Edit Profile (opens in new tab) Rokhlin, Vladimir Compute Distance To: Compute Author ID: rokhlin.vladimir Published as: Rokhlin, Vladimir; Rokhlin, V. Homepage: http://cpsc.yale.edu/people/vladimir-rokhlin External Links: MGP · Wikidata · dblp · GND Documents Indexed: 95 Publications since 1983, including 1 Book Co-Authors: 58 Co-Authors with 86 Joint Publications 819 Co-Co-Authors all top 5 Co-Authors 9 single-authored 12 Greengard, Leslie F. 10 Tygert, Mark 9 Martinsson, Per-Gunnar 8 Bremer, James C. 7 Gimbutas, Zydrunas 7 Yarvin, Norman 5 Cheng, Hongwei 5 Coifman, Ronald Raphaël 4 Beylkin, Gregory 4 Dutt, Alok 4 Serkh, Kirill 4 Xiao, Hong 3 Chen, Yu 3 Jiang, Shidong 3 Osipov, Andreĭ V. 3 Woolfe, Franco 2 Alpert, Bradley K. 2 Coakley, Edward S. 2 Crutchfield, William Y. 2 Duan, Ran 2 Glaser, Andreas 2 Heitman, Zhu 2 Hrycak, Tomasz 2 Huang, Jingfang 2 Jones, Peter Wilcox 2 Kolm, Petter N. 2 Kong, Wai Yip 2 Lederman, Roy R. 2 Liberty, Edo 2 Vioreanu, Bogdan G. 2 Zhao, Junsheng 1 Beylkin, Daniel 1 Carrier, J. 1 Denlinger, Ryan 1 Engheta, Nader 1 Ethridge, J. Frank 1 Garritano, James 1 Goldberg, Maxim J. 1 Greengard, Philip 1 Gu, Ming 1 Gueyffier, Denis 1 Hoskins, Jeremy G. 1 Israeli, Moshe 1 Kapur, Sharad 1 Kluger, Yuval 1 Kushnir, Dan 1 Leeb, William E. 1 Liu, Xiangtao 1 Marshall, Nicholas F. 1 Murphy, William D. 1 O’Donnell, S. T. 1 O’Neil, Michael 1 Sammis, Ian 1 Shkolnisky, Yoel 1 Starr, Page 1 Szlam, Arthur D. 1 Vassiliou, Marius S. 1 Wandzura, Stephen M. all top 5 Serials 20 Journal of Computational Physics 16 SIAM Journal on Scientific Computing 16 Applied and Computational Harmonic Analysis 6 SIAM Journal on Numerical Analysis 4 Computers & Mathematics with Applications 3 Communications on Pure and Applied Mathematics 3 Inverse Problems 3 SIAM Journal on Scientific and Statistical Computing 3 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Mathematical Physics 1 Wave Motion 1 Waves in Random Media 1 BIT 1 Journal of Complexity 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 SIAM Journal on Optimization 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 IEEE Transactions on Antennas and Propagation 1 Acta Numerica 1 Applied Mathematical Sciences 1 Communications in Applied Mathematics and Computational Science all top 5 Fields 78 Numerical analysis (65-XX) 35 Partial differential equations (35-XX) 17 Special functions (33-XX) 14 Approximations and expansions (41-XX) 14 Integral equations (45-XX) 11 Potential theory (31-XX) 8 Ordinary differential equations (34-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 5 Optics, electromagnetic theory (78-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 3 Integral transforms, operational calculus (44-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 5,113 times in 2,795 Documents Cited by ▼ Year ▼ A fast algorithm for particle simulations. Zbl 0629.65005Greengard, L.; Rokhlin, V. 885 1987 Fast wavelet transforms and numerical algorithms. I. Zbl 0722.65022Beylkin, G.; Coifman, R.; Rokhlin, V. 400 1991 Rapid solution of integral equations of classical potential theory. Zbl 0629.65122Rokhlin, V. 331 1985 A new version of the fast multipole method for the Laplace equation in three dimensions. Zbl 0889.65115Greengard, Leslie; Rokhlin, Vladimir 230 1997 Spectral deferred correction methods for ordinary differential equations. Zbl 0959.65084Dutt, Alok; Greengard, Leslie; Rokhlin, Vladimir 185 2000 A fast adaptive multipole algorithm in three dimensions. Zbl 0937.65126Cheng, H.; Greengard, L.; Rokhlin, V. 156 1999 A fast adaptive multipole algorithm for particle simulations. Zbl 0656.65004Carrier, J.; Greengard, L.; Rokhlin, V. 149 1988 Fast Fourier transforms for nonequispaced data. Zbl 0791.65108Dutt, A.; Rokhlin, V. 132 1993 Rapid solution of integral equations of scattering theory in two dimensions. Zbl 0686.65079Rokhlin, V. 124 1990 Randomized algorithms for the low-rank approximation of matrices. Zbl 1215.65080Liberty, Edo; Woolfe, Franco; Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark 115 2007 Diagonal forms of translation operators for the Helmholtz equation in three dimensions. Zbl 0795.35021Rokhlin, V. 113 1993 On the compression of low rank matrices. Zbl 1083.65042Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V. 104 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 