The webpage of Mike O'Neil

[ Research interests ]

Computational electromagnetics, fast algorithms, integral equations, special functions, direct solvers, high order quadratures, numerical analysis, numerical conformal mapping

[ Publications ]

  1. C. L. Epstein, Z. Gimbutas, L. Greengard, A. Klockner, and M. O'Neil,
    A consistency condition for the vector potential in multiply-connected domains, 2012, pre-print available [ arXiv:1203.3993 ]
  2. L. Greengard, M. O'Neil, and A. Pataki,
    On the efficient representation of the impedance Green's function for the Helmholtz equation, 2011, pre-print available [ arXiv:1109.6708 ]
  3. C. Epstein, L. Greengard, and M. O'Neil,
    Debye sources and the numerical solution of the time harmonic Maxwell equations, II, to appear, Comm. Pure Appl. Math., 2011, pre-print available [ arXiv:1105.3217 ]
  4. M. O'Neil, F. Woolfe, and V. Rokhlin,
    An algorithm for the rapid evaluation of special function transforms, Appl. Comput. Harmon. Anal. 28 (2010) 203-226 [ pdf ]
  5. M. O'Neil,
    A new class of analysis-based fast transforms: With applications to classical integral transforms and special function expansions, Lambert Academic Publishing, 2009 [ buy ]
  6. L. Ng, R. Rand, and M. O'Neil,
    Slow passage through resonance in Mathieu's equation, Journal of Vibration and Control 2003 9: 685 [ pdf ]

[ Selected talks ]

  1. Low-frequency electromagnetic scattering in multiply-connected geometries, Courant Institute, NYU, March 23, 2012
  2. Stabilizing the magnetic field integral equation at low frequencies for multiply-connected scatterers, Dartmouth College, February 21, 2012 [ pdf ]
  3. A robust axisymmetric electromagnetic scattering solver using generalized Debye sources, NJIT, Newark, NJ, June 9, 2011
  4. An algorithm for the rapid evaluation of special function transforms, Courant Institute, NYU, New York, NY, November 5, 2010 [ pdf ]
  5. An algorithm for the rapid evaluation of special function transforms, Princeton University, Princeton, NJ, February 9, 2010

[ Teaching ]

  1. MATH 140: Linear Algebra, Spring 2012, Courant Institute, NYU

Courant Institute at NYU
251 Mercer St Room 1105A
New York, NY 10012
oneil@cims.nyu.edu
212-992-5874