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ORCIDVladimir Rokhlin
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2020 – today
- 2023
[i9]Hanwen Zhang, Vladimir Rokhlin:
Finding roots of complex analytic functions via generalized colleague matrices. CoRR abs/2307.14494 (2023)- [i8]Abinand Gopal, Vladimir Rokhlin:
A fast procedure for the construction of quadrature formulas for bandlimited functions. CoRR abs/2307.15754 (2023) - 2022
- [j34]James Garritano
, Yuval Kluger, Vladimir Rokhlin, Kirill Serkh:
On the efficient evaluation of the azimuthal Fourier components of the Green's function for Helmholtz's equation in cylindrical coordinates. J. Comput. Phys. 471: 111585 (2022) - 2021
- [i7]Kirill Serkh, Vladimir Rokhlin:
A Provably Componentwise Backward Stable O(n2) QR Algorithm for the Diagonalization of Colleague Matrices. CoRR abs/2102.12186 (2021) - [i6]James Garritano, Yuval Kluger, Vladimir Rokhlin, Kirill Serkh:
On the Efficient Evaluation of the Azimuthal Fourier Components of the Green's Function for Helmholtz's Equation in Cylindrical Coordinates. CoRR abs/2104.12241 (2021) - 2020
- [j33]William E. Leeb, Vladimir Rokhlin:
On the Numerical Solution of Fourth-Order Linear Two-Point Boundary Value Problems. SIAM J. Sci. Comput. 42(3): A1789-A1808 (2020) - [i5]Jeremy G. Hoskins, Vladimir Rokhlin:
On the inverse scattering problem for radially-symmetric domains in two dimensions. CoRR abs/2007.15734 (2020) - [i4]Jeremy G. Hoskins, Vladimir Rokhlin:
A fast adaptive algorithm for scattering from a two dimensional radially-symmetric potential. CoRR abs/2007.15763 (2020)
2010 – 2019
- 2019
- [j32]Philip Greengard, Vladimir Rokhlin:
An algorithm for the evaluation of the incomplete gamma function. Adv. Comput. Math. 45(1): 23-49 (2019) - [j31]Jeremy G. Hoskins, Vladimir Rokhlin, Kirill Serkh:
On the Numerical Solution of Elliptic Partial Differential Equations on Polygonal Domains. SIAM J. Sci. Comput. 41(4): A2552-A2578 (2019) - [i3]Zydrunas Gimbutas, Nicholas F. Marshall, Vladimir Rokhlin:
A fast simple algorithm for computing the potential of charges on a line. CoRR abs/1907.03873 (2019) - 2017
- [j30]James Bremer, Vladimir Rokhlin:
On the nonoscillatory phase function for Legendre's differential equation. J. Comput. Phys. 350: 326-342 (2017) - [i2]William E. Leeb, Vladimir Rokhlin:
On the Numerical Solution of Fourth-Order Linear Two-Point Boundary Value Problems. CoRR abs/1711.05354 (2017) - 2016
- [j29]Kirill Serkh, Vladimir Rokhlin:
On the solution of elliptic partial differential equations on regions with corners. J. Comput. Phys. 305: 150-171 (2016) - [j28]Roy R. Lederman, Vladimir Rokhlin:
On the Analytical and Numerical Properties of the Truncated Laplace Transform. Part II. SIAM J. Numer. Anal. 54(2): 665-687 (2016) - 2015
- [j27]Zhu Heitman, James Bremer, Vladimir Rokhlin:
On the existence of nonoscillatory phase functions for second order ordinary differential equations in the high-frequency regime. J. Comput. Phys. 290: 1-27 (2015) - [j26]Roy R. Lederman, Vladimir Rokhlin:
On the Analytical and Numerical Properties of the Truncated Laplace Transform I. SIAM J. Numer. Anal. 53(3): 1214-1235 (2015) - 2014
- [j25]Bogdan Vioreanu, Vladimir Rokhlin:
Spectra of Multiplication Operators as a Numerical Tool. SIAM J. Sci. Comput. 36(1) (2014) - [j24]Daniel Beylkin, Vladimir Rokhlin:
Fitting a Bandlimited Curve to Points in a Plane. SIAM J. Sci. Comput. 36(3) (2014) - 2012
- [j23]Dan Kushnir, Vladimir Rokhlin:
A Highly Accurate Solver for Stiff Ordinary Differential Equations. SIAM J. Sci. Comput. 34(3) (2012) - 2011
- [j22]E. S. Coakley, Vladimir Rokhlin, Mark Tygert:
A Fast Randomized Algorithm for Orthogonal Projection. SIAM J. Sci. Comput. 33(2): 849-868 (2011) - 2010