A fast direct solver for boundary integral equations in two dimensions. Zbl 1078.65112Martinsson, P. G.; Rokhlin, V. 101 2005 The rapid evaluation of potential fields in three dimensions. Zbl 0661.70006Greengard, L.; Rokhlin, V. 89 1988 A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark 85 2008 A wideband fast multipole method for the Helmholtz equation in three dimensions. Zbl 1093.65117Cheng, Hongwei; Crutchfield, William Y.; Gimbutas, Zydrunas; Greengard, Leslie F.; Ethridge, J. Frank; Huang, Jingfang; Rokhlin, Vladimir; Yarvin, Norman; Zhao, Junsheng 84 2006 Prolate spheroidal wavefunctions, quadrature and interpolation. Zbl 0991.65024Xiao, H.; Rokhlin, V.; Yarvin, N. 82 2001 Generalized Gaussian quadrature rules for systems of arbitrary functions. Zbl 0858.65015Ma, J.; Rokhlin, V.; Wandzura, S. 72 1996 Generalized Gaussian quadratures and singular value decompositions of integral operators. Zbl 0932.65020Yarvin, N.; Rokhlin, V. 70 1999 A fast algorithm for the evaluation of Legendre expansions. Zbl 0726.65018Alpert, Bradley K.; Rokhlin, Vladimir 63 1991 A randomized algorithm for the decomposition of matrices. Zbl 1210.65095Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark 62 2011 A fast algorithm for the calculation of the roots of special functions. Zbl 1145.65015Glaser, Andreas; Liu, Xiangtao; Rokhlin, Vladimir 57 2007 High-order corrected trapezoidal quadrature rules for singular functions. Zbl 0891.65019Kapur, Sharad; Rokhlin, Vladimir 57 1997 Fast direct solvers for integral equations in complex three-dimensional domains. Zbl 1176.65141Greengard, Leslie; Gueyffier, Denis; Martinsson, Per-Gunnar; Rokhlin, Vladimir 57 2009 A nonlinear optimization procedure for generalized Gaussian quadratures. Zbl 1215.65045Bremer, James; Gimbutas, Zydrunas; Rokhlin, Vladimir 52 2010 Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation. Zbl 1287.65015Osipov, Andrei; Rokhlin, Vladimir; Xiao, Hong 45 2013 A fast algorithm for particle simulations. Zbl 0898.70002Greengard, L.; Rokhlin, V. 44 1997 Numerical quadratures for singular and hypersingular integrals. Zbl 0985.65016Kolm, P.; Rokhlin, V. 44 2001 A randomized algorithm for principal component analysis. Zbl 1198.65035Rokhlin, Vladimir; Szlam, Arthur; Tygert, Mark 44 2010 Universal quadratures for boundary integral equations on two-dimensional domains with corners. Zbl 1201.65213Bremer, James; Rokhlin, Vladimir; Sammis, Ian 44 2010 Fast algorithms for polynomial interpolation, integration, and differentiation. Zbl 0862.65005Dutt, A.; Gu, M.; Rokhlin, V. 39 1996 A fast randomized algorithm for overdetermined linear least-squares regression. Zbl 05851018Rokhlin, Vladimir; Tygert, Mark 36 2008 An accelerated kernel-independent fast multipole method in one dimension. Zbl 1154.65318Martinsson, P. G.; Rokhlin, V. 35 2007 Solution of acoustic scattering problems by means of second kind integral equations. Zbl 0522.73022Rokhlin, V. 34 1983 An algorithm for the rapid evaluation of special function transforms. Zbl 1191.65016O’Neil, Michael; Woolfe, Franco; Rokhlin, Vladimir 30 2010 Fast Fourier transforms for nonequispaced data. II. Zbl 0822.65130Dutt, A.; Rokhlin, V. 29 1995 A generalized fast multipole method for nonoscillatory kernels. Zbl 1035.65137Gimbutas, Zydrunas; Rokhlin, Vladimir 28 2002 A fast algorithm for the inversion of general Toeplitz matrices. Zbl 1087.65025Martinsson, P. G.; Rokhlin, V.; Tygert, M. 28 2005 An improved fast multipole algorithm for potential fields. Zbl 0915.65116Hrycak, Tomasz; Rokhlin, Vladimir 27 1998 Fast algorithms for spherical harmonic expansions. Zbl 1104.65134Rokhlin, Vladimir; Tygert, Mark 27 2006 On the numerical solution of two-point boundary value problems. Zbl 0727.65068Greengard, L.; Rokhlin, V. 26 1991 Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit. Zbl 1110.41010Rokhlin, Vladimir; Xiao, Hong 26 2007 Nonlinear optimization, quadrature, and interpolation. Zbl 1032.90528Cheng, H.; Rokhlin, V.; Yarvin, N. 23 1999 An improved fast multipole algorithm for potential fields on the line. Zbl 0973.65106Yarvin, Norman; Rokhlin, Vladimir 23 1998 Efficient discretization of Laplace boundary integral equations on polygonal domains. Zbl 1185.65219Bremer, James; Rokhlin, Vladimir 23 2010 A fast direct solver for scattering