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Author ID: rokhlin.vladimir Recent zbMATH articles by "Rokhlin, Vladimir"
Published as: Rokhlin, Vladimir; Rokhlin, V.
Homepage: http://cpsc.yale.edu/people/vladimir-rokhlin
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 101 Publications since 1983, including 1 Book and 5 Additional arXiv Preprints
Co-Authors: 61 Co-Authors with 92 Joint Publications
952 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 5,847 times in 3,211 Documents Cited by Year
A fast algorithm for particle simulations. Zbl 0629.65005
Greengard, L.; Rokhlin, V.
1987
Fast wavelet transforms and numerical algorithms. I. Zbl 0722.65022
Beylkin, G.; Coifman, R.; Rokhlin, V.
431
1991
Rapid solution of integral equations of classical potential theory. Zbl 0629.65122
Rokhlin, V.
377
1985
A new version of the fast multipole method for the Laplace equation in three dimensions. Zbl 0889.65115
Greengard, Leslie; Rokhlin, Vladimir
259
1997
Spectral deferred correction methods for ordinary differential equations. Zbl 0959.65084
Dutt, Alok; Greengard, Leslie; Rokhlin, Vladimir
221
2000
A fast adaptive multipole algorithm in three dimensions. Zbl 0937.65126
Cheng, H.; Greengard, L.; Rokhlin, V.
180
1999
A fast adaptive multipole algorithm for particle simulations. Zbl 0656.65004
Carrier, J.; Greengard, L.; Rokhlin, V.
171
1988
Fast Fourier transforms for nonequispaced data. Zbl 0791.65108
Dutt, A.; Rokhlin, V.
147
1993
Rapid solution of integral equations of scattering theory in two dimensions. Zbl 0686.65079
Rokhlin, V.
142
1990
Randomized algorithms for the low-rank approximation of matrices. Zbl 1215.65080
Liberty, Edo; Woolfe, Franco; Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
142
2007
Diagonal forms of translation operators for the Helmholtz equation in three dimensions. Zbl 0795.35021
Rokhlin, V.
128
1993
A fast direct solver for boundary integral equations in two dimensions. Zbl 1078.65112
Martinsson, P. G.; Rokhlin, V.
123
2005
On the compression of low rank matrices. Zbl 1083.65042
Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V.
114
2005
Wavelet-like bases for the fast solution of second-kind integral equations. Zbl 0771.65088
Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V.
110
1993
A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035
Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark
101
2008
A wideband fast multipole method for the Helmholtz equation in three dimensions. Zbl 1093.65117
Cheng, Hongwei; Crutchfield, William Y.; Gimbutas, Zydrunas; Greengard, Leslie F.; Ethridge, J. Frank; Huang, Jingfang; Rokhlin, Vladimir; Yarvin, Norman; Zhao, Junsheng
96
2006
The rapid evaluation of potential fields in three dimensions. Zbl 0661.70006
Greengard, L.; Rokhlin, V.
96
1988
Prolate spheroidal wavefunctions, quadrature and interpolation. Zbl 0991.65024
Xiao, H.; Rokhlin, V.; Yarvin, N.
88
2001
Generalized Gaussian quadrature rules for systems of arbitrary functions. Zbl 0858.65015
Ma, J.; Rokhlin, V.; Wandzura, S.
79
1996
A randomized algorithm for the decomposition of matrices. Zbl 1210.65095
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
76
2011
Generalized Gaussian quadratures and singular value decompositions of integral operators. Zbl 0932.65020
Yarvin, N.; Rokhlin, V.
74
1999
Fast direct solvers for integral equations in complex three-dimensional domains. Zbl 1176.65141
Greengard, Leslie; Gueyffier, Denis; Martinsson, Per-Gunnar; Rokhlin, Vladimir
67
2009
A nonlinear optimization procedure for generalized Gaussian quadratures. Zbl 1215.65045
Bremer, James; Gimbutas, Zydrunas; Rokhlin, Vladimir
67
2010
A fast algorithm for the evaluation of Legendre expansions. Zbl 0726.65018
Alpert, Bradley K.; Rokhlin, Vladimir
67
1991
Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation. Zbl 1287.65015
Osipov, Andrei; Rokhlin, Vladimir; Xiao, Hong
66
2013
High-order corrected trapezoidal quadrature rules for singular functions. Zbl 0891.65019
Kapur, Sharad; Rokhlin, Vladimir
65
1997
A fast algorithm for the calculation of the roots of special functions. Zbl 1145.65015
Glaser, Andreas; Liu, Xiangtao; Rokhlin, Vladimir
65
2007
A randomized algorithm for principal component analysis. Zbl 1198.65035
Rokhlin, Vladimir; Szlam, Arthur; Tygert, Mark
55
2010
A fast algorithm for particle simulations. Zbl 0898.70002
Greengard, L.; Rokhlin, V.
