# Vladimir Rokhlin

## Affiliations: | Mathematics | Yale University, New Haven, CT |

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"Vladimir Rokhlin"##### Bio:

#### Parents

Sign in to add mentorJohn E. Dennis, Jr. | grad student | 1983 | Rice University | |

(Integral Equations Approach to Scattering Problems) |

#### Children

Sign in to add traineeBradley K. Alpert | grad student | NIST Boulder | |

Leslie Greengard | grad student | 1987 | Yale (Computational Biology Tree) |

Tomasz Hrycak | grad student | 1995 | Yale |

Petter N. Kolm | grad student | 2000 | Yale |

Hong Xiao | grad student | 2001 | Yale |

Mark W. Tygert | grad student | 2004 | Yale |

Andreas Glaser | grad student | 2007 | Yale |

Michael P. O'Neil | grad student | 2007 | Yale |

Ran Duan | grad student | 2008 | Yale |

Francis Pavan-Woolfe | grad student | 2008 | Yale |

Edouard S. Coakley | grad student | 2010 | Yale |

Wai Y. Kong | grad student | 2011 | Yale |

Andrei Osipov | grad student | 2011 | Yale |

Bogdan Vioreanu | grad student | 2012 | Yale |

Zhu W. Heitman | grad student | 2014 | Yale |

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#### Publications

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Garritano J, Kluger Y, Rokhlin V, et al. (2022) 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 |

Gimbutas Z, Marshall NF, Rokhlin V. (2020) A FAST SIMPLE ALGORITHM FOR COMPUTING THE POTENTIAL OF CHARGES ON A LINE. Applied and Computational Harmonic Analysis. 49 |

Leeb W, Rokhlin V. (2020) On the Numerical Solution of Fourth-Order Linear Two-Point Boundary Value Problems Siam Journal On Scientific Computing. 42: A1789-A1808 |

Hoskins JG, Rokhlin V, Serkh K. (2019) On the Numerical Solution of Elliptic Partial Differential Equations on Polygonal Domains Siam Journal On Scientific Computing. 41: A2552-A2578 |

Greengard P, Rokhlin V. (2018) An algorithm for the evaluation of the incomplete gamma function Advances in Computational Mathematics. 45: 23-49 |

Denlinger R, Gimbutas Z, Greengard L, et al. (2017) A Fast Summation Method for Oscillatory Lattice Sums. Journal of Mathematical Physics. 58 |

Denlinger R, Gimbutas Z, Greengard L, et al. (2017) A fast summation method for oscillatory lattice sums Journal of Mathematical Physics. 58: 023511 |

Bremer J, Rokhlin V. (2017) On the nonoscillatory phase function for Legendre's differential equation Journal of Computational Physics. 350: 326-342 |

Serkh K, Rokhlin V. (2016) On the solution of the Helmholtz equation on regions with corners. Proceedings of the National Academy of Sciences of the United States of America |

Bremer J, Rokhlin V. (2016) Improved estimates for nonoscillatory phase functions Discrete and Continuous Dynamical Systems- Series A. 36: 4101-4131 |