Vladimir Rokhlin - Publications

Affiliations: 
Mathematics Yale University, New Haven, CT 

89 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2022 Garritano J, Kluger Y, Rokhlin V, Serkh K. On the efficient evaluation of the azimuthal Fourier components of the Green's function for Helmholtz's equation in cylindrical coordinates. Journal of Computational Physics. 451. PMID 36171963 DOI: 10.1016/j.jcp.2022.111585  0.323
2020 Gimbutas Z, Marshall NF, Rokhlin V. A FAST SIMPLE ALGORITHM FOR COMPUTING THE POTENTIAL OF CHARGES ON A LINE. Applied and Computational Harmonic Analysis. 49. PMID 33088166 DOI: 10.1016/J.Acha.2020.06.002  0.372
2020 Leeb W, Rokhlin V. On the Numerical Solution of Fourth-Order Linear Two-Point Boundary Value Problems Siam Journal On Scientific Computing. 42: A1789-A1808. DOI: 10.1137/18M1214810  0.448
2019 Hoskins JG, Rokhlin V, Serkh K. On the Numerical Solution of Elliptic Partial Differential Equations on Polygonal Domains Siam Journal On Scientific Computing. 41: A2552-A2578. DOI: 10.1137/18M1199034  0.437
2018 Greengard P, Rokhlin V. An algorithm for the evaluation of the incomplete gamma function Advances in Computational Mathematics. 45: 23-49. DOI: 10.1007/S10444-018-9604-X  0.363
2017 Denlinger R, Gimbutas Z, Greengard L, Rokhlin V. A Fast Summation Method for Oscillatory Lattice Sums. Journal of Mathematical Physics. 58. PMID 33087986  0.627
2017 Denlinger R, Gimbutas Z, Greengard L, Rokhlin V. A fast summation method for oscillatory lattice sums Journal of Mathematical Physics. 58: 023511. DOI: 10.1063/1.4976499  0.659
2017 Bremer J, Rokhlin V. On the nonoscillatory phase function for Legendre's differential equation Journal of Computational Physics. 350: 326-342. DOI: 10.1016/J.Jcp.2017.08.041  0.451
2016 Serkh K, Rokhlin V. On the solution of the Helmholtz equation on regions with corners. Proceedings of the National Academy of Sciences of the United States of America. PMID 27482110 DOI: 10.1073/Pnas.1609578113  0.479
2016 Bremer J, Rokhlin V. Improved estimates for nonoscillatory phase functions Discrete and Continuous Dynamical Systems- Series A. 36: 4101-4131. DOI: 10.3934/Dcds.2016.36.4101  0.488
2016 Serkh K, Rokhlin V. On the solution of elliptic partial differential equations on regions with corners Journal of Computational Physics. 305: 150-171. DOI: 10.1016/J.Jcp.2015.10.024  0.482
2015 Lederman RR, Rokhlin V. On the analytical and numerical properties of the truncated laplace transform I Siam Journal On Numerical Analysis. 53: 1214-1235. DOI: 10.1137/140990681  0.438
2015 Heitman Z, Bremer J, Rokhlin V. On the existence of nonoscillatory phase functions for second order ordinary differential equations in the high-frequency regime Journal of Computational Physics. 290: 1-27. DOI: 10.1016/J.Jcp.2015.02.028  0.789
2015 Heitman Z, Bremer J, Rokhlin V, Vioreanu B. On the asymptotics of Bessel functions in the Fresnel regime Applied and Computational Harmonic Analysis. 39: 347-356. DOI: 10.1016/J.Acha.2014.12.002  0.727
2014 Beylkin D, Rokhlin V. Fitting a bandlimited curve to points in a plane Siam Journal On Scientific Computing. 36: A1048-A1070. DOI: 10.1137/130932703  0.451
2014 Vioreanu B, Rokhlin V. Spectra of multiplication operators as a numerical tool Siam Journal On Scientific Computing. 36: A267-A288. DOI: 10.1137/110860082  0.771
2014 Osipov A, Rokhlin V. On the evaluation of prolate spheroidal wave functions and associated quadrature rules Applied and Computational Harmonic Analysis. 36: 108-142. DOI: 10.1016/J.Acha.2013.04.002  0.653