51
1997
A fast randomized algorithm for overdetermined linear least-squares regression. Zbl 1513.62144
Rokhlin, Vladimir; Tygert, Mark
49
2008
Universal quadratures for boundary integral equations on two-dimensional domains with corners. Zbl 1201.65213
Bremer, James; Rokhlin, Vladimir; Sammis, Ian
49
2010
Numerical quadratures for singular and hypersingular integrals. Zbl 0985.65016
Kolm, P.; Rokhlin, V.
46
2001
Fast algorithms for polynomial interpolation, integration, and differentiation. Zbl 0862.65005
Dutt, A.; Gu, M.; Rokhlin, V.
42
1996
An accelerated kernel-independent fast multipole method in one dimension. Zbl 1154.65318
Martinsson, P. G.; Rokhlin, V.
40
2007
Solution of acoustic scattering problems by means of second kind integral equations. Zbl 0522.73022
Rokhlin, V.
37
1983
An algorithm for the rapid evaluation of special function transforms. Zbl 1191.65016
O’Neil, Michael; Woolfe, Franco; Rokhlin, Vladimir
35
2010
A generalized fast multipole method for nonoscillatory kernels. Zbl 1035.65137
Gimbutas, Zydrunas; Rokhlin, Vladimir
33
2002
A fast algorithm for the inversion of general Toeplitz matrices. Zbl 1087.65025
Martinsson, P. G.; Rokhlin, V.; Tygert, M.
33
2005
Fast Fourier transforms for nonequispaced data. II. Zbl 0822.65130
Dutt, A.; Rokhlin, V.
32
1995
On the numerical solution of two-point boundary value problems. Zbl 0727.65068
Greengard, L.; Rokhlin, V.
31
1991
An improved fast multipole algorithm for potential fields. Zbl 0915.65116
Hrycak, Tomasz; Rokhlin, Vladimir
28
1998
Fast algorithms for spherical harmonic expansions. Zbl 1104.65134
Rokhlin, Vladimir; Tygert, Mark
27
2006
An adaptive fast direct solver for boundary integral equations in two dimensions. Zbl 1227.65118
Kong, Wai Yip; Bremer, James; Rokhlin, Vladimir
27
2011
Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit. Zbl 1110.41010
Rokhlin, Vladimir; Xiao, Hong
26
2007
An improved fast multipole algorithm for potential fields on the line. Zbl 0973.65106
Yarvin, Norman; Rokhlin, Vladimir
26
1998
Nonlinear optimization, quadrature, and interpolation. Zbl 1032.90528
Cheng, H.; Rokhlin, V.; Yarvin, N.
25
1999
Efficient discretization of Laplace boundary integral equations on polygonal domains. Zbl 1185.65219
Bremer, James; Rokhlin, Vladimir
25
2010
A fast direct solver for scattering problems involving elongated structures. Zbl 1111.65109
Martinsson, P. G.; Rokhlin, V.
24
2007
An improved operator expansion algorithm for direct and inverse scattering computations. Zbl 0973.76080
Coifman, R.; Goldberg, M.; Hrycak, T.; Israeli, M.; Rokhlin, V.
24
1999
On the solution of elliptic partial differential equations on regions with corners. Zbl 1349.35049
Serkh, Kirill; Rokhlin, Vladimir
23
2016
Approximation of bandlimited functions. Zbl 1110.65023
Shkolnisky, Yoel; Tygert, Mark; Rokhlin, Vladimir
23
2006
On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
23
2006
Second kind integral equations for the classical potential theory on open surfaces. II. Zbl 1050.65118
Jiang, Shidong; Rokhlin, Vladimir
22
2004
Remarks on the implementation of the wideband FMM for the Helmholtz equation in two dimensions. Zbl 1107.65107
Cheng, H.; Crutchfield, W.; Gimbutas, Z.; Greengard, L.; Huang, J.; Rokhlin, V.; Yarvin, N.; Zhao, J.
20
2006
Spectra of multiplication operators as a numerical tool. Zbl 1292.65028
Vioreanu, B.; Rokhlin, V.
20
2014
The fast multipole method (FMM) for electromagnetic scattering problems. Zbl 0947.78614
Engheta, Nader; Murphy, William D.; Rokhlin, Vladimir; Vassiliou, Marius S.
20
1992
High-order quadratures for the solution of scattering problems in two dimensions. Zbl 1161.65358
Duan, Ran; Rokhlin, Vladimir
20
2009
On the inverse scattering problem for the Helmholtz equation in one dimension. Zbl 0760.34017
Chen, Y.; Rokhlin, V.
18
1992
End-point corrected trapezoidal quadrature rules for singular functions. Zbl 0716.65017
Rokhlin, V.
18
1990
Wavelets in numerical analysis. Zbl 0798.65126
Beylkin, G.; Coifman, R.; Rokhlin, V.
