Vladimir Rokhlin

Publication Activity (10 Years)

Years Active: 1988-2023
Publications (10 Years): 17

Top Topics

Partial Differential Equations

Radially Symmetric

Boundary Value Problem

Numerical Solution

Top Venues

J. Comput. Phys.

SIAM J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Hanwen Zhang, Vladimir Rokhlin
Finding roots of complex analytic functions via generalized colleague matrices. CoRR (2023)
Abinand Gopal, Vladimir Rokhlin
A fast procedure for the construction of quadrature formulas for bandlimited functions. CoRR (2023)
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 (2022)
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 (2021)
Kirill Serkh, Vladimir Rokhlin
) QR Algorithm for the Diagonalization of Colleague Matrices. CoRR (2021)
William E. Leeb, Vladimir Rokhlin
On the Numerical Solution of Fourth-Order Linear Two-Point Boundary Value Problems. SIAM J. Sci. Comput. 42 (3) (2020)
Jeremy G. Hoskins, Vladimir Rokhlin
On the inverse scattering problem for radially-symmetric domains in two dimensions. CoRR (2020)
Jeremy G. Hoskins, Vladimir Rokhlin
A fast adaptive algorithm for scattering from a two dimensional radially-symmetric potential. CoRR (2020)
Philip Greengard, Vladimir Rokhlin
An algorithm for the evaluation of the incomplete gamma function. Adv. Comput. Math. 45 (1) (2019)
Zydrunas Gimbutas, Nicholas F. Marshall, Vladimir Rokhlin
A fast simple algorithm for computing the potential of charges on a line. CoRR (2019)
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) (2019)
William E. Leeb, Vladimir Rokhlin
On the Numerical Solution of Fourth-Order Linear Two-Point Boundary Value Problems. CoRR (2017)
James Bremer, Vladimir Rokhlin
On the nonoscillatory phase function for Legendre's differential equation. J. Comput. Phys. 350 (2017)
Roy R. Lederman, Vladimir Rokhlin
On the Analytical and Numerical Properties of the Truncated Laplace Transform. Part II. SIAM J. Numer. Anal. 54 (2) (2016)
Kirill Serkh, Vladimir Rokhlin
On the solution of elliptic partial differential equations on regions with corners. J. Comput. Phys. 305 (2016)
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 (2015)
Roy R. Lederman, Vladimir Rokhlin
On the Analytical and Numerical Properties of the Truncated Laplace Transform I. SIAM J. Numer. Anal. 53 (3) (2015)
Daniel Beylkin, Vladimir Rokhlin
Fitting a Bandlimited Curve to Points in a Plane. SIAM J. Sci. Comput. 36 (3) (2014)
Bogdan Vioreanu, Vladimir Rokhlin
Spectra of Multiplication Operators as a Numerical Tool. SIAM J. Sci. Comput. 36 (1) (2014)
Dan Kushnir, Vladimir Rokhlin
A Highly Accurate Solver for Stiff Ordinary Differential Equations. SIAM J. Sci. Comput. 34 (3) (2012)
E. S. Coakley, Vladimir Rokhlin, Mark Tygert
A Fast Randomized Algorithm for Orthogonal Projection. SIAM J. Sci. Comput. 33 (2) (2011)
James Bremer, Vladimir Rokhlin
Efficient discretization of Laplace boundary integral equations on polygonal domains. J. Comput. Phys. 229 (7) (2010)
James Bremer, Zydrunas Gimbutas, Vladimir Rokhlin
A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures. SIAM J. Sci. Comput. 32 (4) (2010)
James Bremer, Vladimir Rokhlin, Ian Sammis
Universal quadratures for boundary integral equations on two-dimensional domains with corners. J. Comput. Phys. 229 (22) (2010)
Vladimir Rokhlin, Mark Tygert
A fast randomized algorithm for orthogonal projection CoRR (2009)
Vladimir Rokhlin, Arthur Szlam, Mark Tygert
A Randomized Algorithm for Principal Component Analysis. SIAM J. Matrix Anal. Appl. 31 (3) (2009)
Yu Chen, Ran Duan, Vladimir Rokhlin
On the inverse scattering problem in the acoustic environment. J. Comput. Phys. 228 (9) (2009)
Andreas Glaser, Vladimir Rokhlin
A New Class of Highly Accurate Solvers for Ordinary Differential Equations. J. Sci. Comput. 38 (3) (2009)
Ran Duan, Vladimir Rokhlin
High-order quadratures for the solution of scattering problems in two dimensions. J. Comput. Phys. 228 (6) (2009)
Per-Gunnar Martinsson, Vladimir Rokhlin
A fast direct solver for scattering problems involving elongated structures. J. Comput. Phys. 221 (1) (2007)
Andreas Glaser, Xiangtao Liu, Vladimir Rokhlin
A Fast Algorithm for the Calculation of the Roots of Special Functions. SIAM J. Sci. Comput. 29 (4) (2007)
Per-Gunnar Martinsson, Vladimir Rokhlin
An Accelerated Kernel-Independent Fast Multipole Method in One Dimension. SIAM J. Sci. Comput. 29 (3) (2007)
Vladimir Rokhlin, Mark Tygert
Fast Algorithms for Spherical Harmonic Expansions. SIAM J. Sci. Comput. 27 (6) (2006)
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) (2006)
Hongwei Cheng, Zydrunas Gimbutas, Per-Gunnar Martinsson, Vladimir Rokhlin
On the Compression of Low Rank Matrices. SIAM J. Sci. Comput. 26 (4) (2005)
Zydrunas Gimbutas, Vladimir Rokhlin
A Generalized Fast Multipole Method for Nonoscillatory Kernels. SIAM J. Sci. Comput. 24 (3) (2003)
Hongwei Cheng, Vladimir Rokhlin, Norman Yarvin
Nonlinear Optimization, Quadrature, and Interpolation. SIAM J. Optim. 9 (4) (1999)
Norman Yarvin, Vladimir Rokhlin
Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators. SIAM J. Sci. Comput. 20 (2) (1998)
Tomasz Hrycak, Vladimir Rokhlin
An Improved Fast Multipole Algorithm for Potential Fields. SIAM J. Sci. Comput. 19 (6) (1998)
Vladimir Rokhlin, Mark A. Stalzer
Scalability of the Fast Multipole Method for the Helmholtz Equation. PPSC (1997)
A. Dutt, Vladimir Rokhlin
Fast Fourier Transforms for Nonequispaced Data. SIAM J. Sci. Comput. 14 (6) (1993)
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) (1993)
Bradley K. Alpert, Vladimir Rokhlin
A Fast Algorithm for the Evaluation of Legendre Expansions. SIAM J. Sci. Comput. 12 (1) (1991)
Vladimir Rokhlin
A fast algorithm for the discrete laplace transformation. J. Complex. 4 (1) (1988)