problems involving elongated structures. Zbl 1111.65109Martinsson, P. G.; Rokhlin, V. 22 2007 An improved operator expansion algorithm for direct and inverse scattering computations. Zbl 0973.76080Coifman, R.; Goldberg, M.; Hrycak, T.; Israeli, M.; Rokhlin, V. 21 1999 Approximation of bandlimited functions. Zbl 1110.65023Shkolnisky, Yoel; Tygert, Mark; Rokhlin, Vladimir 21 2006 The fast multipole method (FMM) for electromagnetic scattering problems. Zbl 0947.78614Engheta, Nader; Murphy, William D.; Rokhlin, Vladimir; Vassiliou, Marius S. 19 1992 On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark 19 2006 Remarks on the implementation of the wideband FMM for the Helmholtz equation in two dimensions. Zbl 1107.65107Cheng, H.; Crutchfield, W.; Gimbutas, Z.; Greengard, L.; Huang, J.; Rokhlin, V.; Yarvin, N.; Zhao, J. 19 2006 On the solution of elliptic partial differential equations on regions with corners. Zbl 1349.35049Serkh, Kirill; Rokhlin, Vladimir 18 2016 An adaptive fast direct solver for boundary integral equations in two dimensions. Zbl 1227.65118Kong, Wai Yip; Bremer, James; Rokhlin, Vladimir 18 2011 End-point corrected trapezoidal quadrature rules for singular functions. Zbl 0716.65017Rokhlin, V. 18 1990 Second kind integral equations for the classical potential theory on open surfaces. II. Zbl 1050.65118Jiang, Shidong; Rokhlin, Vladimir 17 2004 On the inverse scattering problem for the Helmholtz equation in one dimension. Zbl 0760.34017Chen, Y.; Rokhlin, V. 17 1992 Wavelets in numerical analysis. Zbl 0798.65126Beylkin, G.; Coifman, R.; Rokhlin, V. 17 1992 High-order quadratures for the solution of scattering problems in two dimensions. Zbl 1161.65358Duan, Ran; Rokhlin, Vladimir 16 2009 On the numerical solution of two-point boundary value problems. II. Zbl 0805.65080Starr, Page; Rokhlin, Vladimir 16 1994 A fast algorithm for the numerical evaluation of conformal mappings. Zbl 0672.30006O’Donnell, S. T.; Rokhlin, V. 15 1989 A fast algorithm for the discrete Laplace transformation. Zbl 0646.65094Rokhlin, V. 14 1988 On the evaluation of prolate spheroidal wave functions and associated quadrature rules. Zbl 1302.65061Osipov, Andrei; Rokhlin, Vladimir 14 2014 Quadruple and octuple layer potentials in two dimensions. I: Analytical apparatus. Zbl 1139.35397Kolm, Petter; Jiang, Shidong; Rokhlin, Vladimir 13 2003 A generalized one-dimensional fast multipole method with application to filtering of spherical harmonics. Zbl 0927.65138Yarvin, Norman; Rokhlin, Vladimir 13 1998 Spectra of multiplication operators as a numerical tool. Zbl 1292.65028Vioreanu, B.; Rokhlin, V. 12 2014 A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions. Zbl 1247.65029Kong, Wai Yip; Rokhlin, Vladimir 11 2012 A fast divide-and-conquer algorithm for computing the spectra of real symmetric tridiagonal matrices. Zbl 1264.65051Coakley, Ed S.; Rokhlin, Vladimir 11 2013 High-frequency asymptotic expansions for certain prolate spheroidal wave functions. Zbl 1054.33017Xiao, Hong; Rokhlin, Vladimir 10 2003 On the asymptotics of Bessel functions in the Fresnel regime. Zbl 1321.33007Heitman, Zhu; Bremer, James; Rokhlin, Vladimir; Vioreanu, Bogdan 10 2015 A new class of highly accurate solvers for ordinary differential equations. Zbl 1203.65102Glaser, Andreas; Rokhlin, Vladimir 10 2009 On the analytical and numerical properties of the truncated Laplace transform. I. Zbl 1317.65248Lederman, R. R.; Rokhlin, V. 9 2015 A fast direct algorithm for the solution of the Laplace equation on regions with fractal boundaries. Zbl 0810.65097Jones, P.; Ma, J.; Rokhlin, V. 9 1994 A highly accurate solver for stiff ordinary differential equations. Zbl 1246.65103Kushnir, Dan; Rokhlin, Vladimir 8 2012 On the existence of nonoscillatory phase functions for second order ordinary differential equations in the high-frequency regime. Zbl 1349.34037Heitman, Zhu; Bremer, James; Rokhlin, Vladimir 8 2015 Improved estimates for nonoscillatory phase functions. Zbl 1343.34034Bremer, James; Rokhlin, Vladimir 8 2016 A randomized approximate nearest neighbors algorithm. Zbl 1262.68188Jones, Peter W.; Osipov, Andrei; Rokhlin, Vladimir 7 2013 On the analytical and numerical properties of the truncated Laplace transform. II. Zbl 1336.33043Lederman, R. R.; Rokhlin, V. 7 2016 On the Riccati equations