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Personal Profile

I am a postdoctoral fellow at Michigan State University! My updated contact info is:

Benjamin Ong
Department of Math, MSU
A337 - Wells Hall
East Lansing, MI, 48823
office: (517) 353.6332
home: (517) 214.3277
fax: (517) 432.1562
bwo [at] math [dot] msu [dot] edu

Research

At MSU, I'm working on several projects with Dr. Andrew Christlieb. (i) a grid-free method to perform plasma simulations. Specifically, particle-particle interaction is approximated by particle-cluster interactions, and a boundary integral approach is used to perform a fast simulation of the dynamics. (ii) integral deferred correction methods. These are high order integrators for solving stiff and non-stiff ODEs.

At SFU, I completed my doctorate dissertation under the supervision of Dr. Bob Russell and Dr. Steven Ruuth. The thesis introduced a new h-r hybrid moving mesh method, which utilized ideas from the level set framework to retain the smooth evolution of a mesh, while adding or removing grid nodes smoothly. A pdf of the thesis can be downloaded here. The thesis template used is available here. I have also made my .bib file available which contains references to papers pertaining to my recent research.

Research Image
An interesting application for these moving meshes are forest fire simulations, where better resolution of quantities near the flame front may be important. Here are some 2D movies showing a mesh which tracks a flame front when there is no wind and where there is an E-W wind.

Papers

refereed
  1. A new h-r hybrid moving mesh method,
    B. Ong, R. Russell, S. Ruuth,
    in preparation

  2. Particle simulation of weak solutions of the Vlasov-Poisson equations,
    A. Christlieb, R Krasny, B.Ong,
    in preparation

  3. Accurate Penning Trap Simulations,
    A. Christlieb, C. Macdonald, B.Ong,
    in preparation

  4. Adaptive Defect Correction,
    A. Christlieb, B.Ong, L. Vangroningen
    in preparation

  5. Krylov Accelerated Defect Correction,
    A. Christlieb, B.Ong, L. Vangroningen
    in preparation

  6. Regularized potentials and resulting errors in boundary integral solutions of Poisson's equation,
    K. Cartwright, A. Christlieb, B. Ong,
    in preparation

  7. Semi-implicit integral deferred correction using high order additive Runge-Kutta integrators,
    A. Christlieb, M. Morton, B. Ong, J. Qiu
    submitted

  8. Parallel Implicit Time Integrators,
    A. Christlieb, B. Ong
    submitted

  9. Parallel high-order integrators,
    A. Christlieb, C. Macdonald, B. Ong,
    SIAM J. Sci. Comput., 32(2):818-835, 2010, doi:10.1137/09075740X, pdf | bib | doi

  10. Integral deferred correction methods constructed with high order Runge-Kutta Methods,
    A. Christlieb, B. Ong, J. Qiu,
    Math. Comp., 79:761-783, 2010, doi:10.1090/S0025-5718-09-02276-5, pdf | bib | doi

  11. Comments on high order integrators embedded within integral deferred correction methods
    A. Christlieb, B. Ong, J. Qiu,
    Comm. Appl. Math and Comp. Sci., 4(1):27-56
    4(1), pgs 27-56, 2009 pdf | bib

  12. Burning issues with PROMETHEUS, the Canada's wildfire growth simulator,
    J. Barber, C. Bose, A. Bourlioux, J. Braun, E. Brunelle, T. Garcia, T. Hillen, B. Ong
    Canadian Applied Mathematics Quarterly, 16(4):337-378, 2008 pdf

un-refereed

Courses

I have taken or participated in an extensive number of courses at SFU. These include:

Teaching

I am presently teaching

In the past, I have taught:

I have also been a teaching assistant for:

Last updated: Monday, 23-Aug-2010 14:06:31 PDT

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