18
1992
On the numerical solution of two-point boundary value problems. II. Zbl 0805.65080
Starr, Page; Rokhlin, Vladimir
18
1994
Quadruple and octuple layer potentials in two dimensions. I: Analytical apparatus. Zbl 1139.35397
Kolm, Petter; Jiang, Shidong; Rokhlin, Vladimir
16
2003
A fast algorithm for the discrete Laplace transformation. Zbl 0646.65094
Rokhlin, V.
15
1988
A fast algorithm for the numerical evaluation of conformal mappings. Zbl 0672.30006
O’Donnell, S. T.; Rokhlin, V.
15
1989
On the evaluation of prolate spheroidal wave functions and associated quadrature rules. Zbl 1302.65061
Osipov, Andrei; Rokhlin, Vladimir
14
2014
A generalized one-dimensional fast multipole method with application to filtering of spherical harmonics. Zbl 0927.65138
Yarvin, Norman; Rokhlin, Vladimir
13
1998
On the asymptotics of Bessel functions in the Fresnel regime. Zbl 1321.33007
Heitman, Zhu; Bremer, James; Rokhlin, Vladimir; Vioreanu, Bogdan
12
2015
A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions. Zbl 1247.65029
Kong, Wai Yip; Rokhlin, Vladimir
12
2012
A fast divide-and-conquer algorithm for computing the spectra of real symmetric tridiagonal matrices. Zbl 1264.65051
Coakley, Ed S.; Rokhlin, Vladimir
12
2013
A fast direct algorithm for the solution of the Laplace equation on regions with fractal boundaries. Zbl 0810.65097
Jones, P.; Ma, J.; Rokhlin, V.
11
1994
Improved estimates for nonoscillatory phase functions. Zbl 1343.34034
Bremer, James; Rokhlin, Vladimir
10
2016
On the solution of the Helmholtz equation on regions with corners. Zbl 1355.35052
Serkh, Kirill; Rokhlin, Vladimir
10
2016
A new class of highly accurate solvers for ordinary differential equations. Zbl 1203.65102
Glaser, Andreas; Rokhlin, Vladimir
10
2009
High-frequency asymptotic expansions for certain prolate spheroidal wave functions. Zbl 1054.33017
Xiao, Hong; Rokhlin, Vladimir
10
2003
On the existence of nonoscillatory phase functions for second order ordinary differential equations in the high-frequency regime. Zbl 1349.34037
Heitman, Zhu; Bremer, James; Rokhlin, Vladimir
9
2015
On the analytical and numerical properties of the truncated Laplace transform. I. Zbl 1317.65248
Lederman, R. R.; Rokhlin, V.
9
2015
A highly accurate solver for stiff ordinary differential equations. Zbl 1246.65103
Kushnir, Dan; Rokhlin, Vladimir
9
2012
A randomized approximate nearest neighbors algorithm. Zbl 1262.68188
Jones, Peter W.; Osipov, Andrei; Rokhlin, Vladimir
8
2013
On the analytical and numerical properties of the truncated Laplace transform. II. Zbl 1336.33043
Lederman, R. R.; Rokhlin, V.
7
2016
Sparse diagonal forms for translation operators for the Helmholtz equation in two dimensions. Zbl 0890.65116
Rokhlin, V.
7
1998
A fast randomized algorithm for orthogonal projection. Zbl 1368.65061
Coakley, E. S.; Rokhlin, V.; Tygert, M.
7
2011
Fitting a bandlimited curve to points in a plane. Zbl 1297.65017
Beylkin, Daniel; Rokhlin, Vladimir
6
2014
On the Riccati equations for the scattering matrices in two dimensions. Zbl 0870.35078
Chen, Y.; Rokhlin, V.
6
1997
A fast simple algorithm for computing the potential of charges on a line. Zbl 1446.31009
Gimbutas, Zydrunas; Marshall, Nicholas F.; Rokhlin, Vladimir
6
2020
On the numerical solution of elliptic partial differential equations on polygonal domains. Zbl 1426.65212
Hoskins, Jeremy G.; Rokhlin, Vladimir; Serkh, Kirill
5
2019
A fast summation method for oscillatory lattice sums. Zbl 1391.35116
Denlinger, Ryan; Gimbutas, Zydrunas; Greengard, Leslie; Rokhlin, Vladimir
5
2017
Fast wavelet transforms and numerical algorithms. I. Zbl 0756.65148
Beylkin, G.; Coifman, R.; Rokhlin, V.
