Publications

  1. High-order entropy-based closures for linear transport in slab geometry II: A computational study of the optimization problem, with G. Alldredge and A.L. Tits, submitted .
  2. A Realizability-Preserving Discontinuous Galerkin Method for the M1 Model of Radiative Transfer, with E. Obrant and M. Frank, submitted .
  3. A Scattering-Based Hybrid Method for Time Dependent, Linear, Kinetic Transport Equations, with R. M. McClarren, submitted .
  4. High-Order Entropy-Based Closures for Linear Transport in Slab Geometries, Commun. Math. Sci , 9 (2011), pp. 187-205.
  5. Simulating Radiative Transfer with Filtered Spherical Harmonics, with R. M. McClarren, Phys. Letters A , 374 (2010), pp. 2290-2296.
  6. Positive $P_N$ Closures, with R. M. McClarren, SIAM J. Sci. Comput. , to appear.
  7. Robust and Accurate Filtered Spherical Harmonics Expansions for Radiative Transfer, with R. M. McClarren, Journal of Computational Physics, 229 (2010), pp. 5597-5614.
  8. Oscillatory Behavior of Asymptotic-Preserving Splitting Methods for a Linear Model of Diffusive Relaxation, with J. R. Haack, Kinetic and Related Models, 1 (2008), pp. 2239-2249.
  9. Temporal Regularization of The $P_N$ Equations, with R.B. Lowrie, Multiscale Model. Simul 1 (2009), pp. 1497-1524.
  10. Convex Duality and Entropy-Based Moment Closures: Characterizing Degenerate Densities, with C.D. Levermore and A.L. Tits, SIAM J. Control Optim., 47 (2008), pp. 1977-2015.
  11. Volume Determination for Bulk Materials in Bunkers, with S.A. Ahmed, R. Buckingham, P.A. Gremaud, C.M. Kuster, M. Prodanovic, T.A. Royal and V. Silantyev, Int. J. Numer. Meth. Eng., 61 (2004), pp. 2239-2249.
  12. Error-tolerant RF Litz Coils for NMR/MRI, with F.D. Doty and G.E. Entzminger Jr., J. Magn. Res. 140 (1999), pp. 17-31.
  13. Practical Aspects of Birdcage Coils, with G.E. Entzminger Jr., and J. P. Staab, J. Magn. Res. 138 (1999), pp. 144-154..