2013 Jones PW, Osipov A, Rokhlin V. A randomized approximate nearest neighbors algorithm Applied and Computational Harmonic Analysis. 34: 415-444. DOI: 10.1016/J.Acha.2012.07.003  0.62
2013 Coakley ES, Rokhlin V. A fast divide-and-conquer algorithm for computing the spectra of real symmetric tridiagonal matrices Applied and Computational Harmonic Analysis. 34: 379-414. DOI: 10.1016/J.Acha.2012.06.003  0.799
2012 Kushnir D, Rokhlin V. A Highly Accurate Solver for Stiff Ordinary Differential Equations Siam Journal On Scientific Computing. 34: A1296-A1315. DOI: 10.1137/100810216  0.482
2012 Kong WY, Rokhlin V. A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions Applied and Computational Harmonic Analysis. 33: 226-260. DOI: 10.1016/J.Acha.2011.11.005  0.784
2011 Jones PW, Osipov A, Rokhlin V. Randomized approximate nearest neighbors algorithm. Proceedings of the National Academy of Sciences of the United States of America. 108: 15679-86. PMID 21885738 DOI: 10.1073/Pnas.1107769108  0.602
2011 Coakley ES, Rokhlin V, Tygert M. A fast randomized algor ithm for orthogonal projection Siam Journal On Scientific Computing. 33: 849-868. DOI: 10.1137/090779656  0.794
2011 Kong WY, Bremer J, Rokhlin V. An adaptive fast direct solver for boundary integral equations in two dimensions Applied and Computational Harmonic Analysis. 31: 346-369. DOI: 10.1016/J.Acha.2011.01.008  0.809
2011 Martinsson PG, Rokhlin V, Tygert M. A randomized algorithm for the decomposition of matrices Applied and Computational Harmonic Analysis. 30: 47-68. DOI: 10.1016/J.Acha.2010.02.003  0.77
2010 Bremert J, Gimbutas Z, Rokhlin V. A nonlinear optimization procedure for generalized Gaussian quadratures Siam Journal On Scientific Computing. 32: 1761-1788. DOI: 10.1137/080737046  0.523
2010 Bremer J, Rokhlin V, Sammis I. Universal quadratures for boundary integral equations on two-dimensional domains with corners Journal of Computational Physics. 229: 8259-8280. DOI: 10.1016/J.Jcp.2010.06.040  0.442
2010 Bremer J, Rokhlin V. Efficient discretization of Laplace boundary integral equations on polygonal domains Journal of Computational Physics. 229: 2507-2525. DOI: 10.1016/J.Jcp.2009.12.001  0.421
2010 O'Neil M, Woolfe F, Rokhlin V. An algorithm for the rapid evaluation of special function transforms Applied and Computational Harmonic Analysis. 28: 203-226. DOI: 10.1016/J.Acha.2009.08.005  0.738
2009 Rokhlin V, Szlam A, Tygert M. A randomized algorithm for principal component analysis Siam Journal On Matrix Analysis and Applications. 31: 1100-1124. DOI: 10.1137/080736417  0.786
2009 Greengard L, Gueyffier D, Martinsson PG, Rokhlin V. Fast direct solvers for integral equations in complex three-dimensional domains Acta Numerica. 18: 243-275. DOI: 10.1017/S0962492906410011  0.701
2009 Chen Y, Duan R, Rokhlin V. On the inverse scattering problem in the acoustic environment Journal of Computational Physics. 228: 3209-3231. DOI: 10.1016/J.Jcp.2008.12.034  0.601
2009 Duan R, Rokhlin V. High-order quadratures for the solution of scattering problems in two dimensions Journal of Computational Physics. 228: 2152-2174. DOI: 10.1016/J.Jcp.2008.11.033  0.667
2009 Glaser A, Rokhlin V. A New class of highly accurate solvers for ordinary differential equations Journal of Scientific Computing. 38: 368-399. DOI: 10.1007/s10915-008-9245-1  0.405
