Edit Profile (opens in new tab) Beylkin, Gregory Compute Distance To: Compute Author ID: beylkin.gregory Published as: Beylkin, Gregory; Beylkin, G. External Links: ORCID Documents Indexed: 73 Publications since 1983, including 1 Book 1 Contribution as Editor Co-Authors: 79 Co-Authors with 62 Joint Publications 1,121 Co-Co-Authors all top 5 Co-Authors 12 single-authored 20 Monzón, Lucas 6 Coifman, Ronald Raphaël 5 Mohlenkamp, Martin J. 4 Kurcz, Christopher 4 Reynolds, Matthew J. 4 Rokhlin, Vladimir 3 Burridge, Robert 3 Cramer, Robert 3 Fann, George I. 3 Harrison, Robert J. 3 Haut, Terry S. 3 Sandberg, Kristian 2 Alpert, Bradley K. 2 Brewster, M. E. 2 Cheruvu, Vani 2 Coult, Nicholas 2 Doostan, Alireza 2 Gines, D. 2 Keiser, James M. 2 Lewis, Ryan D. 2 Perez Gonzalez, Fernando 2 Saito, Naoki 2 Satkauskas, Ignas 2 Vozovoi, Lev 2 Yang, Xinshuo 1 Ahrens, Cory 1 Andersson, Fredrik K. 1 Averbuch, Amir Z. 1 Axelrad, Penina 1 Beylkin, Daniel 1 Biagioni, David J. 1 Bischoff, Florian A. 1 Bradley, Ben K. 1 Calvin, Justus A. 1 Carrion, Philip M. 1 Chang, Weita 1 Cheney, Margaret 1 Damle, Anil 1 Daubechies, Ingrid Chantal 1 Fischer, Patrick Armin 1 Fosso-Tande, Jacob 1 Fournier, Aimé 1 Galindo, Diego 1 Garcke, Jochen 1 Gilbert, Anna C. 1 Hammond, Jeff R. 1 Hartman-Baker, Rebecca 1 Hereman, Willy A. 1 Hill, Judith C. 1 Israeli, Moshe 1 Jia, Jun 1 Jones, Brandon A. 1 Kottmann, Jakob S. 1 Mallat, Stephane Georges 1 Meyer, Yves F. 1 Miecnikowski, Matthew T. 1 Mitchell, Matthew S. 1 Parker, Scott E. 1 Pei, Junchen 1 Raphael, Louise A. 1 Ratcliff, Laura E. 1 Reuter, Matthew G. 1 Rhee, Inkyu 1 Richie-Halford, Adam C. 1 Romero, Nichols A. 1 Ruskai, Mary Beth 1 Sekino, Hideo 1 Shelton, William A. 1 Somersalo, Erkki 1 Sundahl, Bryan E. 1 Thornton, W. Scott 1 Torrésani, Bruno S. 1 Valeev, Edward F. 1 Vázquez-Mayagoitia, Álvaro 1 Vence, Nicholas 1 Willam, Kaspar J. 1 Yanai, Takeshi 1 Yokoi, Yukina 1 Yvonne Ou, M.-J. all top 5 Serials 20 Applied and Computational Harmonic Analysis 11 Journal of Computational Physics 6 SIAM Journal on Scientific Computing 5 Inverse Problems 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications on Pure and Applied Mathematics 2 Wave Motion 2 IEEE Transactions on Signal Processing 2 Celestial Mechanics and Dynamical Astronomy 1 Journal of Mathematical Physics 1 Meccanica 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Matrix Analysis and Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 International Journal of Pure and Applied Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 56 Numerical analysis (65-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 17 Partial differential equations (35-XX) 9 Integral transforms, operational calculus (44-XX) 7 Approximations and expansions (41-XX) 7 Information and communication theory, circuits (94-XX) 5 Integral equations (45-XX) 4 Quantum theory (81-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 1,807 times in 1,278 Documents Cited by ▼ Year ▼ Fast wavelet transforms and numerical algorithms. I. Zbl 0722.65022Beylkin, G.; Coifman, R.; Rokhlin, V. 393 1991 A new class of time discretization schemes for the solution of nonlinear PDEs. Zbl 0924.65089Beylkin, Gregory; Keiser, James M.; Vozovoi, Lev 126 1998 Algorithms for numerical analysis in high dimensions. Zbl 1085.65045Beylkin, Gregory; Mohlenkamp, Martin J. 116 2005 Wavelet-like bases for the fast solution of second-kind integral equations. Zbl 0771.65088Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V. 102 1993 On the representation of operators in