Publications: Other Projects in Scientific Computing and Numerical Analysis

• A mathematical model for Nordic skiing (with J. S. MacDonald and R. Ordoñez Cardales), SIAM Review, 68(2):423-455, 2026.   [ DOI | arXiv | Suppl ]
• An open-access clicker question bank for numerical analysis (with M.A. Hossain and P.M. Menz).
  PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 32(8):858-880, 2022.   [ DOI | arXiv ]
• Modelling dynamic ice sheet boundaries and grounding line migration using the level set method (with M.A. Hossain and S. Pimentel).
  To appear in Journal of Glaciology, 66(259):766-776, 2020.   [ DOI ]
• A Bayesian approach for energy-based estimation of acoustic aberrations in high intensity focused ultrasound treatment (with B. Hosseini, C. Mougenot, S. Pichardo, E. Constanciel and J.M. Drake).
  Communications in Computational Physics, 25(5):1564-1590, 2019.   [ DOI | arXiv | MR3899446 ]
• On regularizations of the delta distribution (with B. Hosseini and N. Nigam).
  Journal of Computational Physics, 305:423-447, 2016.   [ DOI | arXiv | MR3429589 ]
• An efficient parallel immersed boundary algorithm using a pseudo-compressible fluid solver (with J.K. Wiens).
  Journal of Computational Physics, 281:917-941, 2015.   [ DOI | arXiv | MR3282002 ]
• Riemann solver for a kinematic wave traffic model with a discontinuous flux (with J.K. Wiens and JF Williams).
  Journal of Computational Physics, 242:1-23, 2013.   [ DOI | arXiv | MR3062021 ]
• A moving mesh method with variable relaxation time (with A. Soheili).
  Applied Numerical Mathematics, 58(3):249-263, 2008.   [ DOI  | arXiv | MR2391445 ]
• A moving mesh method for hyperbolic conservation laws (with J.A. Mackenzie and R.D. Russell).
  SIAM Journal on Scientific Computing, 22(5):1791-1813, 2001.   [ DOI | MR1813298 ]
• Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes (with B.R. Wetton).
  Journal of Computational Physics, 154:41-64, 1999.   [ DOI ]
• An interactive course in numerical methods for the earth sciences (with S.E. Allen and P.H. Austin).
  Bulletin of the American Meteorological Society 78(7):1503-1509, 1997.
• Stability analysis for the immersed fiber problem (with B.R. Wetton).
  SIAM Journal on Applied Mathematics 55(6):1577-1591, 1995.   [ DOI ]
• The generalized Lagrangian method with flux limiters (with S. Sivaloganathan).
  International Journal of Numerical Methods for Heat & Fluid Flow 5(2):121-130, 1995.   [ DOI ]