0.778
2014 Beylkin G, Sandberg K. ODE solvers using band-limited approximations Journal of Computational Physics. 265: 156-171. DOI: 10.1016/J.Jcp.2014.02.001  0.683
2014 Bradley BK, Jones BA, Beylkin G, Sandberg K, Axelrad P. Bandlimited implicit Runge-Kutta integration for Astrodynamics Celestial Mechanics and Dynamical Astronomy. 119: 143-168. DOI: 10.1007/S10569-014-9551-X  0.666
2013 Lewis RD, Beylkin G, Monzón L. Fast and accurate propagation of coherent light Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 469. DOI: 10.1098/Rspa.2013.0323  0.506
2013 Beylkin G, Haut TS. Nonlinear approximations for electronic structure calculations Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 469. DOI: 10.1098/Rspa.2013.0231  0.478
2013 Reynolds M, Beylkin G, Monzón L. Rational approximations for tomographic reconstructions Inverse Problems. 29. DOI: 10.1088/0266-5611/29/6/065020  0.565
2013 Damle A, Beylkin G, Haut T, Monzón L. Near optimal rational approximations of large data sets Applied and Computational Harmonic Analysis. 35: 251-263. DOI: 10.1016/J.Acha.2012.08.011  0.461
2013 Reynolds M, Beylkin G, Monzón L. On generalized Gaussian quadratures for bandlimited exponentials Applied and Computational Harmonic Analysis. 34: 352-365. DOI: 10.1016/J.Acha.2012.07.002  0.556
2013 Haut T, Beylkin G, Monzón L. Solving Burgers equation using optimal rational approximations Applied and Computational Harmonic Analysis. 34: 83-95. DOI: 10.1016/J.Acha.2012.03.004  0.526
2012 Beylkin G. Reconstructing discontinuities in multidimensional inverse scattering problems: smooth errors vs small errors. Applied Optics. 24: 4086. PMID 18224168 DOI: 10.1364/Ao.24.004086  0.468
2012 Jones BA, Born GH, Beylkin G. Sequential orbit determination with the cubed-sphere gravity model Journal of Spacecraft and Rockets. 49: 145-156. DOI: 10.2514/1.A32032  0.315
2012 Haut TS, Beylkin G. Fast and accurate con-eigenvalue algorithm for optimal rational approximations Siam Journal On Matrix Analysis and Applications. 33: 1101-1125. DOI: 10.1137/110821901  0.487
2012 Beylkin G, Lewis RD, Monzón L. On the design of highly accurate and efficient IIR and FIR filters Ieee Transactions On Signal Processing. 60: 4045-4054. DOI: 10.1109/Tsp.2012.2197397  0.322
2012 Beylkin G, Fann G, Harrison RJ, Kurcz C, Monzón L. Multiresolution representation of operators with boundary conditions on simple domains Applied and Computational Harmonic Analysis. 33: 109-139. DOI: 10.1016/J.Acha.2011.10.001  0.772
2011 Jones BA, Beylkin G, Born GH, Provence RS. A multiresolution model for small-body gravity estimation Celestial Mechanics and Dynamical Astronomy. 111: 309-335. DOI: 10.1007/S10569-011-9374-Y  0.344
2010 Sandberg K, Beylkin G, Vassiliou A. Full-wave-equation Depth Migration Using Multiple Reflections Seg Technical Program Expanded Abstracts. DOI: 10.1190/1.3513538  0.677
2010 Beylkin G, Monzón L. Approximation by exponential sums revisited Applied and Computational Harmonic Analysis. 28: 131-149. DOI: 10.1016/J.Acha.2009.08.011  0.514
2009 Sandberg K, Beylkin G. Full-wave-equation depth extrapolation for migration Geophysics. 74: WCA121-WCA128. DOI: 10.1190/1.3202535  0.717
2009 Beylkin G, Garcke J, Mohlenkamp MJ. Multivariate Regression and Machine Learning with Sums of Separable Functions Siam Journal On Scientific Computing. 31: 1840-1857. DOI: 10.1137/070710524  0.431
2009 Ahrens C, Beylkin G. Rotationally invariant quadratures for the sphere Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 465: 3103-3125. DOI: 10.1098/Rspa.2009.0104  0.373