for the scattering matrices in two dimensions. Zbl 0870.35078Chen, Y.; Rokhlin, V. 5 1997 Sparse diagonal forms for translation operators for the Helmholtz equation in two dimensions. Zbl 0890.65116Rokhlin, V. 5 1998 A fast randomized algorithm for orthogonal projection. Zbl 1368.65061Coakley, E. S.; Rokhlin, V.; Tygert, M. 5 2011 Fitting a bandlimited curve to points in a plane. Zbl 1297.65017Beylkin, Daniel; Rokhlin, Vladimir 5 2014 A fast summation method for oscillatory lattice sums. Zbl 1391.35116Denlinger, Ryan; Gimbutas, Zydrunas; Greengard, Leslie; Rokhlin, Vladimir 5 2017 On the solution of the Helmholtz equation on regions with corners. Zbl 1355.35052Serkh, Kirill; Rokhlin, Vladimir 5 2016 A fast simple algorithm for computing the potential of charges on a line. Zbl 1446.31009Gimbutas, Zydrunas; Marshall, Nicholas F.; Rokhlin, Vladimir 4 2020 Fast wavelet transforms and numerical algorithms. I. Zbl 0756.65148Beylkin, G.; Coifman, R.; Rokhlin, V. 4 1992 Second kind integral equations for the classical potential theory on open surfaces I: Analytical apparatus. Zbl 1035.65140Jiang, Shidong; Rokhlin, Vladimir 4 2003 Application of volume integrals to the solution of partial differential equations. Zbl 0608.65074Rokhlin, Vladimir 3 1985 On the numerical solution of elliptic partial differential equations on polygonal domains. Zbl 1426.65212Hoskins, Jeremy G.; Rokhlin, Vladimir; Serkh, Kirill 3 2019 On the inverse scattering problem in the acoustic environment. Zbl 1168.65050Chen, Yu; Duan, Ran; Rokhlin, Vladimir 3 2008 Analysis-based fast numerical algorithms of applied mathematics. Zbl 0839.65127Rokhlin, Vladimir 1 1995 An algorithm for the evaluation of the incomplete gamma function. Zbl 1428.33002Greengard, Philip; Rokhlin, Vladimir 1 2019 On the numerical solution of fourth-order linear two-point boundary value problems. Zbl 1444.65038Leeb, William; Rokhlin, Vladimir 1 2020 A fast simple algorithm for computing the potential of charges on a line. Zbl 1446.31009Gimbutas, Zydrunas; Marshall, Nicholas F.; Rokhlin, Vladimir 4 2020 On the numerical solution of fourth-order linear two-point boundary value problems. Zbl 1444.65038Leeb, William; Rokhlin, Vladimir 1 2020 On the numerical solution of elliptic partial differential equations on polygonal domains. Zbl 1426.65212Hoskins, Jeremy G.; Rokhlin, Vladimir; Serkh, Kirill 3 2019 An algorithm for the evaluation of the incomplete gamma function. Zbl 1428.33002Greengard, Philip; Rokhlin, Vladimir 1 2019 A fast summation method for oscillatory lattice sums. Zbl 1391.35116Denlinger, Ryan; Gimbutas, Zydrunas; Greengard, Leslie; Rokhlin, Vladimir 5 2017 On the solution of elliptic partial differential equations on regions with corners. Zbl 1349.35049Serkh, Kirill; Rokhlin, Vladimir 18 2016 Improved estimates for nonoscillatory phase functions. Zbl 1343.34034Bremer, James; Rokhlin, Vladimir 8 2016 On the analytical and numerical properties of the truncated Laplace transform. II. Zbl 1336.33043Lederman, R. R.; Rokhlin, V. 7 2016 On the solution of the Helmholtz equation on regions with corners. Zbl 1355.35052Serkh, Kirill; Rokhlin, Vladimir 5 2016 On the asymptotics of Bessel functions in the Fresnel regime. Zbl 1321.33007Heitman, Zhu; Bremer, James; Rokhlin, Vladimir; Vioreanu, Bogdan 10 2015 On the analytical and numerical properties of the truncated Laplace transform. I. Zbl 1317.65248Lederman, R. R.; Rokhlin, V. 9 2015 On the existence of nonoscillatory phase functions for second order ordinary differential equations in the high-frequency regime. Zbl 1349.34037Heitman, Zhu; Bremer, James; Rokhlin, Vladimir 8 2015 On the evaluation of prolate spheroidal wave functions and associated quadrature rules. Zbl 1302.65061Osipov, Andrei; Rokhlin, Vladimir 14 2014 Spectra of multiplication operators as a numerical tool. Zbl 1292.65028Vioreanu, B.; Rokhlin, V. 12 2014 Fitting a bandlimited curve to points in a plane. Zbl 1297.65017Beylkin, Daniel; Rokhlin, Vladimir 5 2014 Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation. Zbl 1287.65015Osipov, Andrei; Rokhlin, Vladimir; Xiao, Hong 45 2013 A fast divide-and-conquer algorithm for computing the spectra of real symmetric tridiagonal matrices. Zbl 1264.65051Coakley, Ed S.; Rokhlin, Vladimir 11 2013 A randomized approximate nearest neighbors algorithm. Zbl 