bases of compactly supported wavelets. Zbl 0766.65007Beylkin, G. 97 1992 Numerical operator calculus in higher dimensions. Zbl 1008.65026Beylkin, Gregory; Mohlenkamp, Martin J. 92 2002 On approximation of functions by exponential sums. Zbl 1075.65022Beylkin, Gregory; Monzón, Lucas 90 2005 Adaptive solution of partial differential equations in multiwavelet bases. Zbl 1015.65046Alpert, B.; Beylkin, G.; Gines, D.; Vozovoi, L. 83 2002 On the fast Fourier transform of functions with singularities. Zbl 0838.65142Beylkin, G. 74 1995 Approximation by exponential sums revisited. Zbl 1189.65035Beylkin, Gregory; Monzón, Lucas 65 2010 On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases. Zbl 0880.65076Beylkin, Gregory; Keiser, James M. 45 1997 Multivariate regression and machine learning with sums of separable functions. Zbl 1190.62135Beylkin, Gregory; Garcke, Jochen; Mohlenkamp, Martin J. 37 2009 On generalized Gaussian quadratures for exponentials and their applications. Zbl 1015.65012Beylkin, G.; Monzón, L. 35 2002 The inversion problem and applications of the generalized Radon transform. Zbl 0577.44003Beylkin, Gregory 34 1984 Multiresolution representations using the autocorrelation functions of compactly supported wavelets. Zbl 0841.94019Saito, Naoki; Beylkin, Gregory 29 1993 A multiresolution strategy for numerical homogenization. Zbl 0840.65047Brewster, M. E.; Beylkin, G. 25 1995 Wave propagation using bases for bandlimited functions. Zbl 1189.76456Beylkin, G.; Sandberg, K. 22 2005 Approximating a wavefunction as an unconstrained sum of Slater determinants. Zbl 1153.81322Beylkin, Gregory; Mohlenkamp, Martin J.; Pérez, Fernando 17 2008 Fast algorithms for Helmholtz Green’s functions. Zbl 1186.65155Beylkin, Gregory; Kurcz, Christopher; Monzón, Lucas 17 2008 LU factorization of non-standard forms and direct multiresolution solvers. Zbl 0914.65017Gines, D.; Beylkin, G.; Dunn, J. 17 1998 Fast convolution with the free space Helmholtz Green’s function. Zbl 1165.65082Beylkin, Gregory; Kurcz, Christopher; Monzón, Lucas 16 2009 Wavelets in numerical analysis. Zbl 0798.65126Beylkin, G.; Coifman, R.; Rokhlin, V. 16 1992 Randomized alternating least squares for canonical tensor decompositions: application to a PDE with random data. Zbl 1348.65012Reynolds, Matthew J.; Doostan, Alireza; Beylkin, Gregory 16 2016 Linearized inverse scattering problems in acoustics and elasticity. Zbl 0706.73031Beylkin, G.; Burridge, R. 15 1990 Wavelets and fast numerical algorithms. Zbl 0793.65105Beylkin, Gregory 15 1993 Nonlinear inversion of a band-limited Fourier transform. Zbl 1202.42052Beylkin, Gregory; Monzón, Lucas 13 2009 Multiresolution separated representations of singular and weakly singular operators. Zbl 1134.42023Beylkin, Gregory; Cramer, Robert; Fann, George; Harrison, Robert J. 13 2007 Wavelets and their applications. Zbl 0782.00087 13 1992 A multiresolution strategy for reduction of elliptic PDEs and eigenvalue problems. Zbl 0912.35013Beylkin, Gregory; Coult, Nicholas 13 1998 Rotationally invariant quadratures for the sphere. Zbl 1178.65030Ahrens, Cory; Beylkin, Gregory 12 2009 Randomized interpolative decomposition of separated representations. Zbl 1352.65123Biagioni, David J.; Beylkin, Daniel; Beylkin, Gregory 12 2015 Fast adaptive algorithms in the non-standard form for multidimensional problems. Zbl 1139.65078Beylkin, Gregory; Cheruvu, Vani; Pérez, Fernando 10 2008 Fast spectral projection algorithms for density-matrix computations. Zbl 0945.65049Beylkin, Gregory; Coult, Nicholas; Mohlenkamp, Martin