2009 Beylkin G, Kurcz C, Monzón L. Fast convolution with the free space Helmholtz Green's function Journal of Computational Physics. 228: 2770-2791. DOI: 10.1016/J.Jcp.2008.12.027  0.787
2009 Beylkin G, Monzón L. Nonlinear inversion of a band-limited Fourier transform Applied and Computational Harmonic Analysis. 27: 351-366. DOI: 10.1016/J.Acha.2009.04.003  0.505
2009 Beylkin G, Coifman RR, Rokhlin V. Fast wavelet transforms and numerical algorithms I Fundamental Papers in Wavelet Theory. 741-783. DOI: 10.1002/Cpa.3160440202  0.468
2008 Beylkin G, Kurcz C, Monzón L. Fast algorithms for Helmholtz Green's functions Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 464: 3301-3326. DOI: 10.1098/Rspa.2008.0161  0.784
2008 Beylkin G, Mohlenkamp MJ, Ṕrez F. Approximating a wavefunction as an unconstrained sum of Slater determinants Journal of Mathematical Physics. 49. DOI: 10.1063/1.2873123  0.459
2008 Beylkin G, Cheruvu V, Pérez F. Fast adaptive algorithms in the non-standard form for multidimensional problems Applied and Computational Harmonic Analysis. 24: 354-377. DOI: 10.1016/J.Acha.2007.08.001  0.511
2007 Beylkin G, Kurcz C, Monzón L. Grids and transforms for band-limited functions in a disk Inverse Problems. 23: 2059-2088. DOI: 10.1088/0266-5611/23/5/015  0.771
2007 Beylkin G, Cramer R, Fann G, Harrison RJ. Multiresolution separated representations of singular and weakly singular operators Applied and Computational Harmonic Analysis. 23: 235-253. DOI: 10.1016/J.Acha.2007.01.001  0.477
2007 Beylkin G, Mohlenkamp MJ, Pérez F. Preliminary results on approximating a wavefunction as an unconstrained sum of Slater determinants Pamm. 7: 1010301-1010302. DOI: 10.1002/Pamm.200700145  0.47
2006 Genovese L, Deutsch T, Neelov A, Goedecker S, Beylkin G. Efficient solution of Poisson's equation with free boundary conditions. The Journal of Chemical Physics. 125: 074105. PMID 16942320 DOI: 10.1063/1.2335442  0.384
2006 Coult N, Sandberg K, Beylkin G, Vassiliou A. Acoustic and elastic modeling using bases for bandlimited functions Seg Technical Program Expanded Abstracts. 25: 2241-2244. DOI: 10.1190/1.2372480  0.724
2005 Beylkin G, Mohlenkamp MJ. Algorithms for numerical analysis in high dimensions Siam Journal On Scientific Computing. 26: 2133-2159. DOI: 10.1137/040604959  0.509
2005 Fann GI, Harrison RJ, Beylkin G. MRA and low-separation rank approximation with applications to quantum electronics structures computations Journal of Physics: Conference Series. 16: 461-465. DOI: 10.1088/1742-6596/16/1/062  0.372
2005 Harrison RJ, Fann GI, Gan Z, Yanai T, Sugiki S, Beste A, Beylkin G. Multiresolution computational chemistry Journal of Physics: Conference Series. 16: 243-246. DOI: 10.1088/1742-6596/16/1/032  0.328
2005 Beylkin G, Sandberg K. Wave propagation using bases for bandlimited functions Wave Motion. 41: 263-291. DOI: 10.1016/J.Wavemoti.2004.05.008  0.731
2005 Andersson F, Beylkin G. The fast Gauss transform with complex parameters Journal of Computational Physics. 203: 274-286. DOI: 10.1016/J.Jcp.2004.07.020  0.436
2005 Beylkin G, Monzón L. On approximation of functions by exponential sums Applied and Computational Harmonic Analysis. 19: 17-48. DOI: 10.1016/J.Acha.2005.01.003  0.524
2004 Harrison RJ, Fann GI, Yanai T, Gan Z, Beylkin G. Multiresolution quantum chemistry: basic theory and initial applications. The Journal of Chemical Physics. 121: 11587-98. PMID 15634124 DOI: 10.1063/1.1791051  0.408
2004 Yanai T, Fann GI, Gan Z, Harrison RJ, Beylkin G. Multiresolution quantum chemistry in multiwavelet bases: Hartree-Fock exchange. The Journal of Chemical Physics. 121: 6680-8. PMID 15473723 DOI: 10.1063/1.1790931  0.454