1262.68188Jones, Peter W.; Osipov, Andrei; Rokhlin, Vladimir 7 2013 A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions. Zbl 1247.65029Kong, Wai Yip; Rokhlin, Vladimir 11 2012 A highly accurate solver for stiff ordinary differential equations. Zbl 1246.65103Kushnir, Dan; Rokhlin, Vladimir 8 2012 A randomized algorithm for the decomposition of matrices. Zbl 1210.65095Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark 62 2011 An adaptive fast direct solver for boundary integral equations in two dimensions. Zbl 1227.65118Kong, Wai Yip; Bremer, James; Rokhlin, Vladimir 18 2011 A fast randomized algorithm for orthogonal projection. Zbl 1368.65061Coakley, E. S.; Rokhlin, V.; Tygert, M. 5 2011 A nonlinear optimization procedure for generalized Gaussian quadratures. Zbl 1215.65045Bremer, James; Gimbutas, Zydrunas; Rokhlin, Vladimir 52 2010 A randomized algorithm for principal component analysis. Zbl 1198.65035Rokhlin, Vladimir; Szlam, Arthur; Tygert, Mark 44 2010 Universal quadratures for boundary integral equations on two-dimensional domains with corners. Zbl 1201.65213Bremer, James; Rokhlin, Vladimir; Sammis, Ian 44 2010 An algorithm for the rapid evaluation of special function transforms. Zbl 1191.65016O’Neil, Michael; Woolfe, Franco; Rokhlin, Vladimir 30 2010 Efficient discretization of Laplace boundary integral equations on polygonal domains. Zbl 1185.65219Bremer, James; Rokhlin, Vladimir 23 2010 Fast direct solvers for integral equations in complex three-dimensional domains. Zbl 1176.65141Greengard, Leslie; Gueyffier, Denis; Martinsson, Per-Gunnar; Rokhlin, Vladimir 57 2009 High-order quadratures for the solution of scattering problems in two dimensions. Zbl 1161.65358Duan, Ran; Rokhlin, Vladimir 16 2009 A new class of highly accurate solvers for ordinary differential equations. Zbl 1203.65102Glaser, Andreas; Rokhlin, Vladimir 10 2009 A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark 85 2008 A fast randomized algorithm for overdetermined linear least-squares regression. Zbl 05851018Rokhlin, Vladimir; Tygert, Mark 36 2008 On the inverse scattering problem in the acoustic environment. Zbl 1168.65050Chen, Yu; Duan, Ran; Rokhlin, Vladimir 3 2008 Randomized algorithms for the low-rank approximation of matrices. Zbl 1215.65080Liberty, Edo; Woolfe, Franco; Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark 115 2007 A fast algorithm for the calculation of the roots of special functions. Zbl 1145.65015Glaser, Andreas; Liu, Xiangtao; Rokhlin, Vladimir 57 2007 An accelerated kernel-independent fast multipole method in one dimension. Zbl 1154.65318Martinsson, P. G.; Rokhlin, V. 35 2007 Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit. Zbl 1110.41010Rokhlin, Vladimir; Xiao, Hong 26 2007 A fast direct solver for scattering problems involving elongated structures. Zbl 1111.65109Martinsson, P. G.; Rokhlin, V. 22 2007 A wideband fast multipole method for the Helmholtz equation in three dimensions. Zbl 1093.65117Cheng, Hongwei; Crutchfield, William Y.; Gimbutas, Zydrunas; Greengard, Leslie F.; Ethridge, J. Frank; Huang, Jingfang; Rokhlin, Vladimir; Yarvin, Norman; Zhao, Junsheng 84 2006 Fast algorithms for spherical harmonic expansions. Zbl 1104.65134Rokhlin, Vladimir; Tygert, Mark 27 2006 Approximation of bandlimited functions. Zbl 1110.65023Shkolnisky, Yoel; Tygert, Mark; Rokhlin, Vladimir 21 2006 On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark 19 2006 Remarks on the implementation of the wideband FMM for the Helmholtz equation in two dimensions. Zbl 1107.65107Cheng, H.; Crutchfield, W.; Gimbutas, Z.; Greengard, L.; Huang, J.; Rokhlin, V.; Yarvin, N.; Zhao, J. 19 2006 On the compression of low rank matrices. Zbl 1083.65042Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V. 104 2005 A fast direct solver for boundary integral equations in two dimensions. Zbl 1078.65112Martinsson, P. G.; Rokhlin, V. 101 2005 A fast algorithm for the inversion of general Toeplitz matrices. Zbl 1087.65025Martinsson, P. G.; Rokhlin, V.; Tygert, M. 28 2005 Second kind integral equations for the classical potential theory on open surfaces. II. Zbl 1050.65118Jiang, Shidong; Rokhlin, Vladimir 17 2004 Quadruple and octuple layer potentials in two dimensions. I: Analytical apparatus. Zbl 1139.35397Kolm, Petter; Jiang, Shidong; Rokhlin, Vladimir 