J. 10 1999 Solving Burgers equation using optimal rational approximations. Zbl 1255.65183Haut, Terry; Beylkin, Gregory; Monzón, Lucas 9 2013 Fast and accurate con-eigenvalue algorithm for optimal rational approximations. Zbl 1263.65040Haut, T. S.; Beylkin, G. 9 2012 Grids and transforms for band-limited functions in a disk. Zbl 1137.65074Beylkin, Gregory; Kurcz, Christopher; Monzón, Lucas 8 2007 Multiresolution representation of operators with boundary conditions on simple domains. Zbl 1241.42027Beylkin, Gregory; Fann, George; Harrison, Robert J.; Kurcz, Christopher; Monzón, Lucas 7 2012 ODE solvers using band-limited approximations. Zbl 1349.65692Beylkin, G.; Sandberg, K. 7 2014 A multiresolution approach to regularization of singular operators and fast summation. Zbl 1019.65101Beylkin, Gregory; Cramer, Robert 6 2002 On wavelet-based algorithms for solving differential equations. Zbl 0883.65067Beylkin, G. 6 1994 On double integrals over spheres. Zbl 0652.44004Burridge, R.; Beylkin, G. 5 1988 Wavelets, multiresolution analysis and fast numerical algorithms. Zbl 0880.65126Beylkin, G. 5 1996 MADNESS: a multiresolution, adaptive numerical environment for scientific simulation. Zbl 1365.65327Harrison, Robert J.; Beylkin, Gregory; Bischoff, Florian A.; Calvin, Justus A.; Fann, George I.; Fosso-Tande, Jacob; Galindo, Diego; Hammond, Jeff R.; Hartman-Baker, Rebecca; Hill, Judith C.; Jia, Jun; Kottmann, Jakob S.; Yvonne Ou, M.-J.; Pei, Junchen; Ratcliff, Laura E.; Reuter, Matthew G.; Richie-Halford, Adam C.; Romero, Nichols A.; Sekino, Hideo; Shelton, William A.; Sundahl, Bryan E.; Thornton, W. Scott; Valeev, Edward F.; Vázquez-Mayagoitia, Álvaro; Vence, Nicholas; Yanai, Takeshi; Yokoi, Yukina 5 2016 Toward multiresolution estimation and efficient representation of gravitational fields. Zbl 1026.70018Beylkin, Gregory; Cramer, Robert 4 2002 Fast wavelet transforms and numerical algorithms. I. Zbl 0756.65148Beylkin, G.; Coifman, R.; Rokhlin, V. 4 1992 On the fast algorithm for multiplication of functions in the wavelet bases. Zbl 0926.42024Beylkin, G. 4 1993 The fast Gauss transform with complex parameters. Zbl 1066.65164Andersson, Fredrik; Beylkin, Gregory 3 2005 Multiresolution adaptive space refinement in geophysical fluid dynamics simulation. Zbl 1246.86004Fournier, Aimé; Beylkin, Gregory; Cheruvu, Vani 3 2005 Bandlimited implicit Runge-Kutta integration for astrodynamics. Zbl 1298.65037Bradley, Ben K.; Jones, Brandon A.; Beylkin, Gregory; Sandberg, Kristian; Axelrad, Penina 3 2014 Rational approximations for tomographic reconstructions. Zbl 1276.65092Reynolds, Matthew; Beylkin, Gregory; Monzón, Lucas 3 2013 Compactly supported wavelets based on almost interpolating and nearly linear phase filters (Coiflets). Zbl 0944.42023Monzón, Lucas; Beylkin, Gregory; Hereman, Willy 3 1999 On generalized Gaussian quadratures for bandlimited exponentials. Zbl 1264.65032Reynolds, Matthew; Beylkin, Gregory; Monzón, Lucas 3 2013 On computing distributions of products of random variables via Gaussian multiresolution analysis. Zbl 1479.60023Beylkin, Gregory; Monzón, Lucas; Satkauskas, Ignas 3 2019 Adaptive solution of multidimensional PDEs via tensor product wavelet decomposition. Zbl 1144.35317Averbuch, A.; Beylkin, G.; Coifman, R.; Fischer, P.; Israeli, M. 2 2008 Iterated spherical means in linearized inverse problems. Zbl 0535.65096Beylkin, Gregory 2 1983 On computing distributions of products of non-negative independent random variables. Zbl 07007002Beylkin, Gregory; Monzón, Lucas; Satkauskas, Ignas 