5
1992
On the inverse scattering problem in the acoustic environment. Zbl 1168.65050
Chen, Yu; Duan, Ran; Rokhlin, Vladimir
5
2008
Second kind integral equations for the classical potential theory on open surfaces I: Analytical apparatus. Zbl 1035.65140
Jiang, Shidong; Rokhlin, Vladimir
4
2003
Application of volume integrals to the solution of partial differential equations. Zbl 0608.65074
Rokhlin, Vladimir
4
1985
An algorithm for the evaluation of the incomplete gamma function. Zbl 1428.33002
Greengard, Philip; Rokhlin, Vladimir
2
2019
On the numerical solution of fourth-order linear two-point boundary value problems. Zbl 1444.65038
Leeb, William; Rokhlin, Vladimir
2
2020
Analysis-based fast numerical algorithms of applied mathematics. Zbl 0839.65127
Rokhlin, Vladimir
1
1995
A fast simple algorithm for computing the potential of charges on a line. Zbl 1446.31009
Gimbutas, Zydrunas; Marshall, Nicholas F.; Rokhlin, Vladimir
6
2020
On the numerical solution of fourth-order linear two-point boundary value problems. Zbl 1444.65038
Leeb, William; Rokhlin, Vladimir
2
2020
On the numerical solution of elliptic partial differential equations on polygonal domains. Zbl 1426.65212
Hoskins, Jeremy G.; Rokhlin, Vladimir; Serkh, Kirill
5
2019
An algorithm for the evaluation of the incomplete gamma function. Zbl 1428.33002
Greengard, Philip; Rokhlin, Vladimir
2
2019
A fast summation method for oscillatory lattice sums. Zbl 1391.35116
Denlinger, Ryan; Gimbutas, Zydrunas; Greengard, Leslie; Rokhlin, Vladimir
5
2017
On the solution of elliptic partial differential equations on regions with corners. Zbl 1349.35049
Serkh, Kirill; Rokhlin, Vladimir
23
2016
Improved estimates for nonoscillatory phase functions. Zbl 1343.34034
Bremer, James; Rokhlin, Vladimir
10
2016
On the solution of the Helmholtz equation on regions with corners. Zbl 1355.35052
Serkh, Kirill; Rokhlin, Vladimir
10
2016
On the analytical and numerical properties of the truncated Laplace transform. II. Zbl 1336.33043
Lederman, R. R.; Rokhlin, V.
7
2016
On the asymptotics of Bessel functions in the Fresnel regime. Zbl 1321.33007
Heitman, Zhu; Bremer, James; Rokhlin, Vladimir; Vioreanu, Bogdan
12
2015
On the existence of nonoscillatory phase functions for second order ordinary differential equations in the high-frequency regime. Zbl 1349.34037
Heitman, Zhu; Bremer, James; Rokhlin, Vladimir
9
2015
On the analytical and numerical properties of the truncated Laplace transform. I. Zbl 1317.65248
Lederman, R. R.; Rokhlin, V.
9
2015
Spectra of multiplication operators as a numerical tool. Zbl 1292.65028
Vioreanu, B.; Rokhlin, V.
20
2014
On the evaluation of prolate spheroidal wave functions and associated quadrature rules. Zbl 1302.65061
Osipov, Andrei; Rokhlin, Vladimir
14
2014
Fitting a bandlimited curve to points in a plane. Zbl 1297.65017
Beylkin, Daniel; Rokhlin, Vladimir
6
2014
Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation. Zbl 1287.65015
Osipov, Andrei; Rokhlin, Vladimir; Xiao, Hong
66
2013
A fast divide-and-conquer algorithm for computing the spectra of real symmetric tridiagonal matrices. Zbl 1264.65051
Coakley, Ed S.; Rokhlin, Vladimir
12
2013
A randomized approximate nearest neighbors algorithm. Zbl 1262.68188
Jones, Peter W.; Osipov, Andrei; Rokhlin, Vladimir
8
2013
A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions. Zbl 1247.65029
Kong, Wai Yip; Rokhlin, Vladimir
12
2012
A highly accurate solver for stiff ordinary differential equations. Zbl 1246.65103
Kushnir, Dan; Rokhlin, Vladimir
9
2012
A randomized algorithm for the decomposition of matrices. Zbl 1210.65095
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
76
2011
An adaptive fast direct solver for boundary integral equations in two dimensions. Zbl 1227.65118
Kong, Wai Yip; Bremer, James; Rokhlin, Vladimir
27
2011
A fast randomized algorithm for orthogonal projection. Zbl 1368.65061
Coakley, E. S.; Rokhlin, V.; Tygert, M.
