Vladimir Rokhlin Jr.

Vladimir Rokhlin Jr.'s AcademicInfluence.com Rankings

Computer Science

#2403

World Rank

#2509

Historical Rank

#1061

USA Rank

Numerical Analysis

#23

World Rank

#24

Historical Rank

#14

USA Rank

computer-science Degrees

Vladimir Rokhlin Jr.

Mathematics

#3094

World Rank

#4634

Historical Rank

#1170

USA Rank

Measure Theory

#1010

World Rank

#1304

Historical Rank

#372

USA Rank

mathematics Degrees

Download Badge

Computer Science
Mathematics

Vladimir Rokhlin Jr.'s Degrees

PhD Mathematics Moscow State University

Why Is Vladimir Rokhlin Jr. Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Vladimir Rokhlin Jr. is a mathematician and professor of computer science and mathematics at Yale University. He is the co-inventor with Leslie Greengard of the fast multipole method in 1985, recognised as one of the top-ten algorithms of the 20th century.

(See a Problem?)

Vladimir Rokhlin Jr.'s Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A fast algorithm for particle simulations (1987) (4977)
Fast wavelet transforms and numerical algorithms I (1991) (2008)
The fast multipole method for the wave equation: a pedestrian prescription (1993) (1506)
Rapid solution of integral equations of classical potential theory (1985) (1478)
A new version of the Fast Multipole Method for the Laplace equation in three dimensions (1997) (891)
Rapid Solution of Integral Equations of Scattering Theory (1990) (877)
Regular Article: A Fast Adaptive Multipole Algorithm in Three Dimensions (1999) (668)
Fast Fourier Transforms for Nonequispaced Data (1993) (540)
Randomized algorithms for the low-rank approximation of matrices (2007) (512)
Diagonal Forms of Translation Operators for the Helmholtz Equation in Three Dimensions (1993) (459)
Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations (1993) (438)
The fast multipole method (FMM) for electromagnetic scattering problems (1992) (415)
Spectral Deferred Correction Methods for Ordinary Differential Equations (2000) (411)
A Randomized Algorithm for Principal Component Analysis (2008) (383)
A fast randomized algorithm for the approximation of matrices ✩ (2007) (319)
On the Compression of Low Rank Matrices (2005) (314)
A Fast Adaptive Multipole Algorithm for Particle Simulations (1988) (309)
A fast direct solver for boundary integral equations in two dimensions (2003) (300)
A randomized algorithm for the decomposition of matrices (2011) (298)
A wideband fast multipole method for the Helmholtz equation in three dimensions (2006) (295)
A randomized algorithm for the approximation of matrices (2006) (293)
Generalized Gaussian quadrature rules for systems of arbitrary functions (1996) (287)
Accelerating fast multipole methods for the Helmholtz equation at low frequencies (1998) (266)
Prolate spheroidal wavefunctions, quadrature and interpolation (2001) (255)
A Fast Algorithm for the Evaluation of Legendre Expansions (1991) (228)
Fast Fourier Transforms for Nonequispaced Data, II (1995) (221)
Rapid Evaluation of Potential Fields in Three Dimensions (1988) (199)
A fast randomized algorithm for overdetermined linear least-squares regression (2008) (199)
Well-conditioned boundary integral equations for three-dimensional electromagnetic scattering (2002) (174)
Fast direct solvers for integral equations in complex three-dimensional domains (2009) (173)
Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators (1998) (170)
Fast Algorithms for Spherical Harmonic Expansions (2006) (130)
High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions (1997) (124)
A Fast Algorithm for the Calculation of the Roots of Special Functions (2007) (124)
Fast algorithms for polynomial interpolation, integration, and differentiation (1996) (120)
A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures (2010) (101)
A Generalized Fast Multipole Method for Nonoscillatory Kernels (2003) (99)
Prolate Spheroidal Wave Functions of Order Zero (2013) (97)
An Accelerated Kernel-Independent Fast Multipole Method in One Dimension (2007) (96)
An Improved Fast Multipole Algorithm for Potential Fields (1998) (96)
Numerical quadratures for singular and hypersingular integrals (2001) (87)
An algorithm for the rapid evaluation of special function transforms (2010) (81)
Universal quadratures for boundary integral equations on two-dimensional domains with corners (2010) (76)
Solution of acoustic scattering problems by means of second kind integral equations (1983) (73)
On the Numerical Solution of Two-Point Boundary Value Problems (1991) (69)
A fast algorithm for the inversion of general Toeplitz matrices (2004) (68)
Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit (2007) (65)