2004 Yanai T, Fann GI, Gan Z, Harrison RJ, Beylkin G. Multiresolution quantum chemistry in multiwavelet bases: Analytic derivatives for Hartree-Fock and density functional theory. The Journal of Chemical Physics. 121: 2866-76. PMID 15291596 DOI: 10.1063/1.1768161  0.343
2004 Fann G, Beylkin G, Harrison RJ, Jordan KE. Singular operators in multiwavelet bases Ibm Journal of Research and Development. 48: 161-171. DOI: 10.1147/Rd.482.0161  0.473
2003 Sandberg K, Mastronarde DN, Beylkin G. A fast reconstruction algorithm for electron microscope tomography. Journal of Structural Biology. 144: 61-72. PMID 14643209 DOI: 10.1016/J.Jsb.2003.09.013  0.709
2003 Beylkin G, Cramer R. A multiresolution approach to regularization of singular operators and fast summation Siam Journal On Scientific Computing. 24: 81-117. DOI: 10.1137/S1064827500379227  0.451
2002 Beylkin G, Mohlenkamp MJ. Numerical operator calculus in higher dimensions. Proceedings of the National Academy of Sciences of the United States of America. 99: 10246-51. PMID 12140360 DOI: 10.1073/Pnas.112329799  0.459
2002 Alpert B, Beylkin G, Gines D, Vozovoi L. Adaptive solution of partial differential equations in multiwavelet bases Journal of Computational Physics. 182: 149-190. DOI: 10.1006/Jcph.2002.7160  0.424
2002 Beylkin G, Monzón L. On generalized Gaussian quadratures for exponentials and their applications Applied and Computational Harmonic Analysis. 12: 332-373. DOI: 10.1006/Acha.2002.0380  0.48
2001 Beylkin G. Approximations and fast algorithms Proceedings of Spie - the International Society For Optical Engineering. 4478: 1-8. DOI: 10.1117/12.449697  0.432
1999 Beylkin G, Coult N, Mohlenkamp MJ. Fast spectral projection algorithms for density-matrix computations Journal of Computational Physics. 152: 32-54. DOI: 10.1006/Jcph.1999.6215  0.484
1999 Monzón L, Beylkin G, Hereman W. Compactly Supported Wavelets Based on Almost Interpolating and Nearly Linear Phase Filters (Coiflets) Applied and Computational Harmonic Analysis. 7: 184-210. DOI: 10.1006/Acha.1999.0266  0.413
1998 Beylkin G, Vassiliou A. Fast Radon Transform for Multiple Attenuation Seg Technical Program Expanded Abstracts. DOI: 10.1190/1.1820153  0.307
1998 Averbuch A, Beylkin G, Coifman R, Israeli M. Multiscale inversion of elliptic operators Wavelet Analysis and Its Applications. 7: 341-359. DOI: 10.1016/S1874-608X(98)80013-7  0.418
1998 Beylkin G, Keiser JM, Vozovoi L. A new class of time discretization schemes for the solution of nonlinear PDEs Journal of Computational Physics. 147: 362-387. DOI: 10.1006/Jcph.1998.6093  0.354
1998 Beylkin G, Brewster ME, Gilbert AC. A Multiresolution Method for Numerical Reduction and Homogenization of Nonlinear ODEs Applied and Computational Harmonic Analysis. 5: 450-486. DOI: 10.1006/Acha.1998.0250  0.343
1998 Gines D, Beylkin G, Dunn J. LU Factorization of Non-standard Forms and Direct Multiresolution Solvers Applied and Computational Harmonic Analysis. 5: 156-201. DOI: 10.1006/Acha.1997.0227  0.472
1998 Beylkin G, Coult N. A Multiresolution Strategy for Reduction of Elliptic PDEs and Eigenvalue Problems Applied and Computational Harmonic Analysis. 5: 129-155. DOI: 10.1006/Acha.1997.0226  0.366
1997 Beylkin G, Keiser JM. An adaptive pseudo-wavelet approach for solving nonlinear partial differential equations Wavelet Analysis and Its Applications. 6: 137-197. DOI: 10.1016/S1874-608X(97)80006-4  0.41
1997 Beylkin G, Keiser JM. On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases Journal of Computational Physics. 132: 233-259. DOI: 10.1006/Jcph.1996.5562  0.475