7
2011
A nonlinear optimization procedure for generalized Gaussian quadratures. Zbl 1215.65045
Bremer, James; Gimbutas, Zydrunas; Rokhlin, Vladimir
67
2010
A randomized algorithm for principal component analysis. Zbl 1198.65035
Rokhlin, Vladimir; Szlam, Arthur; Tygert, Mark
55
2010
Universal quadratures for boundary integral equations on two-dimensional domains with corners. Zbl 1201.65213
Bremer, James; Rokhlin, Vladimir; Sammis, Ian
49
2010
An algorithm for the rapid evaluation of special function transforms. Zbl 1191.65016
O’Neil, Michael; Woolfe, Franco; Rokhlin, Vladimir
35
2010
Efficient discretization of Laplace boundary integral equations on polygonal domains. Zbl 1185.65219
Bremer, James; Rokhlin, Vladimir
25
2010
Fast direct solvers for integral equations in complex three-dimensional domains. Zbl 1176.65141
Greengard, Leslie; Gueyffier, Denis; Martinsson, Per-Gunnar; Rokhlin, Vladimir
67
2009
High-order quadratures for the solution of scattering problems in two dimensions. Zbl 1161.65358
Duan, Ran; Rokhlin, Vladimir
20
2009
A new class of highly accurate solvers for ordinary differential equations. Zbl 1203.65102
Glaser, Andreas; Rokhlin, Vladimir
10
2009
A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035
Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark
101
2008
A fast randomized algorithm for overdetermined linear least-squares regression. Zbl 1513.62144
Rokhlin, Vladimir; Tygert, Mark
49
2008
On the inverse scattering problem in the acoustic environment. Zbl 1168.65050
Chen, Yu; Duan, Ran; Rokhlin, Vladimir
5
2008
Randomized algorithms for the low-rank approximation of matrices. Zbl 1215.65080
Liberty, Edo; Woolfe, Franco; Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
142
2007
A fast algorithm for the calculation of the roots of special functions. Zbl 1145.65015
Glaser, Andreas; Liu, Xiangtao; Rokhlin, Vladimir
65
2007
An accelerated kernel-independent fast multipole method in one dimension. Zbl 1154.65318
Martinsson, P. G.; Rokhlin, V.
40
2007
Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit. Zbl 1110.41010
Rokhlin, Vladimir; Xiao, Hong
26
2007
A fast direct solver for scattering problems involving elongated structures. Zbl 1111.65109
Martinsson, P. G.; Rokhlin, V.
24
2007
A wideband fast multipole method for the Helmholtz equation in three dimensions. Zbl 1093.65117
Cheng, Hongwei; Crutchfield, William Y.; Gimbutas, Zydrunas; Greengard, Leslie F.; Ethridge, J. Frank; Huang, Jingfang; Rokhlin, Vladimir; Yarvin, Norman; Zhao, Junsheng
96
2006
Fast algorithms for spherical harmonic expansions. Zbl 1104.65134
Rokhlin, Vladimir; Tygert, Mark
27
2006
Approximation of bandlimited functions. Zbl 1110.65023
Shkolnisky, Yoel; Tygert, Mark; Rokhlin, Vladimir
23
2006
On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
23
2006
Remarks on the implementation of the wideband FMM for the Helmholtz equation in two dimensions. Zbl 1107.65107
Cheng, H.; Crutchfield, W.; Gimbutas, Z.; Greengard, L.; Huang, J.; Rokhlin, V.; Yarvin, N.; Zhao, J.
20
2006
A fast direct solver for boundary integral equations in two dimensions. Zbl 1078.65112
Martinsson, P. G.; Rokhlin, V.
123
2005
On the compression of low rank matrices. Zbl 1083.65042
Cheng, H.; Gimbutas, Z.; Martinsson, P. G.; Rokhlin, V.
114
2005
A fast algorithm for the inversion of general Toeplitz matrices. Zbl 1087.65025
Martinsson, P. G.; Rokhlin, V.; Tygert, M.
33
2005
Second kind integral equations for the classical potential theory on open surfaces. II. Zbl 1050.65118
Jiang, Shidong; Rokhlin, Vladimir
22
2004
Quadruple and octuple layer potentials in two dimensions. I: Analytical apparatus. Zbl 1139.35397
Kolm, Petter; Jiang, Shidong; Rokhlin, Vladimir
16
2003
High-frequency asymptotic expansions for certain prolate spheroidal wave functions. Zbl 1054.33017
Xiao, Hong; Rokhlin, Vladimir
10
2003
Second kind integral equations for the classical potential theory on open surfaces I: Analytical apparatus. Zbl 1035.65140
Jiang, Shidong; Rokhlin, Vladimir
4
2003
A generalized fast multipole method for nonoscillatory kernels. Zbl 1035.65137
Gimbutas, Zydrunas; Rokhlin, Vladimir
33
2002
Prolate spheroidal wavefunctions, quadrature and interpolation. Zbl 0991.65024
Xiao, H.; Rokhlin, V.; Yarvin, N.
88
2001
Numerical quadratures for singular and hypersingular integrals. Zbl 0985.65016
Kolm, P.; Rokhlin, V.
46
2001
Spectral deferred correction methods for ordinary differential equations. Zbl 0959.65084
Dutt, Alok; Greengard, Leslie; Rokhlin, Vladimir
221
2000
A fast adaptive multipole algorithm in three dimensions. Zbl 0937.65126
Cheng, H.; Greengard, L.; Rokhlin, V.