- [j21]James Bremer, Vladimir Rokhlin:
Efficient discretization of Laplace boundary integral equations on polygonal domains. J. Comput. Phys. 229(7): 2507-2525 (2010) - [j20]James Bremer, Vladimir Rokhlin, Ian Sammis:
Universal quadratures for boundary integral equations on two-dimensional domains with corners. J. Comput. Phys. 229(22): 8259-8280 (2010) - [j19]James Bremer, Zydrunas Gimbutas, Vladimir Rokhlin:
A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures. SIAM J. Sci. Comput. 32(4): 1761-1788 (2010)
2000 – 2009
- 2009
- [j18]Ran Duan, Vladimir Rokhlin:
High-order quadratures for the solution of scattering problems in two dimensions. J. Comput. Phys. 228(6): 2152-2174 (2009) - [j17]Yu Chen, Ran Duan, Vladimir Rokhlin:
On the inverse scattering problem in the acoustic environment. J. Comput. Phys. 228(9): 3209-3231 (2009) - [j16]Andreas Glaser, Vladimir Rokhlin:
A New Class of Highly Accurate Solvers for Ordinary Differential Equations. J. Sci. Comput. 38(3): 368-399 (2009) - [j15]Vladimir Rokhlin, Arthur Szlam, Mark Tygert:
A Randomized Algorithm for Principal Component Analysis. SIAM J. Matrix Anal. Appl. 31(3): 1100-1124 (2009) - [i1]Vladimir Rokhlin, Mark Tygert:
A fast randomized algorithm for orthogonal projection. CoRR abs/0912.1135 (2009) - 2007
- [j14]Per-Gunnar Martinsson, Vladimir Rokhlin:
A fast direct solver for scattering problems involving elongated structures. J. Comput. Phys. 221(1): 288-302 (2007) - [j13]Per-Gunnar Martinsson, Vladimir Rokhlin:
An Accelerated Kernel-Independent Fast Multipole Method in One Dimension. SIAM J. Sci. Comput. 29(3): 1160-1178 (2007) - [j12]Andreas Glaser, Xiangtao Liu, Vladimir Rokhlin:
A Fast Algorithm for the Calculation of the Roots of Special Functions. SIAM J. Sci. Comput. 29(4): 1420-1438 (2007) - 2006
- [j11]Hongwei Cheng, William Y. Crutchfield, Zydrunas Gimbutas, Leslie Greengard, J. Frank Ethridge, Jingfang Huang, Vladimir Rokhlin, Norman Yarvin, Junsheng Zhao:
A wideband fast multipole method for the Helmholtz equation in three dimensions. J. Comput. Phys. 216(1): 300-325 (2006) - [j10]Vladimir Rokhlin, Mark Tygert:
Fast Algorithms for Spherical Harmonic Expansions. SIAM J. Sci. Comput. 27(6): 1903-1928 (2006) - 2005
- [j9]Hongwei Cheng, Zydrunas Gimbutas, Per-Gunnar Martinsson, Vladimir Rokhlin:
On the Compression of Low Rank Matrices. SIAM J. Sci. Comput. 26(4): 1389-1404 (2005) - 2003
- [j8]Zydrunas Gimbutas, Vladimir Rokhlin:
A Generalized Fast Multipole Method for Nonoscillatory Kernels. SIAM J. Sci. Comput. 24(3): 796-817 (2003)
1990 – 1999
- 1999
- [j7]Hongwei Cheng, Vladimir Rokhlin, Norman Yarvin:
Nonlinear Optimization, Quadrature, and Interpolation. SIAM J. Optim. 9(4): 901-923 (1999) - 1998
- [j6]Tomasz Hrycak, Vladimir Rokhlin:
An Improved Fast Multipole Algorithm for Potential Fields. SIAM J. Sci. Comput. 19(6): 1804-1826 (1998) - [j5]Norman Yarvin, Vladimir Rokhlin:
Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators. SIAM J. Sci. Comput. 20(2): 699-718 (1998) - 1997
- [c1]Vladimir Rokhlin, Mark A. Stalzer:
Scalability of the Fast Multipole Method for the Helmholtz Equation. PP 1997 - 1993
- [j4]Bradley K. Alpert, Gregory Beylkin, Ronald R. Coifman, Vladimir Rokhlin:
Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations. SIAM J. Sci. Comput. 14(1): 159-184 (1993) - [j3]A. Dutt, Vladimir Rokhlin:
Fast Fourier Transforms for Nonequispaced Data. SIAM J. Sci. Comput. 14(6): 1368-1393 (1993) - 1991
- [j2]Bradley K. Alpert, Vladimir Rokhlin:
A Fast Algorithm for the Evaluation of Legendre Expansions. SIAM J. Sci. Comput. 12(1): 158-179 (1991)
1980 – 1989
- 1988
- [j1]Vladimir Rokhlin:
A fast algorithm for the discrete laplace transformation. J. Complex. 4(1): 12-32 (1988)
Coauthor Index
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