13 2003 High-frequency asymptotic expansions for certain prolate spheroidal wave functions. Zbl 1054.33017Xiao, Hong; Rokhlin, Vladimir 10 2003 Second kind integral equations for the classical potential theory on open surfaces I: Analytical apparatus. Zbl 1035.65140Jiang, Shidong; Rokhlin, Vladimir 4 2003 A generalized fast multipole method for nonoscillatory kernels. Zbl 1035.65137Gimbutas, Zydrunas; Rokhlin, Vladimir 28 2002 Prolate spheroidal wavefunctions, quadrature and interpolation. Zbl 0991.65024Xiao, H.; Rokhlin, V.; Yarvin, N. 82 2001 Numerical quadratures for singular and hypersingular integrals. Zbl 0985.65016Kolm, P.; Rokhlin, V. 44 2001 Spectral deferred correction methods for ordinary differential equations. Zbl 0959.65084Dutt, Alok; Greengard, Leslie; Rokhlin, Vladimir 185 2000 A fast adaptive multipole algorithm in three dimensions. Zbl 0937.65126Cheng, H.; Greengard, L.; Rokhlin, V. 156 1999 Generalized Gaussian quadratures and singular value decompositions of integral operators. Zbl 0932.65020Yarvin, N.; Rokhlin, V. 70 1999 Nonlinear optimization, quadrature, and interpolation. Zbl 1032.90528Cheng, H.; Rokhlin, V.; Yarvin, N. 23 1999 An improved operator expansion algorithm for direct and inverse scattering computations. Zbl 0973.76080Coifman, R.; Goldberg, M.; Hrycak, T.; Israeli, M.; Rokhlin, V. 21 1999 An improved fast multipole algorithm for potential fields. Zbl 0915.65116Hrycak, Tomasz; Rokhlin, Vladimir 27 1998 An improved fast multipole algorithm for potential fields on the line. Zbl 0973.65106Yarvin, Norman; Rokhlin, Vladimir 23 1998 A generalized one-dimensional fast multipole method with application to filtering of spherical harmonics. Zbl 0927.65138Yarvin, Norman; Rokhlin, Vladimir 13 1998 Sparse diagonal forms for translation operators for the Helmholtz equation in two dimensions. Zbl 0890.65116Rokhlin, V. 5 1998 A new version of the fast multipole method for the Laplace equation in three dimensions. Zbl 0889.65115Greengard, Leslie; Rokhlin, Vladimir 230 1997 High-order corrected trapezoidal quadrature rules for singular functions. Zbl 0891.65019Kapur, Sharad; Rokhlin, Vladimir 57 1997 A fast algorithm for particle simulations. Zbl 0898.70002Greengard, L.; Rokhlin, V. 44 1997 On the Riccati equations for the scattering matrices in two dimensions. Zbl 0870.35078Chen, Y.; Rokhlin, V. 5 1997 Generalized Gaussian quadrature rules for systems of arbitrary functions. Zbl 0858.65015Ma, J.; Rokhlin, V.; Wandzura, S. 72 1996 Fast algorithms for polynomial interpolation, integration, and differentiation. Zbl 0862.65005Dutt, A.; Gu, M.; Rokhlin, V. 39 1996 Fast Fourier transforms for nonequispaced data. II. Zbl 0822.65130Dutt, A.; Rokhlin, V. 29 1995 Analysis-based fast numerical algorithms of applied mathematics. Zbl 0839.65127Rokhlin, Vladimir 1 1995 On the numerical solution of two-point boundary value problems. II. Zbl 0805.65080Starr, Page; Rokhlin, Vladimir 16 1994 A fast direct algorithm for the solution of the Laplace equation on regions with fractal boundaries. Zbl 0810.65097Jones, P.; Ma, J.; Rokhlin, V. 9 1994 Fast Fourier transforms for nonequispaced data. Zbl 0791.65108Dutt, A.; Rokhlin, V. 132 1993 Diagonal forms of translation operators for the Helmholtz equation in three dimensions. Zbl 0795.35021Rokhlin, V. 113 1993 Wavelet-like bases for the fast solution of second-kind integral equations. Zbl 0771.65088Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V. 102 1993 The fast multipole method (FMM) for electromagnetic scattering problems. Zbl 0947.78614Engheta, Nader; Murphy, William D.; Rokhlin, Vladimir; Vassiliou, Marius S. 19 1992 On the inverse scattering problem for the Helmholtz equation in one dimension. Zbl 0760.34017Chen, Y.; Rokhlin, V. 17 1992 Wavelets in numerical analysis. Zbl 0798.65126Beylkin, G.; Coifman, R.; Rokhlin, V. 17 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. 