2009 Beylkin G, Coifman RR, Rokhlin V. Fast wavelet transforms and numerical algorithms I Fundamental Papers in Wavelet Theory. 741-783. DOI: 10.1002/Cpa.3160440202  0.49
2008 Rokhlin V, Tygert M. A fast randomized algorithm for overdetermined linear least-squares regression. Proceedings of the National Academy of Sciences of the United States of America. 105: 13212-7. PMID 18779559 DOI: 10.1073/Pnas.0804869105  0.78
2007 Liberty E, Woolfe F, Martinsson PG, Rokhlin V, Tygert M. Randomized algorithms for the low-rank approximation of matrices. Proceedings of the National Academy of Sciences of the United States of America. 104: 20167-72. PMID 18056803 DOI: 10.1073/Pnas.0709640104  0.797
2007 Glaser A, Xiangtao L, Rokhlin V. A fast algorithm for the calculation of the roots of special functions Siam Journal On Scientific Computing. 29: 1420-1438. DOI: 10.1137/06067016X  0.428
2007 Martinsson PG, Rokhlin V. An accelerated kernel-independent fast multipole method in one dimension Siam Journal On Scientific Computing. 29: 1160-1178. DOI: 10.1137/060662253  0.323
2006 Rokhlin V, Tygert M. Fast algorithms for spherical harmonic expansions Siam Journal On Scientific Computing. 27: 1903-1928. DOI: 10.1137/050623073  0.386
2006 Cheng H, Crutchfield WY, Gimbutas Z, Greengard LF, Ethridge JF, Huang J, Rokhlin V, Yarvin N, Zhao J. A wideband fast multipole method for the Helmholtz equation in three dimensions Journal of Computational Physics. 216: 300-325. DOI: 10.1016/J.Jcp.2005.12.001  0.748
2006 Shkolnisky Y, Tygert M, Rokhlin V. Approximation of bandlimited functions Applied and Computational Harmonic Analysis. 21: 413-420. DOI: 10.1016/J.Acha.2006.05.001  0.763
2005 Cheng H, Gimbutas Z, Martinsson PG, Rokhlin V. On the compression of low rank matrices Siam Journal On Scientific Computing. 26: 1389-1404. DOI: 10.1137/030602678  0.3
2005 Cheng H, Zhao J, Rokhlin V, Yarvin N. A fast solver for the Helmholtz equation on long, thin structures Ieee Transactions On Antennas and Propagation. 53: 2911-2919. DOI: 10.1109/Tap.2005.854545  0.492
2004 Jiang S, Rokhlin V. Second kind integral equations for the classical potential theory on open surfaces II Journal of Computational Physics. 195: 1-16. DOI: 10.1016/J.Jcp.2003.10.001  0.661
2003 Kolm P, Jiang S, Rokhlin V. Quadruple and octuple layer potentials in two dimensions I: Analytical apparatus Applied and Computational Harmonic Analysis. 14: 47-74. DOI: 10.1016/S1063-5203(03)00004-6  0.799
2003 Jiang S, Rokhlin V. Second kind integral equations for the classical potential theory on open surfaces I: Analytical apparatus Journal of Computational Physics. 191: 40-74. DOI: 10.1016/S0021-9991(03)00304-8  0.657
2003 Xiao H, Rokhlin V. High-Frequency Asymptotic Expansions for Certain Prolate Spheroidal Wave Functions Journal of Fourier Analysis and Applications. 9: 575-596. DOI: 10.1007/s00041-003-0906-z  0.326
2001 Xiao H, Rokhlin V, Yarvin N. Prolate spheroidal wavefunctions, quadrature and interpolation Inverse Problems. 17: 805-838. DOI: 10.1088/0266-5611/17/4/315  0.414
2001 Kolm P, Rokhlin V. Numerical quadratures for singular and hypersingular integrals Computers and Mathematics With Applications. 41: 327-352. DOI: 10.1016/S0898-1221(00)00277-7  0.812
2000 Dutt A, Greengard L, Rokhlin V. Spectral deferred correction methods for ordinary differential equations Bit Numerical Mathematics. 40: 241-266. DOI: 10.1023/A:1022338906936  0.71