180
1999
Generalized Gaussian quadratures and singular value decompositions of integral operators. Zbl 0932.65020
Yarvin, N.; Rokhlin, V.
74
1999
Nonlinear optimization, quadrature, and interpolation. Zbl 1032.90528
Cheng, H.; Rokhlin, V.; Yarvin, N.
25
1999
An improved operator expansion algorithm for direct and inverse scattering computations. Zbl 0973.76080
Coifman, R.; Goldberg, M.; Hrycak, T.; Israeli, M.; Rokhlin, V.
24
1999
An improved fast multipole algorithm for potential fields. Zbl 0915.65116
Hrycak, Tomasz; Rokhlin, Vladimir
28
1998
An improved fast multipole algorithm for potential fields on the line. Zbl 0973.65106
Yarvin, Norman; Rokhlin, Vladimir
26
1998
A generalized one-dimensional fast multipole method with application to filtering of spherical harmonics. Zbl 0927.65138
Yarvin, Norman; Rokhlin, Vladimir
13
1998
Sparse diagonal forms for translation operators for the Helmholtz equation in two dimensions. Zbl 0890.65116
Rokhlin, V.
7
1998
A new version of the fast multipole method for the Laplace equation in three dimensions. Zbl 0889.65115
Greengard, Leslie; Rokhlin, Vladimir
259
1997
High-order corrected trapezoidal quadrature rules for singular functions. Zbl 0891.65019
Kapur, Sharad; Rokhlin, Vladimir
65
1997
A fast algorithm for particle simulations. Zbl 0898.70002
Greengard, L.; Rokhlin, V.
51
1997
On the Riccati equations for the scattering matrices in two dimensions. Zbl 0870.35078
Chen, Y.; Rokhlin, V.
6
1997
Generalized Gaussian quadrature rules for systems of arbitrary functions. Zbl 0858.65015
Ma, J.; Rokhlin, V.; Wandzura, S.
79
1996
Fast algorithms for polynomial interpolation, integration, and differentiation. Zbl 0862.65005
Dutt, A.; Gu, M.; Rokhlin, V.
42
1996
Fast Fourier transforms for nonequispaced data. II. Zbl 0822.65130
Dutt, A.; Rokhlin, V.
32
1995
Analysis-based fast numerical algorithms of applied mathematics. Zbl 0839.65127
Rokhlin, Vladimir
1
1995
On the numerical solution of two-point boundary value problems. II. Zbl 0805.65080
Starr, Page; Rokhlin, Vladimir
18
1994
A fast direct algorithm for the solution of the Laplace equation on regions with fractal boundaries. Zbl 0810.65097
Jones, P.; Ma, J.; Rokhlin, V.
11
1994
Fast Fourier transforms for nonequispaced data. Zbl 0791.65108
Dutt, A.; Rokhlin, V.
147
1993
Diagonal forms of translation operators for the Helmholtz equation in three dimensions. Zbl 0795.35021
Rokhlin, V.
128
1993
Wavelet-like bases for the fast solution of second-kind integral equations. Zbl 0771.65088
Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V.
110
1993
The fast multipole method (FMM) for electromagnetic scattering problems. Zbl 0947.78614
Engheta, Nader; Murphy, William D.; Rokhlin, Vladimir; Vassiliou, Marius S.
20
1992
On the inverse scattering problem for the Helmholtz equation in one dimension. Zbl 0760.34017
Chen, Y.; Rokhlin, V.
18
1992
Wavelets in numerical analysis. Zbl 0798.65126
Beylkin, G.; Coifman, R.; Rokhlin, V.
18
1992
Fast wavelet transforms and numerical algorithms. I. Zbl 0756.65148
Beylkin, G.; Coifman, R.; Rokhlin, V.
5
1992
Fast wavelet transforms and numerical algorithms. I. Zbl 0722.65022
Beylkin, G.; Coifman, R.; Rokhlin, V.
431
1991
A fast algorithm for the evaluation of Legendre expansions. Zbl 0726.65018
Alpert, Bradley K.; Rokhlin, Vladimir
67
1991
On the numerical solution of two-point boundary value problems. Zbl 0727.65068
Greengard, L.; Rokhlin, V.
31
1991
Rapid solution of integral equations of scattering theory in two dimensions. Zbl 0686.65079
Rokhlin, V.
142
1990
End-point corrected trapezoidal quadrature rules for singular functions. Zbl 0716.65017
Rokhlin, V.
18
1990
A fast algorithm for the numerical evaluation of conformal mappings. Zbl 0672.30006
O’Donnell, S. T.; Rokhlin, V.
15
1989
A fast adaptive multipole algorithm for particle simulations. Zbl 0656.65004
Carrier, J.; Greengard, L.; Rokhlin, V.
171
1988
The rapid evaluation of potential fields in three dimensions. Zbl 0661.70006
Greengard, L.; Rokhlin, V.