400 1991 A fast algorithm for the evaluation of Legendre expansions. Zbl 0726.65018Alpert, Bradley K.; Rokhlin, Vladimir 63 1991 On the numerical solution of two-point boundary value problems. Zbl 0727.65068Greengard, L.; Rokhlin, V. 26 1991 Rapid solution of integral equations of scattering theory in two dimensions. Zbl 0686.65079Rokhlin, V. 124 1990 End-point corrected trapezoidal quadrature rules for singular functions. Zbl 0716.65017Rokhlin, V. 18 1990 A fast algorithm for the numerical evaluation of conformal mappings. Zbl 0672.30006O’Donnell, S. T.; Rokhlin, V. 15 1989 A fast adaptive multipole algorithm for particle simulations. Zbl 0656.65004Carrier, J.; Greengard, L.; Rokhlin, V. 149 1988 The rapid evaluation of potential fields in three dimensions. Zbl 0661.70006Greengard, L.; Rokhlin, V. 89 1988 A fast algorithm for the discrete Laplace transformation. Zbl 0646.65094Rokhlin, V. 14 1988 A fast algorithm for particle simulations. Zbl 0629.65005Greengard, L.; Rokhlin, V. 885 1987 Rapid solution of integral equations of classical potential theory. Zbl 0629.65122Rokhlin, V. 331 1985 Application of volume integrals to the solution of partial differential equations. Zbl 0608.65074Rokhlin, Vladimir 3 1985 Solution of acoustic scattering problems by means of second kind integral equations. Zbl 0522.73022Rokhlin, V. 34 1983 all cited Publications top 5 cited Publications all top 5 Cited by 3,801 Authors 44 Greengard, Leslie F. 44 Ying, Lexing 42 Rokhlin, Vladimir 31 Beylkin, Gregory 29 Jiang, Shidong 28 Martinsson, Per-Gunnar 27 Harbrecht, Helmut 25 Huang, Jingfang 24 Darve, Eric 24 Helsing, Johan 22 Minion, Michael L. 21 Bremer, James C. 21 Liu, Yijun 20 Barnett, Alex H. 19 Cai, Wei 19 Nicholls, David P. 18 Christlieb, Andrew J. 18 Xiang, Shuhuang 17 Börm, Steffen 17 Potts, Daniel 16 Biros, George 16 Tornberg, Anna-Karin 15 O’Neil, Michael 15 Pan, Victor Yakovlevich 14 Gillman, Adrianna 14 Xia, Jianlin 13 Huybrechs, Daan 13 Karoui, Abderrazek 13 Khoromskiĭ, Boris Nikolaevich 13 Monzón, Lucas 13 Rachh, Manas 13 Yang, Haizhao 12 Antoine, Xavier 12 Bebendorf, Mario 12 Boyd, John Philip 12 Chaillat, Stéphanie 12 Dehghan Takht Fooladi, Mehdi 12 Koumoutsakos, Petros D. 12 Ma, Hang 12 Qin, Qinghua 12 Xiao, Jinyou 11 Bruno, Oscar P. 11 Chen, Haibo 11 Tygert, Mark 11 Veerapaneni, Shravan Kumar 11 Walther, Jens Honoré 11 Xu, Yuesheng 10 Barba, Lorena A. 10 Demanet, Laurent 10 Ho, Kenneth L. 10 Kropinski, Mary Catherine A. 10 Lin, Lin 10 Nishimura, Naoshi 10 Ravnik, Jure 10 Takahashi, Toru 10 Townsend, Alex 10 Xu, Zhenli 10 Zheng, Changjun 9 Averbuch, Amir Z. 9 Cho, Minhyung 9 Claeys, Xavier 9 Dahmen, Wolfgang A. 9 Fu, Zhuojia 9 Gimbutas, Zydrunas 9 Klöckner, Andreas 9 Li, Yingzhou 9 Lu, Jianfeng 9 Of, Günther 9 Quaife, Bryan D. 9 Wang, Lilian 8 Bonnet, Marc 8 Chen, Zhongying 8 Dölz, Jürgen 8 Fan, Yuwei 8 Hagstrom, Thomas M. 8 Labovsky, Alexander E. 8 Lakestani, Mehrdad 8 Lakey, Joseph D. 8 Oseledets, Ivan Valer’evich 8 Schneider, Reinhold 8 Shkolnisky, Yoel 8 Wen, Lihua 8 Zhang, Bo 8 Zorin, Denis N. 7 Abgrall, Rémi 7 Assari, Pouria 7 Chatelain, Philippe 7 Chen, Wen 7 Doostan, Alireza 7 Eldredge, Jeff D. 7 Gu, Yan 7 Hackbusch, Wolfgang 7 Hogan, Jeffrey A. 7 Hou, Yanren 7 Jin, Shi 7 Krasny, Robert 7 Lai, Jun 7 Leonard, Anthony 7 Li, Junpu 7 Lowengrub, John Samuel ...and 3,701 more Authors all top 5 Cited in 334 Serials 525 Journal of Computational Physics 163 Engineering Analysis with Boundary Elements 128 SIAM Journal on Scientific Computing 112 Journal of Computational and Applied Mathematics 95 Applied and Computational Harmonic Analysis 75 Journal of Scientific Computing 67 Computer Methods in Applied Mechanics and Engineering 66 Computers & Mathematics with Applications 65 Advances in Computational Mathematics 58 Applied Mathematics and Computation 57 Applied Numerical Mathematics 41 Numerical Algorithms 40 Mathematics of Computation 40 Numerische Mathematik 40 SIAM Journal on Matrix Analysis and Applications 36 International Journal for Numerical Methods in Engineering 32 BIT 31 Computational Mechanics 27 International Journal of Computer Mathematics 25 Linear Algebra and its Applications 24 SIAM Journal on Numerical Analysis 23 Multiscale Modeling & Simulation 23 Communications in Computational Physics 21 Computer Physics Communications 20 Computers and Fluids 20 The Journal of Fourier Analysis and Applications 19 Journal of Mathematical Analysis and Applications 17 Wave Motion 17 Computing 17 Applied Mathematical Modelling 16 Inverse Problems 15 Journal of Mathematical Physics 15 Mathematical Methods in the Applied Sciences 14 SIAM Review 13 Journal of Fluid Mechanics 13 Journal of Integral Equations and Applications 13 Numerical Linear