2 2019 Optimization via separated representations and the canonical tensor decomposition. Zbl 1380.65112Reynolds, Matthew J.; Beylkin, Gregory; Doostan, Alireza 2 2017 Wavefront sets of solutions to linearized inverse scattering problems. Zbl 0643.58026Chang, Weita; Carrion, Philip; Beylkin, Gregory 1 1987 Three-dimensional inverse scattering for the wave equation with variable speed: Near-field formulae using point sources. Zbl 0682.35104Cheney, Margaret; Beylkin, Gregory; Somersalo, Erkki; Burridge, Robert 1 1989 Near optimal rational approximations of large data sets. Zbl 1336.94015Damle, Anil; Beylkin, Gregory; Haut, Terry; Monzón, Lucas 1 2013 Inversion and applications of the generalized Radon transform. Zbl 0823.44004Beylkin, G. 1 1994 On multiresolution methods in numerical analysis. Zbl 0899.65056Beylkin, Gregory 1 1998 A multiresolution method for numerical reduction and homogenization of nonlinear ODEs. Zbl 0916.65076Beylkin, G.; Brewster, M. E.; Gilbert, A. C. 1 1998 On factored FIR approximation of IIR filters. Zbl 0842.94001Beylkin, G. 1 1995 Reduction of multivariate mixtures and its applications. Zbl 1451.65176Beylkin, Gregory; Monzón, Lucas; Yang, Xinshuo 1 2019 Fast and accurate propagation of coherent light. Zbl 1348.78007Lewis, R. D.; Beylkin, G.; Monzón, L. 1 2013 On computing distributions of products of random variables via Gaussian multiresolution analysis. Zbl 1479.60023Beylkin, Gregory; Monzón, Lucas; Satkauskas, Ignas 3 2019 On computing distributions of products of non-negative independent random variables. Zbl 07007002Beylkin, Gregory; Monzón, Lucas; Satkauskas, Ignas 2 2019 Reduction of multivariate mixtures and its applications. Zbl 1451.65176Beylkin, Gregory; Monzón, Lucas; Yang, Xinshuo 1 2019 Optimization via separated representations and the canonical tensor decomposition. Zbl 1380.65112Reynolds, Matthew J.; Beylkin, Gregory; Doostan, Alireza 2 2017 Randomized alternating least squares for canonical tensor decompositions: application to a PDE with random data. Zbl 1348.65012Reynolds, Matthew J.; Doostan, Alireza; Beylkin, Gregory 16 2016 MADNESS: a multiresolution, adaptive numerical environment for scientific simulation. Zbl 1365.65327Harrison, Robert J.; Beylkin, Gregory; Bischoff, Florian A.; Calvin, Justus A.; Fann, George I.; Fosso-Tande, Jacob; Galindo, Diego; Hammond, Jeff R.; Hartman-Baker, Rebecca; Hill, Judith C.; Jia, Jun; Kottmann, Jakob S.; Yvonne Ou, M.-J.; Pei, Junchen; Ratcliff, Laura E.; Reuter, Matthew G.; Richie-Halford, Adam C.; Romero, Nichols A.; Sekino, Hideo; Shelton, William A.; Sundahl, Bryan E.; Thornton, W. Scott; Valeev, Edward F.; Vázquez-Mayagoitia, Álvaro; Vence, Nicholas; Yanai, Takeshi; Yokoi, Yukina 5 2016 Randomized interpolative decomposition of separated representations. Zbl 1352.65123Biagioni, David J.; Beylkin, Daniel; Beylkin, Gregory 12 2015 ODE solvers using band-limited approximations. Zbl 1349.65692Beylkin, G.; Sandberg, K. 7 2014 Bandlimited implicit Runge-Kutta integration for astrodynamics. Zbl 1298.65037Bradley, Ben K.; Jones, Brandon A.; Beylkin, Gregory; Sandberg, Kristian; Axelrad, Penina 3 2014 Solving Burgers equation using optimal rational approximations. Zbl 1255.65183Haut, Terry; Beylkin, Gregory; Monzón, Lucas 9 2013 Rational approximations for tomographic reconstructions. Zbl 1276.65092Reynolds, Matthew; Beylkin, Gregory; Monzón, Lucas 3 2013 On generalized Gaussian quadratures for bandlimited exponentials. Zbl 1264.65032Reynolds, Matthew; Beylkin, Gregory; Monzón, Lucas 3 2013 