96
1988
A fast algorithm for the discrete Laplace transformation. Zbl 0646.65094
Rokhlin, V.
15
1988
A fast algorithm for particle simulations. Zbl 0629.65005
Greengard, L.; Rokhlin, V.
1987
Rapid solution of integral equations of classical potential theory. Zbl 0629.65122
Rokhlin, V.
377
1985
Application of volume integrals to the solution of partial differential equations. Zbl 0608.65074
Rokhlin, Vladimir
4
1985
Solution of acoustic scattering problems by means of second kind integral equations. Zbl 0522.73022
Rokhlin, V.
37
1983
all top 5

Cited by 4,370 Authors

54 Greengard, Leslie F.
48 Ying, Lexing
44 Rokhlin, Vladimir
33 Martinsson, Per-Gunnar
32 Beylkin, Gregory
30 Darve, Eric
30 Jiang, Shidong
28 Harbrecht, Helmut
28 Huang, Jingfang
25 Barnett, Alex H.
25 Helsing, Johan
23 Rachh, Manas
22 Bremer, James C.
22 Liu, Yijun
22 Minion, Michael L.
21 Cai, Wei
20 Börm, Steffen
20 Nicholls, David P.
20 Xiang, Shuhuang
19 Christlieb, Andrew J.
19 O’Neil, Michael
17 Chen, Wen
17 Potts, Daniel
17 Tornberg, Anna-Karin
17 Xia, Jianlin
16 Biros, George
16 Huybrechs, Daan
15 Pan, Victor Yakovlevich
14 Bebendorf, Mario
14 Boyd, John Philip
14 Gillman, Adrianna
14 Khoromskiĭ, Boris Nikolaevich
14 Takahashi, Toru
13 Bruno, Oscar P.
13 Chaillat, Stéphanie
13 Chen, Haibo
13 Dehghan Takht Fooladi, Mehdi
13 Karoui, Abderrazek
13 Monzón, Lucas
13 Qin, Qinghua
13 Speck, Robert
13 Veerapaneni, Shravan Kumar
13 Yang, Haizhao
13 Zheng, Changjun
12 Antoine, Xavier
12 Fu, Zhuojia
12 Koumoutsakos, Petros D.
12 Ma, Hang
12 Of, Günther
12 Xiao, Jinyou
12 Xu, Yuesheng
12 Xu, Zhenli
11 Averbuch, Amir Z.
11 Cho, Minhyung
11 Lai, Jun
11 Li, Junpu
11 Ravnik, Jure
11 Townsend, Alex
11 Tygert, Mark
11 Walther, Jens Honoré
11 Ying, Wenjun
10 Barba, Lorena A.
10 Claeys, Xavier
10 Demanet, Laurent
10 Gu, Yan
10 Ho, Kenneth L.
10 Kropinski, Mary Catherine A.
10 Lin, Lin
10 Nemati Saray, Behzad
10 Nishimura, Naoshi
10 Ruprecht, Daniel
10 Schneider, Reinhold
10 Xi, Yuanzhe
9 Bonnet, Marc
9 Dahmen, Wolfgang A.
9 Gimbutas, Zydrunas
9 Grünbaum, Francisco Alberto
9 Klöckner, Andreas
9 Krasny, Robert
9 Labovsky, Alexander E.
9 Lakestani, Mehrdad
9 Li, Yingzhou
9 Lowengrub, John Samuel
9 Lu, Jianfeng
9 Matsumoto, Toshiro
9 Qu, Wenzhen
9 Quaife, Bryan D.
9 Serkh, Kirill
9 Tausch, Johannes
9 Tropp, Joel A.
9 Wang, Lilian
9 Wei, Yimin
9 Xu, Yan
8 Abgrall, Rémi
8 Ambikasaran, Sivaram
8 Chen, Zhongying
8 Chow, Edmond
8 Dölz, Jürgen
8 Fan, Yuwei
8 Hagstrom, Thomas M.
...and 4,270 more Authors
all top 5

Cited in 358 Serials

576 Journal of Computational Physics
179 Engineering Analysis with Boundary Elements
148 SIAM Journal on Scientific Computing
126 Journal of Computational and Applied Mathematics
100 Applied and Computational Harmonic Analysis
89 Journal of Scientific Computing
83 Computer Methods in Applied Mechanics and Engineering
74 Computers & Mathematics with Applications
70 Advances in Computational Mathematics
63 Applied Mathematics and Computation
63 Applied Numerical Mathematics
59 Computer Physics Communications
56 International Journal for Numerical Methods in Engineering
49 SIAM Journal on Matrix Analysis and Applications
47 Numerical Algorithms
41 Numerische Mathematik
40 Mathematics of Computation
34 BIT
31 Computational Mechanics
28 SIAM Journal on Numerical Analysis
27 International Journal of Computer Mathematics
27 Linear Algebra and its Applications
26 Numerical Linear Algebra with Applications
26 Communications in Computational Physics
25 Multiscale Modeling & Simulation
23 Mathematical Methods in the Applied Sciences
23 Applied Mathematical Modelling
21 Computers and Fluids
21 Inverse Problems
21 The Journal of Fourier Analysis and Applications
19 Journal of Mathematical Analysis and Applications
18 Wave Motion
18 Computing and Visualization in Science
17 Computing
16 Journal of Mathematical Physics
16 Numerical Methods for Partial Differential Equations
15 SIAM Review
14 Journal of Fluid Mechanics
14 Mathematics and Computers in Simulation
14 Journal of Integral Equations and Applications
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Communications on Pure and Applied Mathematics