A fast direct solver for scattering problems involving elongated structures (2007) (65)
Randomized approximate nearest neighbors algorithm (2011) (63)
Wavelets for the Fast Solution of Second-Kind Integral Equations (1990) (62)
A Fast Algorithm for the Numerical Evaluation of Conformal Mappings (1989) (59)
On the inverse scattering problem for the Helmholtz equation in one dimension (1992) (57)
Prolate Spheroidal Wave Functions of Order Zero: Mathematical Tools for Bandlimited Approximation (2013) (55)
An Improved Fast Multipole Algorithm for Potential Fields on the Line (1999) (54)
A generalized one-dimensional fast multipole method with application to filtering of spherical harmonics (1998) (52)
End-point corrected trapezoidal quadrature rules for singular functions (1990) (51)
Second kind integral equations for the classical potential theory on open surfaces II (2004) (50)
An improved operator expansion algorithm for direct and inverse scattering computations (1999) (49)
An adaptive fast direct solver for boundary integral equations in two dimensions (2009) (48)
A New Class of Highly Accurate Solvers for Ordinary Differential Equations (2009) (47)
Approximation of bandlimited functions (2006) (47)
A fast divide-and-conquer algorithm for computing the spectra of real symmetric tridiagonal matrices (2013) (45)
Nonlinear Optimization, Quadrature, and Interpolation (1999) (45)
Efficient discretization of Laplace boundary integral equations on polygonal domains (2010) (43)
On the evaluation of electrostatic interactions in molecular modeling (1988) (40)
On interpolation and integration in finite-dimensional spaces of bounded functions (2005) (38)
Sparse Diagonal Forms for Translation Operators for the Helmholtz Equation in Two Dimensions (1995) (36)
On the numerical solution of two-point boundary value problems II (1994) (36)
High-order quadratures for the solution of scattering problems in two dimensions (2009) (34)
On the evaluation of prolate spheroidal wave functions and associated quadrature rules (2013) (33)
Spectra of Multiplication Operators as a Numerical Tool (2014) (32)
A Fast Randomized Algorithm for Orthogonal Projection (2009) (30)
The fast mutipole method for gridless particle simulation. (1987) (30)
A new class of analysis-based fast transforms (2007) (29)
On the Riccati equations for the scattering matrices in two dimensions (1997) (29)
High-Frequency Asymptotic Expansions for Certain Prolate Spheroidal Wave Functions (2001) (28)
On the solution of elliptic partial differential equations on regions with corners (2016) (28)
A Fast Direct Algorithm for the Solution of the Laplace Equation on Regions with Fractal Boundaries (1994) (27)
A Highly Accurate Solver for Stiff Ordinary Differential Equations (2012) (24)
Solving electromagnetic scattering problems at resonance frequencies (1990) (23)
Prolate spheroidal wave functions, quadrature, interpolation, and asymptotic formulae (2001) (22)
On the accurate calculation of vortex shedding (1990) (22)
A randomized approximate nearest neighbors algorithm (2013) (20)
A New Class of Highly Accurate Differentiation Schemes Based on the Prolate Spheroidal Wave Functions (2012) (19)
On the asymptotics of Bessel functions in the Fresnel regime (2014) (19)
Improved estimates for nonoscillatory phase functions (2015) (19)
On the Analytical and Numerical Properties of the Truncated Laplace Transform I (2015) (19)
A fast simple algorithm for computing the potential of charges on a line (2019) (12)
On the Numerical Solution of Elliptic Partial Differential Equations on Polygonal Domains (2019) (12)
The fast multipole method for periodic structures (1994) (12)
On the existence of nonoscillatory phase functions for second order ordinary differential equations in the high-frequency regime (2015) (12)
An algorithm for the evaluation of the incomplete gamma function (2019) (12)
On the solution of the Helmholtz equation on regions with corners (2016) (11)
High-Order Corrected Trapezoidal Rules for Singular Functions (1994) (11)
Acceleration methods for the iterative solution of electromagnetic scattering problems (1993) (9)
The fast multipole method for electromagnetic scattering calculations (1993) (8)
Fitting a Bandlimited Curve to Points in a Plane (2014) (8)
Application of volume integrals to the solution of partial differential equations (1985) (8)
Second king integral equations for the classical potential theory on open surfaces I: analytical apparatus (2003) (8)
A Fast Summation Method for Oscillatory Lattice Sums. (2016) (7)
Detailed analysis of prolate quadratures and interpolation formulas (2012) (7)
On the inverse scattering problem in the acoustic environment (2009) (7)