Near optimal rational approximations of large data sets. Zbl 1336.94015Damle, Anil; Beylkin, Gregory; Haut, Terry; Monzón, Lucas 1 2013 Fast and accurate propagation of coherent light. Zbl 1348.78007Lewis, R. D.; Beylkin, G.; Monzón, L. 1 2013 Fast and accurate con-eigenvalue algorithm for optimal rational approximations. Zbl 1263.65040Haut, T. S.; Beylkin, G. 9 2012 Multiresolution representation of operators with boundary conditions on simple domains. Zbl 1241.42027Beylkin, Gregory; Fann, George; Harrison, Robert J.; Kurcz, Christopher; Monzón, Lucas 7 2012 Approximation by exponential sums revisited. Zbl 1189.65035Beylkin, Gregory; Monzón, Lucas 65 2010 Multivariate regression and machine learning with sums of separable functions. Zbl 1190.62135Beylkin, Gregory; Garcke, Jochen; Mohlenkamp, Martin J. 37 2009 Fast convolution with the free space Helmholtz Green’s function. Zbl 1165.65082Beylkin, Gregory; Kurcz, Christopher; Monzón, Lucas 16 2009 Nonlinear inversion of a band-limited Fourier transform. Zbl 1202.42052Beylkin, Gregory; Monzón, Lucas 13 2009 Rotationally invariant quadratures for the sphere. Zbl 1178.65030Ahrens, Cory; Beylkin, Gregory 12 2009 Approximating a wavefunction as an unconstrained sum of Slater determinants. Zbl 1153.81322Beylkin, Gregory; Mohlenkamp, Martin J.; Pérez, Fernando 17 2008 Fast algorithms for Helmholtz Green’s functions. Zbl 1186.65155Beylkin, Gregory; Kurcz, Christopher; Monzón, Lucas 17 2008 Fast adaptive algorithms in the non-standard form for multidimensional problems. Zbl 1139.65078Beylkin, Gregory; Cheruvu, Vani; Pérez, Fernando 10 2008 Adaptive solution of multidimensional PDEs via tensor product wavelet decomposition. Zbl 1144.35317Averbuch, A.; Beylkin, G.; Coifman, R.; Fischer, P.; Israeli, M. 2 2008 Multiresolution separated representations of singular and weakly singular operators. Zbl 1134.42023Beylkin, Gregory; Cramer, Robert; Fann, George; Harrison, Robert J. 13 2007 Grids and transforms for band-limited functions in a disk. Zbl 1137.65074Beylkin, Gregory; Kurcz, Christopher; Monzón, Lucas 8 2007 Algorithms for numerical analysis in high dimensions. Zbl 1085.65045Beylkin, Gregory; Mohlenkamp, Martin J. 116 2005 On approximation of functions by exponential sums. Zbl 1075.65022Beylkin, Gregory; Monzón, Lucas 90 2005 Wave propagation using bases for bandlimited functions. Zbl 1189.76456Beylkin, G.; Sandberg, K. 22 2005 The fast Gauss transform with complex parameters. Zbl 1066.65164Andersson, Fredrik; Beylkin, Gregory 3 2005 Multiresolution adaptive space refinement in geophysical fluid dynamics simulation. Zbl 1246.86004Fournier, Aimé; Beylkin, Gregory; Cheruvu, Vani 3 2005 Numerical operator calculus in higher dimensions. Zbl 1008.65026Beylkin, Gregory; Mohlenkamp, Martin J. 92 2002 Adaptive solution of partial differential equations in multiwavelet bases. Zbl 1015.65046Alpert, B.; Beylkin, G.; Gines, D.; Vozovoi, L. 83 2002 On generalized Gaussian quadratures for exponentials and their applications. Zbl 1015.65012Beylkin, G.; Monzón, L. 35 2002 A multiresolution approach to regularization of singular operators and fast summation. Zbl 1019.65101Beylkin, Gregory; Cramer, Robert 6 2002 Toward multiresolution estimation and efficient representation of gravitational fields. Zbl 1026.70018Beylkin, Gregory; Cramer, Robert 4 2002 Fast spectral projection algorithms for density-matrix computations. Zbl 0945.65049Beylkin, Gregory; Coult, Nicholas; Mohlenkamp, Martin J. 10 1999 Compactly supported wavelets based on almost interpolating