1996 Keiser JM, Beylkin G. Adaptive pseudo-wavelet algorithms for solving nonlinear partial differential equations Proceedings of Spie - the International Society For Optical Engineering. 2825: 584-599. DOI: 10.1117/12.255269  0.422
1996 Beylkin G, Torrésani B. Implementation of operators via filter banks: Hardy wavelets and autocorrelation shell Applied and Computational Harmonic Analysis. 3: 164-185. DOI: 10.1006/Acha.1996.0014  0.495
1995 Beylkin G. On the Fast Fourier Transform of Functions with Singularities Applied and Computational Harmonic Analysis. 2: 363-381. DOI: 10.1006/Acha.1995.1026  0.507
1995 Brewster ME, Beylkin G. A Multiresolution Strategy for Numerical Homogenization Applied and Computational Harmonic Analysis. 2: 327-349. DOI: 10.1006/Acha.1995.1024  0.381
1993 Alpert B, Beylkin G, Coifman R, Rokhlin V. Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations Siam Journal On Scientific Computing. 14: 159-184. DOI: 10.1137/0914010  0.457
1993 Saito N, Beylkin G. Multiresolution Representations Using the Autocorrelation Functions of Compactly Supported Wavelets Ieee Transactions On Signal Processing. 41: 3584-3590. DOI: 10.1109/78.258102  0.448
1992 Beylkin G. On the representation of operators in bases of compactly supported wavelets Siam Journal On Numerical Analysis. 29: 1716-1740. DOI: 10.1137/0729097  0.423
1990 Beylkin G, Burridge R. Linearized inverse scattering problems in acoustics and elasticity Wave Motion. 12: 15-52. DOI: 10.1016/0165-2125(90)90017-X  0.355
1989 Cheney M, Beylkin G, Somersalo E, Burridge R. Three-dimensional inverse scattering for the wave equation with variable speed: near-field formulae using point sources Inverse Problems. 5: 1-6. DOI: 10.1088/0266-5611/5/1/004  0.348
1988 Burridge R, Beylkin G. On double integrals over spheres Inverse Problems. 4: 1-10. DOI: 10.1088/0266-5611/4/1/004  0.388
1987 Miller D, Oristaglio M, Beylkin G. NEW SLANT ON SEISMIC IMAGING: MIGRATION AND INTEGRAL GEOMETRY Geophysics. 52: 943-964. DOI: 10.1190/1.1442364  0.451
1987 Beylkin G. Discrete Radon Transform Ieee Transactions On Acoustics, Speech, and Signal Processing. 35: 162-172. DOI: 10.1109/Tassp.1987.1165108  0.461
1987 Chang W, Carrion P, Beylkin G. Wavefront sets of solutions to linearised inverse scattering problems Inverse Problems. 3: 683-690. DOI: 10.1088/0266-5611/3/4/013  0.395
1985 Beylkin G. Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized Radon transform Journal of Mathematical Physics. 26: 99-108. DOI: 10.1063/1.526755  0.471
1985 Beylkin G, Oristaglio ML. Distorted-wave born and distorted-wave rytov approximations Optics Communications. 53: 213-216. DOI: 10.1016/0030-4018(85)90157-9  0.333
1984 Devaney AJ, Beylkin G. Diffraction tomography using arbitrary transmitter and receiver surfaces Ultrasonic Imaging. 6: 181-193. PMID 6539980 DOI: 10.1177/016173468400600207  0.357
1984 Miller D, Oristaglio M, Beylkin G. A new formalism and an old heuristic for seismic migration Seg Technical Program Expanded Abstracts. DOI: 10.1190/1.1894314  0.428
1984 Beylkin G. The inversion problem and applications of the generalized radon transform Communications On Pure and Applied Mathematics. 37: 579-599. DOI: 10.1002/Cpa.3160370503  0.403
1982 Beylkin G. The fundamental identity for iterated spherical means and the inversion formula for diffraction tomography and inverse scattering Journal of Mathematical Physics. 24: 1399-1400. DOI: 10.1063/1.525873  0.32
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