On the Analytical and Numerical Properties of the Truncated Laplace Transform. Part II (2016) (6)
Analysis-Based Fast Numerical Algorithms of Applied Mathematics (1995) (4)
On the Efficient Evaluation of the Azimuthal Fourier Components of the Green's Function for Helmholtz's Equation in Cylindrical Coordinates (2021) (4)
The importance of accurate surface models in RCS computations (1993) (4)
Rapid solution of integral equations fast numerical algorithms (1990) (4)
On the nonoscillatory phase function for Legendre's differential equation (2017) (3)
Integral Equations Methods: Fast Algorithms and Applications (2014) (3)
QUANTITATIVE EVALUATION OF THE CONTRIBUTION OF GEOLOGIC KNOWLEDGE IN EXPLORATION FOR PETROLEUM (1982) (3)
On the Numerical Solution of Fourth-Order Linear Two-Point Boundary Value Problems (2017) (3)
On the Rapid Evaluation of Trigonometric Series (1992) (2)
Numerical second-kind-integral-equation solutions of electromagnetic scattering problems (1989) (2)
Scalability of the Fast Multipole Method for the Helmholtz Equation (1997) (2)
A fast adaptive algorithm for scattering from a two dimensional radially-symmetric potential (2020) (1)
A Randomized Approximate Nearest Neighbors Algorithm - A Short Version (2011) (1)
A Provably Componentwise Backward Stable O(n2) QR Algorithm for the Diagonalization of Colleague Matrices (2021) (1)
The spectral sequence of a fibration and the skeletons of the base (1974) (1)
A fast procedure for the construction of quadrature formulas for bandlimited functions (2022) (1)
Connection Between Phase And Amplitude For the Acoustic Wave Equation (1984) (1)
Advanced transformational analysis applied to e-beam proximity effect correction (1993) (1)
Adapted Waveform Analysis for ATDIR. (1997) (1)
A new class of fast divide-and-conquer algorithms for the real symmetric tridiagonal eigenvalue problem (2010) (1)
On the Analytical and Numerical Properties of the Truncated Laplace Transform II (2015) (1)
A fast solver for the Helmholtz equation on long, thin structures (2005) (0)
Fast algorithms for vortex methods (1988) (0)
Rational Approximations of PSWFs (2013) (0)
A Rapid Numerical Procedure for Determining Axisymmetric Transverse Electric Electromagnetic Fields Via Boundary Integrals (1988) (0)
Letter to the Editor Approximation of bandlimited functions (2006) (0)
fOlICAILE-G OPi I ' , tN On the Efficient ImplementationN of the Fast Multipole Algorithm U (0)
We a Highly Accurate Solver for Stiff Ordinary Differential Equations (2010) (0)
Integrated Sensing and Processing Digital Synapses (2006) (0)
A Fast A lgor i thm for the Inversion of General Toepl i tz Matr ices (0)
Analysis of the Integral Operator (2013) (0)
Compressed Scattering Matrices and Fast Direct Solvers (2007) (0)
Analysis of a Differential Operator (2013) (0)
Advanced Antenna Pattern Prediction Software (2006) (0)
On the existence of nonoscillatory phase functions for second order differential equations in the high-frequency regime (2014) (0)
A Fast Adaptive Multiple Algorithm for Particle Simulations. Revision (1987) (0)
Analytical Tools for Real-Time Delta-Sigma Multibeam Processing (2004) (0)
A fast adaptive algorithm for two-dimensional scattering from a radially-symmetric potential (2019) (0)
Challenges in Geometry , Analysis and Computation : High Dimensional Synthesis (2012) (0)
Scattering Computations as a Simulation Tool for Automatic Target Recognition and Processing (1998) (0)
High Frequency Electromagnetic Propagation/Scattering Codes (2000) (0)
Challenges in Geometry , Analysis and Computation : High Dimensional Synthesis (2012) (0)
An algorithm for the evaluation of the incomplete gamma function (2018) (0)
Numerical Methods for Scattering from Electrically Large Objects (1991) (0)
Orthogonal classification of families of linear mappings (1975) (0)
Asymptotic Analysis of PSWFs (2013) (0)
Miscellaneous Properties of PSWFs (2013) (0)
On the inverse scattering problem for radially-symmetric domains in two dimensions (2020) (0)
Mathematical and Numerical Preliminaries (2013) (0)
Fast multipole methods for scattering computations (1994) (0)
Quadrature Rules and Interpolation via PSWFs (2013) (0)

This paper list is powered by the following services:

Other Resources About Vladimir Rokhlin Jr.

What Schools Are Affiliated With Vladimir Rokhlin Jr.?

Vladimir Rokhlin Jr. is affiliated with the following schools:

Vladimir Rokhlin Jr.'s Academic­Influence.com Rankings

Vladimir Rokhlin Jr.'s Degrees

Why Is Vladimir Rokhlin Jr. Influential?

Vladimir Rokhlin Jr.'s Published Works

Published Works

Other Resources About Vladimir Rokhlin Jr.

What Schools Are Affiliated With Vladimir Rokhlin Jr.?

Vladimir Rokhlin Jr.'s AcademicInfluence.com Rankings