and nearly linear phase filters (Coiflets). Zbl 0944.42023Monzón, Lucas; Beylkin, Gregory; Hereman, Willy 3 1999 A new class of time discretization schemes for the solution of nonlinear PDEs. Zbl 0924.65089Beylkin, Gregory; Keiser, James M.; Vozovoi, Lev 126 1998 LU factorization of non-standard forms and direct multiresolution solvers. Zbl 0914.65017Gines, D.; Beylkin, G.; Dunn, J. 17 1998 A multiresolution strategy for reduction of elliptic PDEs and eigenvalue problems. Zbl 0912.35013Beylkin, Gregory; Coult, Nicholas 13 1998 On multiresolution methods in numerical analysis. Zbl 0899.65056Beylkin, Gregory 1 1998 A multiresolution method for numerical reduction and homogenization of nonlinear ODEs. Zbl 0916.65076Beylkin, G.; Brewster, M. E.; Gilbert, A. C. 1 1998 On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases. Zbl 0880.65076Beylkin, Gregory; Keiser, James M. 45 1997 Wavelets, multiresolution analysis and fast numerical algorithms. Zbl 0880.65126Beylkin, G. 5 1996 On the fast Fourier transform of functions with singularities. Zbl 0838.65142Beylkin, G. 74 1995 A multiresolution strategy for numerical homogenization. Zbl 0840.65047Brewster, M. E.; Beylkin, G. 25 1995 On factored FIR approximation of IIR filters. Zbl 0842.94001Beylkin, G. 1 1995 On wavelet-based algorithms for solving differential equations. Zbl 0883.65067Beylkin, G. 6 1994 Inversion and applications of the generalized Radon transform. Zbl 0823.44004Beylkin, G. 1 1994 Wavelet-like bases for the fast solution of second-kind integral equations. Zbl 0771.65088Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V. 102 1993 Multiresolution representations using the autocorrelation functions of compactly supported wavelets. Zbl 0841.94019Saito, Naoki; Beylkin, Gregory 29 1993 Wavelets and fast numerical algorithms. Zbl 0793.65105Beylkin, Gregory 15 1993 On the fast algorithm for multiplication of functions in the wavelet bases. Zbl 0926.42024Beylkin, G. 4 1993 On the representation of operators in bases of compactly supported wavelets. Zbl 0766.65007Beylkin, G. 97 1992 Wavelets in numerical analysis. Zbl 0798.65126Beylkin, G.; Coifman, R.; Rokhlin, V. 16 1992 Wavelets and their applications. Zbl 0782.00087 13 1992 Fast wavelet transforms and numerical algorithms. I. Zbl 0756.65148Beylkin, G.; Coifman, R.; Rokhlin, V. 4 1992 Fast wavelet transforms and numerical algorithms. I. Zbl 0722.65022Beylkin, G.; Coifman, R.; Rokhlin, V. 393 1991 Linearized inverse scattering problems in acoustics and elasticity. Zbl 0706.73031Beylkin, G.; Burridge, R. 15 1990 Three-dimensional inverse scattering for the wave equation with variable speed: Near-field formulae using point sources. Zbl 0682.35104Cheney, Margaret; Beylkin, Gregory; Somersalo, Erkki; Burridge, Robert 1 1989 On double integrals over spheres. Zbl 0652.44004Burridge, R.; Beylkin, G. 5 1988 Wavefront sets of solutions to linearized inverse scattering problems. Zbl 0643.58026Chang, Weita; Carrion, Philip; Beylkin, Gregory 1 1987 The inversion problem and applications of the generalized Radon transform. Zbl 0577.44003Beylkin, Gregory 34 1984 Iterated spherical means in linearized inverse problems. Zbl 0535.65096Beylkin, Gregory 2 1983 all cited Publications top 5 cited Publications all top 5 Cited by 1,933 Authors 36 Beylkin, Gregory 20 Khaliq, Abdul Q. M. 20 Khoromskiĭ, Boris Nikolaevich 20 Potts, Daniel 18 Hackbusch, Wolfgang 16 Monzón, Lucas 14 Dahmen, Wolfgang A. 14 Ying, Lexing 13 Andersson, Fredrik K. 13 Oseledets, Ivan Valer’evich 12 Lakestani, Mehrdad 12 