11 COMPEL
11 Applied Mathematics Letters
11 Physics of Fluids
11 Communications in Nonlinear Science and Numerical Simulation
10 Journal of Engineering Mathematics
9 International Journal for Numerical Methods in Fluids
9 Studies in Applied Mathematics
9 Communications in Numerical Methods in Engineering
9 Computational and Applied Mathematics
9 Computational Methods in Applied Mathematics
9 Journal of Computational Acoustics
9 SIAM Journal on Imaging Sciences
9 Advances in Applied Mathematics and Mechanics
8 Applicable Analysis
8 Journal of the Mechanics and Physics of Solids
8 Calcolo
8 International Journal of Computational Methods
7 ACM Transactions on Mathematical Software
7 Mathematical Problems in Engineering
7 Foundations of Computational Mathematics
7 International Journal of Wavelets, Multiresolution and Information Processing
7 Science China. Mathematics
6 SIAM Journal on Applied Mathematics
6 Journal of Mathematical Sciences (New York)
6 Combustion Theory and Modelling
6 Journal of Numerical Mathematics
6 Acta Numerica
6 Inverse Problems in Science and Engineering
6 Journal of Computational Physics: X
5 Information Sciences
5 Journal of Differential Equations
5 Numerical Functional Analysis and Optimization
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Computational Mathematics and Mathematical Physics
5 Proceedings of the National Academy of Sciences of the United States of America
5 Abstract and Applied Analysis
5 Journal of Machine Learning Research (JMLR)
5 Waves in Random and Complex Media
5 Statistics and Computing
5 Research in the Mathematical Sciences
4 International Journal of Solids and Structures
4 Molecular Simulation
4 Integral Equations and Operator Theory
4 Journal of Approximation Theory
4 Meccanica
4 Quarterly of Applied Mathematics
4 Theoretical Computer Science
4 Physica D
4 Mathematical and Computer Modelling
4 The Journal of Geometric Analysis
4 ETNA. Electronic Transactions on Numerical Analysis
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
...and 258 more Serials
all top 5

Cited in 53 Fields

2,358 Numerical analysis (65-XX)
705 Partial differential equations (35-XX)
546 Fluid mechanics (76-XX)
325 Optics, electromagnetic theory (78-XX)
312 Mechanics of deformable solids (74-XX)
239 Integral equations (45-XX)
233 Harmonic analysis on Euclidean spaces (42-XX)
165 Approximations and expansions (41-XX)
161 Linear and multilinear algebra; matrix theory (15-XX)
152 Computer science (68-XX)
112 Special functions (33-XX)
104 Ordinary differential equations (34-XX)
97 Statistics (62-XX)
94 Statistical mechanics, structure of matter (82-XX)
84 Probability theory and stochastic processes (60-XX)
81 Biology and other natural sciences (92-XX)
77 Information and communication theory, circuits (94-XX)
74 Quantum theory (81-XX)
72 Potential theory (31-XX)
64 Operator theory (47-XX)
44 Geophysics (86-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
39 Integral transforms, operational calculus (44-XX)
37 Classical thermodynamics, heat transfer (80-XX)
36 Mechanics of particles and systems (70-XX)
34 Real functions (26-XX)
30 Functions of a complex variable (30-XX)
30 Operations research, mathematical programming (90-XX)
28 Dynamical systems and ergodic theory (37-XX)
26 Functional analysis (46-XX)
20 Systems theory; control (93-XX)
16 Astronomy and astrophysics (85-XX)
14 Combinatorics (05-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Number theory (11-XX)
11 Global analysis, analysis on manifolds (58-XX)
10 Field theory and polynomials (12-XX)
9 Measure and integration (28-XX)
7 Relativity and gravitational theory (83-XX)
6 Difference and functional equations (39-XX)
5 Algebraic geometry (14-XX)
5 Abstract harmonic analysis (43-XX)
4 General and overarching topics; collections (00-XX)
3 Topological groups, Lie groups (22-XX)
2 Mathematical logic and foundations (03-XX)
2 Associative rings and algebras (16-XX)
2 Manifolds and cell complexes (57-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Mathematics education (97-XX)

Citations by Year

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