1999 Yarvin N, Rokhlin V. An improved fast multipole algorithm for potential fields on the line Siam Journal On Numerical Analysis. 36: 629-666. DOI: 10.1137/S0036142997329232  0.467
1999 Coifman R, Goldberg M, Hrycak T, Israeli M, Rokhlin V. An improved operator expansion algorithm for direct and inverse scattering computations Waves in Random Media. 9: 441-457. DOI: 10.1088/0959-7174/9/3/311  0.324
1999 Cheng H, Greengard L, Rokhlin V. A Fast Adaptive Multipole Algorithm in Three Dimensions Journal of Computational Physics. 155: 468-498. DOI: 10.1006/Jcph.1999.6355  0.687
1999 Cheng H, Rokhlin V, Yarvin N. Nonlinear optimization, quadrature, and interpolation Siam Journal On Optimization. 9: 901-923.  0.341
1998 Yarvin N, Rokhlin V. Generalized Gaussian Quadratures and Singular Value Decompositions of Integral Operators Siam Journal On Scientific Computing. 20: 699-718. DOI: 10.1137/S1064827596310779  0.434
1998 Hrycak T, Rokhlin V. An Improved Fast Multipole Algorithm for Potential Fields Siam Journal On Scientific Computing. 19: 1804-1826. DOI: 10.1137/S106482759630989X  0.426
1998 Greengard L, Huang J, Rokhlin V, Wandzura S. Accelerating fast multipole methods for the Helmholtz equation at low frequencies Ieee Computational Science & Engineering. 5: 32-38. DOI: 10.1109/99.714591  0.605
1998 Yarvin N, Rokhlin V. A generalized one-dimensional fast multipole method with application to filtering of spherical harmonics Journal of Computational Physics. 147: 594-609. DOI: 10.1006/Jcph.1998.6104  0.356
1998 Rokhlin V. Sparse diagonal forms for translation operators for the Helmholtz equation in two dimensions Applied and Computational Harmonic Analysis. 5: 36-67. DOI: 10.1006/Acha.1997.0221  0.498
1997 Kapur S, Rokhlin V. High-order corrected trapezoidal quadrature rules for singular functions Siam Journal On Numerical Analysis. 34: 1331-1356. DOI: 10.1137/S0036142995287847  0.45
1997 Chen Y, Rokhlin V. On the Riccati equations for the scattering matrices in two dimensions Inverse Problems. 13: 1-13. DOI: 10.1088/0266-5611/13/1/001  0.348
1997 Greengard L, Rokhlin V. A new version of the Fast Multipole Method for the Laplace equation in three dimensions Acta Numerica. 6: 229-269. DOI: 10.1017/S0962492900002725  0.645
1997 Greengard L, Rokhlin V. A fast algorithm for particle simulations Journal of Computational Physics. 135: 280-292. DOI: 10.1016/0021-9991(87)90140-9  0.618
1996 Dutt A, Gu M, Rokhlin V. Fast algorithms for polynomial interpolation, integration, and differentiation Siam Journal On Numerical Analysis. 33: 1689-1711. DOI: 10.1137/0733082  0.469
1996 Ma J, Rokhlin V, Wandzura S. Generalized Gaussian quadrature rules for systems of arbitrary functions Siam Journal On Numerical Analysis. 33: 971-996. DOI: 10.1137/0733048  0.511
1995 Dutt A, Rokhlin V. Fast Fourier Transforms for Nonequispaced Data, II Applied and Computational Harmonic Analysis. 2: 85-100. DOI: 10.1006/Acha.1995.1007  0.465
1994 Starr P, Rokhlin V. On the numerical solution of two-point boundary value problems II Communications On Pure and Applied Mathematics. 47: 1117-1159. DOI: 10.1002/Cpa.3160440403  0.501
1993 Dutt A, Rokhlin V. Fast Fourier transforms for nonequispaced data Siam Journal On Scientific Computing. 14: 1368-1393. DOI: 10.1137/0914081  0.446
1993 Alpert B, Beylkin G, Coifman R, Rokhlin V. Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations Siam Journal On Scientific Computing. 14: 159-184. DOI: 10.1137/0914010  0.76