Schneider, Reinhold 12 Tyrtyshnikov, Evgeniĭ Evgen’evich 11 Carlsson, Marcus 11 Harbrecht, Helmut 11 Nemati Saray, Behzad 11 Schmidt, Gunther 11 Xiao, Jinyou 10 Lanzara, Flavia 10 Mohlenkamp, Martin J. 10 Zhang, Yongtao 9 Greengard, Leslie F. 9 Maz’ya, Vladimir Gilelevich 9 Plonka, Gerlind 9 Rokhlin, Vladimir 9 Tasche, Manfred 8 Chen, Zhongying 8 Chinesta, Francisco 8 Jiang, Shidong 7 Bhatt, Harish P. 7 Demanet, Laurent 7 Furati, Khaled M. 7 Mandal, Birendra Nath 7 Owhadi, Houman 7 Panja, Madan Mohan 7 Wen, Lihua 7 Xu, Yuesheng 6 Ammar, Amine 6 Bachmayr, Markus 6 de Hoop, Maarten V. 6 Doostan, Alireza 6 Karoui, Abderrazek 6 Nestler, Franziska 6 Quinto, Eric Todd 6 Rakhuba, Maxim V. 6 Ravnik, Jure 6 Shkolnisky, Yoel 6 Soleymani, Fazlollah 6 Tausch, Johannes 6 Vasilyev, Oleg V. 6 Ward, Michael J. 6 Wei, Yimin 5 Amat, Sergio P. 5 Averbuch, Amir Z. 5 Bebendorf, Mario 5 Černá, Dana 5 Che, Maolin 5 Coifman, Ronald Raphaël 5 Danchenko, Vladimir Il’ich 5 Fann, George I. 5 Grasedyck, Lars 5 Ju, Lili 5 Kunis, Stefan 5 Kurdila, Andrew J. 5 Liang, Xiao 5 Mehra, Mani 5 Müller, Siegfried 5 Nie, Qing 5 Razzaghi, Mohsen 5 Steidl, Gabriele 5 Wang, Lilian 5 Yousefi, Sohrab Ali 5 Yousuf, Muhammad Irfan 5 Zhang, Yongdong 5 Zheng, Xiaoyang 4 Ashpazzadeh, Elmira 4 Attarnejad, Reza 4 Bacry, Emmanuel 4 Busquier, Sonia 4 Cao, Yanchuang 4 Carbone, Maurizio 4 Chen, Xuefeng 4 Cheng, Yingda 4 Dehghan Takht Fooladi, Mehdi 4 Ebrahimnejad, Latif 4 Escande, Paul 4 Espig, Mike 4 Finěk, Václav 4 Flad, Heinz-Jürgen 4 Gerhard, Nils 4 Harrison, Robert J. 4 Huang, Jingfang 4 Huybrechs, Daan 4 Israeli, Moshe 4 Katsevich, Alexander I. 4 Kressner, Daniel 4 Li, Peng 4 Li, Xiao 4 Lin, Fu-Rong 4 Liu, Xinfeng ...and 1,833 more Authors all top 5 Cited in 268 Serials 145 Journal of Computational Physics 66 Journal of Computational and Applied Mathematics 62 Applied and Computational Harmonic Analysis 45 Applied Mathematics and Computation 38 Journal of Scientific Computing 37 SIAM Journal on Scientific Computing 36 Computer Methods in Applied Mechanics and Engineering 32 Engineering Analysis with Boundary Elements 27 Applied Numerical Mathematics 25 Advances in Computational Mathematics 24 Computers & Mathematics with Applications 19 Mathematics of Computation 19 Numerical Algorithms 18 International Journal of Computer Mathematics 16 Linear Algebra and its Applications 13 Numerische Mathematik 13 Constructive Approximation 13 International Journal of Wavelets, Multiresolution and Information Processing 12 Wave Motion 12 Computing 12 Computational Mechanics 12 SIAM Journal on Matrix Analysis and Applications 11 BIT 11 International Journal for Numerical Methods in Engineering 11 Journal of Integral Equations and Applications 11 The Journal of Fourier Analysis and Applications 9 Inverse Problems 9 SIAM Journal on Imaging Sciences 8 Mathematics and Computers in Simulation 8 Applied Mathematical Modelling 7 Applicable Analysis 7 Journal of Mathematical Physics 7 Communications in Computational Physics 6 Mathematical Methods in the Applied Sciences 6 Journal of Approximation Theory 6 SIAM Journal on Numerical Analysis 6 Celestial Mechanics and Dynamical Astronomy 6 Computational and Applied Mathematics 6 Foundations of Computational Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Journal of Fluid Mechanics 5 Journal of the Franklin Institute 5 Journal of Mathematical Analysis and Applications 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 Numerical Linear Algebra with Applications 5 Mathematical Problems in Engineering 4 