Vladimir Rokhlin - Publications

Affiliations: 
Mathematics Yale University, New Haven, CT 

81 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
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  0.76
2017 Denlinger R, Gimbutas Z, Greengard L, Rokhlin V. A Fast Summation Method for Oscillatory Lattice Sums. Journal of Mathematical Physics. 58. PMID 33087986  1
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  1
2016 Lederman RR, Rokhlin V. On the analytical and numerical properties of the truncated laplace transform. Part II Siam Journal On Numerical Analysis. 54: 665-687. DOI: 10.1137/15M1028583  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
2009 Beylkin G, Coifman RR, Rokhlin V. Fast wavelet transforms and numerical algorithms I Fundamental Papers in Wavelet Theory. 741-783.  1
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  1
2008 Woolfe F, Liberty E, Rokhlin V, Tygert M. A fast randomized algorithm for the approximation of matrices Applied and Computational Harmonic Analysis. 25: 335-366. DOI: 10.1016/j.acha.2007.12.002  1
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  1
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  1
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  1
2007 Martinsson PG, Rokhlin V. A fast direct solver for scattering problems involving elongated structures Journal of Computational Physics. 221: 288-302. DOI: 10.1016/j.jcp.2006.06.037  1
2007 Rokhlin V, Xiao H. Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit Applied and Computational Harmonic Analysis. 22: 105-123. DOI: 10.1016/j.acha.2006.05.004  1
2006 Rokhlin V, Tygert M. Fast algorithms for spherical harmonic expansions Siam Journal On Scientific Computing. 27: 1903-1928. DOI: 10.1137/050623073  1
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  1
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  1
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  1
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  1
2005 Martinsson PG, Rokhlin V. A fast direct solver for boundary integral equations in two dimensions Journal of Computational Physics. 205: 1-23. DOI: 10.1016/j.jcp.2004.10.033  1
2005 Martinsson PG, Rokhlin V, Tygert M. A fast algorithm for the inversion of general Toeplitz matrices Computers and Mathematics With Applications. 50: 741-752. DOI: 10.1016/j.camwa.2005.03.011  1
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  1
2003 Gimbutas Z, Rokhlin V. A generalized fast multipole method for nonoscillatory kernels Siam Journal On Scientific Computing. 24: 796-817. DOI: 10.1137/S1064827500381148  1
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  1
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  1
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  1
2002 Contopanagos H, Dembart B, Epton M, Ottusch JJ, Rokhlin V, Visher JL, Wandzura SM. Well-conditioned boundary integral equations for three-dimensional electromagnetic scattering Ieee Transactions On Antennas and Propagation. 50: 1824-1830. DOI: 10.1109/TAP.2002.803956  1
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  1
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  1
2000 Dutt A, Greengard L, Rokhlin V. Spectral deferred correction methods for ordinary differential equations Bit Numerical Mathematics. 40: 241-266.  1
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  1
1999 Yarvin N, Rokhlin V. An improved fast multipole algorithm for potential fields on the line Siam Journal On Numerical Analysis. 36: 629-666.  1
1999 Cheng H, Rokhlin V, Yarvin N. Nonlinear optimization, quadrature, and interpolation Siam Journal On Optimization. 9: 901-923.  1
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  1
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  1
1998 Rokhlin V. Sparse diagonal forms for translation operators for the Helmholtz equation in two dimensions Applied and Computational Harmonic Analysis. 5: 36-67.  1
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  1
1997 Greengard L, Rokhlin V. A fast algorithm for particle simulations Journal of Computational Physics. 135: 280-292. DOI: 10.1006/jcph.1997.5706  1
1997 Kapur S, Rokhlin V. High-order corrected trapezoidal quadrature rules for singular functions Siam Journal On Numerical Analysis. 34: 1331-1356.  1
1996 Dutt A, Gu M, Rokhlin V. Fast algorithms for polynomial interpolation, integration, and differentiation Siam Journal On Numerical Analysis. 33: 1689-1711.  1
1996 Ma J, Rokhlin V, Wandzura S. Generalized Gaussian quadrature rules for systems of arbitrary functions Siam Journal On Numerical Analysis. 33: 971-996.  1
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  1
1994 Rokhlin V, Wandzura S. Fast multipole method for periodic structures Ieee Antennas and Propagation Society, Ap-S International Symposium (Digest). 1: 424-426.  1
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  1
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  1
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  1
1993 Hamiton LR, Rokhlin V, Stalzer MA, Turley RS, Visher JL, Wandzura SM. Importance of accurate surface models in RC computations Ap-S International Symposium (Digest) (Ieee Antennas and Propagation Society). 3: 1136-1139.  1
1993 Coifman R, Rokhlin V, Wandzura S. Fast multipole method for electromagnetic scattering calculations Ap-S International Symposium (Digest) (Ieee Antennas and Propagation Society). 1: 48-51.  1
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  1
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  1
1990 Murphy WD, Rokhlin V, Vassiliou MS. Solving electromagnetic scattering problems at resonance frequencies Journal of Applied Physics. 67: 6061-6065. DOI: 10.1063/1.345217  1
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  1
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  1
1990 Anderson CR, Greengard C, Greengard L, Rokhlin V. On the accurate calculation of vortex shedding Physics of Fluids A. 2: 883-885.  1
1990 Rokhlin V. Rapid solution of integral equations fast numerical algorithms Ieee Antennas and Propagation Society, Ap-S International Symposium (Digest). 1: 80-81.  1
1989 Murphy WD, Rokhlin V, Vassiliou MS. Numerical second-kind-integral-equation solutions of electromagnetic scattering problems Electronics Letters. 25: 643-644.  1
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  1
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  1
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  1
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  1
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  1
Show low-probability matches.