Algebra with Applications 12 Mathematics and Computers in Simulation 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 COMPEL 11 Physics of Fluids 10 Journal of Engineering Mathematics 10 Applied Mathematics Letters 9 Communications in Numerical Methods in Engineering 9 Computing and Visualization in Science 9 Journal of Computational Acoustics 9 Advances in Applied Mathematics and Mechanics 8 Applicable Analysis 8 International Journal for Numerical Methods in Fluids 8 Computational and Applied Mathematics 8 International Journal of Computational Methods 8 SIAM Journal on Imaging Sciences 7 Journal of the Mechanics and Physics of Solids 7 Numerical Methods for Partial Differential Equations 7 Communications in Nonlinear Science and Numerical Simulation 7 Combustion Theory and Modelling 7 Foundations of Computational Mathematics 7 International Journal of Wavelets, Multiresolution and Information Processing 7 Science China. Mathematics 6 Calcolo 6 SIAM Journal on Applied Mathematics 6 Mathematical Problems in Engineering 6 Journal of Numerical Mathematics 6 Acta Numerica 6 Inverse Problems in Science and Engineering 5 Communications on Pure and Applied Mathematics 5 Journal of Differential Equations 5 Numerical Functional Analysis and Optimization 5 Computational Mathematics and Mathematical Physics 5 Proceedings of the National Academy of Sciences of the United States of America 5 Journal of Mathematical Sciences (New York) 5 Abstract and Applied Analysis 5 Computational Methods in Applied Mathematics 5 Journal of Machine Learning Research (JMLR) 5 Waves in Random and Complex Media 5 Research in the Mathematical Sciences 4 International Journal of Solids and Structures 4 Molecular Simulation 4 ACM Transactions on Mathematical Software 4 Information Sciences 4 Integral Equations and Operator Theory 4 Journal of Approximation Theory 4 Quarterly of Applied Mathematics 4 Theoretical Computer Science 4 Mathematical and Computer Modelling 4 The Journal of Geometric Analysis 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Vibration and Control 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Journal of Turbulence 4 Journal of Applied Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Advances in Difference Equations 4 Communications in Applied Mathematics and Computational Science 4 GEM - International Journal on Geomathematics 4 Statistics and Computing 4 Computational Methods for Differential Equations 3 International Journal of Engineering Science 3 Information Processing Letters 3 Journal of Statistical Physics ...and 234 more Serials all top 5 Cited in 50 Fields 2,044 Numerical analysis (65-XX) 615 Partial differential equations (35-XX) 482 Fluid mechanics (76-XX) 293 Optics, electromagnetic theory (78-XX) 278 Mechanics of deformable solids (74-XX) 217 Integral equations (45-XX) 215 Harmonic analysis on Euclidean spaces (42-XX) 146 Approximations and expansions (41-XX) 129 Linear and multilinear algebra; matrix theory (15-XX) 120 Computer science (68-XX) 100 Special functions (33-XX) 91 Ordinary differential equations (34-XX) 85 Statistics (62-XX) 78 Statistical mechanics, structure of matter (82-XX) 74 Biology and other natural sciences (92-XX) 74 Information and communication theory, circuits (94-XX) 72 Probability theory and stochastic processes (60-XX) 61 Potential theory (31-XX) 57 Operator theory (47-XX) 56 Quantum theory (81-XX) 41 Geophysics (86-XX) 37 Integral transforms, operational calculus (44-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 33 Classical thermodynamics, heat transfer (80-XX) 28 Real functions (26-XX) 28 Functions of a complex variable (30-XX) 28 Mechanics of particles and systems (70-XX) 24 Dynamical systems and ergodic theory (37-XX) 24 Operations research, mathematical programming (90-XX) 22 Functional analysis (46-XX) 17 Systems theory; control (93-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Astronomy and astrophysics (85-XX) 12 Combinatorics (05-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Number theory (11-XX) 9 Field theory and polynomials (12-XX) 7 Measure and integration (28-XX) 5 Difference and functional equations (39-XX) 5 Abstract harmonic analysis (43-XX) 3 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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