1993 Coifman R, Rokhlin V, Wandzura S. The Fast Multipole Method for the Wave Equation: A Pedestrian Prescription Ieee Antennas and Propagation Magazine. 35: 7-12. DOI: 10.1109/74.250128  0.448
1993 Murphy WD, Rokhlin V, Vassiliou MS. Acceleration methods for the iterative solution of electromagnetic scattering problems Radio Science. 28: 1-12. DOI: 10.1029/92Rs01924  0.382
1993 Rokhlin V. Diagonal Forms of Translation Operators for the Helmholtz Equation in Three Dimensions Applied and Computational Harmonic Analysis. 1: 82-93. DOI: 10.1006/Acha.1993.1006  0.498
1992 Engheta N, Murphy WD, Rokhlin V, Vassiliou MS. The Fast Multipole Method (FMM) for Electromagnetic Scattering Problems Ieee Transactions On Antennas and Propagation. 40: 634-641. DOI: 10.1109/8.144597  0.442
1992 Chen Y, Rokhlin V. On the inverse scattering problem for the Helmholtz equation in one dimension Inverse Problems. 8: 365-391. DOI: 10.1088/0266-5611/8/3/002  0.457
1991 Alpert BK, Rokhlin V. A Fast Algorithm for the Evaluation of Legendre Expansions Siam Journal On Scientific and Statistical Computing. 12: 158-179. DOI: 10.1137/0912009  0.716
1991 Greengard L, Rokhlin V. On the numerical solution of two-point boundary value problems Communications On Pure and Applied Mathematics. 44: 419-452. DOI: 10.1002/cpa.3160440403  0.542
1990 Anderson CR, Greengard C, Greengard L, Rokhlin V. On the accurate calculation of vortex shedding Physics of Fluids A. 2: 883-885. DOI: 10.1063/1.857646  0.639
1990 Rokhlin V. End-point corrected trapezoidal quadrature rules for singular functions Computers and Mathematics With Applications. 20: 51-62. DOI: 10.1016/0898-1221(90)90348-N  0.479
1990 Rokhlin V. Rapid solution of integral equations of scattering theory in two dimensions Journal of Computational Physics. 86: 414-439. DOI: 10.1016/0021-9991(90)90107-C  0.485
1990 Rokhlin V. Rapid solution of integral equations fast numerical algorithms Ieee Antennas and Propagation Society, Ap-S International Symposium (Digest). 1: 80-81.  0.408
1989 O’Donnell ST, Rokhlin V. A Fast Algorithm for the Numerical Evaluation of Conformal Mappings Siam Journal On Scientific and Statistical Computing. 10: 475-487. DOI: 10.1137/0910031  0.471
1989 Murphy WD, Rokhlin V, Vassiliou MS. Numerical second-kind-integral-equation solutions of electromagnetic scattering problems Electronics Letters. 25: 643-644.  0.327
1988 Carrier J, Greengard L, Rokhlin V. A Fast Adaptive Multipole Algorithm for Particle Simulations Siam Journal On Scientific and Statistical Computing. 9: 669-686. DOI: 10.1137/0909044  0.647
1988 Rokhlin V. A fast algorithm for the discrete laplace transformation Journal of Complexity. 4: 12-32. DOI: 10.1016/0885-064X(88)90007-6  0.483
1988 Ambrosiano J, Greengard L, Rokhlin V. The fast multipole method for gridless particle simulation Computer Physics Communications. 48: 117-125. DOI: 10.1016/0010-4655(88)90029-X  0.621
1985 Rokhlin V. Application of volume integrals to the solution of partial differential equations Computers and Mathematics With Applications. 11: 667-679. DOI: 10.1016/0898-1221(85)90163-4  0.531
1985 Rokhlin V. Rapid solution of integral equations of classical potential theory Journal of Computational Physics. 60: 187-207. DOI: 10.1016/0021-9991(85)90002-6  0.496
1983 Rokhlin V. Solution of acoustic scattering problems by means of second kind integral equations Wave Motion. 5: 257-272. DOI: 10.1016/0165-2125(83)90016-1  0.462
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