Computers and Fluids 4 Computer Physics Communications 4 Transport Theory and Statistical Physics 4 Numerical Functional Analysis and Optimization 4 Applied Mathematics and Mechanics. (English Edition) 4 European Journal of Applied Mathematics 4 The Journal of Geometric Analysis 4 Computational Mathematics and Mathematical Physics 4 SIAM Review 4 Communications in Numerical Methods in Engineering 4 Journal of Vibration and Control 4 Computing and Visualization in Science 4 Abstract and Applied Analysis 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Journal of Numerical Mathematics 4 Journal of Applied Mathematics and Computing 4 Multiscale Modeling & Simulation 4 International Journal of Computational Methods 4 Computational Methods for Differential Equations 4 International Journal of Applied and Computational Mathematics 3 Journal d’Analyse Mathématique 3 Journal of Engineering Mathematics 3 Journal of Statistical Physics 3 Information Sciences 3 Meccanica 3 Circuits, Systems, and Signal Processing 3 Physica D 3 Acta Mathematicae Applicatae Sinica. English Series 3 Numerical Methods for Partial Differential Equations 3 Communications in Statistics. Simulation and Computation 3 SIAM Journal on Mathematical Analysis 3 Journal of Mathematical Sciences (New York) 3 Journal of Inverse and Ill-Posed Problems 3 Journal of Mathematical Chemistry 3 Doklady Mathematics 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Communications in Nonlinear Science and Numerical Simulation 3 Engineering Computations 3 Archives of Computational Methods in Engineering 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Difference Equations 3 EURASIP Journal on Advances in Signal Processing 3 Science China. Mathematics 3 Analysis and Mathematical Physics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Applied Mathematics and Nonlinear Sciences 3 SIAM Journal on Mathematics of Data Science 2 Communications on Pure and Applied Mathematics 2 International Journal for Numerical Methods in Fluids 2 Indian Journal of Pure & Applied Mathematics 2 International Journal of Theoretical Physics 2 Linear and Multilinear Algebra 2 Mathematical Notes 2 Nonlinearity ...and 168 more Serials all top 5 Cited in 46 Fields 986 Numerical analysis (65-XX) 337 Partial differential equations (35-XX) 186 Harmonic analysis on Euclidean spaces (42-XX) 111 Fluid mechanics (76-XX) 106 Linear and multilinear algebra; matrix theory (15-XX) 106 Integral equations (45-XX) 99 Approximations and expansions (41-XX) 82 Mechanics of deformable solids (74-XX) 67 Information and communication theory, circuits (94-XX) 60 Ordinary differential equations (34-XX) 49 Optics, electromagnetic theory (78-XX) 46 Computer science (68-XX) 45 Statistics (62-XX) 41 Probability theory and stochastic processes (60-XX) 38 Integral transforms, operational calculus (44-XX) 37 Operator theory (47-XX) 34 Biology and other natural sciences (92-XX) 28 Special functions (33-XX) 28 Statistical mechanics, structure of matter (82-XX) 27 Real functions (26-XX) 25 Quantum theory (81-XX) 24 Geophysics (86-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Dynamical systems and ergodic theory (37-XX) 17 Functional analysis (46-XX) 14 Systems theory; control (93-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Mechanics of particles and systems (70-XX) 11 Functions of a complex variable (30-XX) 11 Operations research, mathematical programming (90-XX) 7 Potential theory (31-XX) 6 Number theory (11-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year