Publications

  1. A comparison of moment closures for kinetic transport equations: the line source benchmark, with C. K. Garrett, submitted to Transport Theory and Statistical Physics.
  1. Adaptive change of basis in entropy-based moment closures for linear kinetic equations, with G. W. Alldredge, D.P. O'Leary, and A. L. Tits, Journal of Computational Physics, 248 (2014), pp. 489-508.
  1. On Cellular Automata Models of Traffic Flow with Look-Ahead Potential, with Y. Sun and I. Timofeyev, to appear in Stochastics and Dynamics, 2013.
  2. Asymptotic-Preserving Lagrangian Approach for Modeling Anisotropic Transport in Magnetized Plasmas for Arbitrary Magnetic Fields, with L. Chacon and D. del Castillo-Negrete, submitted to Journal of Computational Physics, 2013.

  3. Perturbed, entropy-based closure for radiative transfer, with M. Frank and E. Olbrant, Kinetic and Related Models, 6 (2013) pp. 557-587.
  4. Radiation transport modeling using extended quadrature method of moments, with V. Vikas, Z. J. Wang and R. O. Fox. Journal of Computational Physics, 246 (2013), pp. 221 - 241.

  5. Sparse Dynamics for Partial Differential Equations, with H. Schaeffer, R. Caflisch, and S. Osher Proceedings of the National Academy of Science, 110 (2013), pp. 6634-6639.

  6. 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,  SIAM Journal on Scientific Computing, 34 (2012), pp. 361-391

  7. A Realizability-Preserving Discontinuous Galerkin Method for the M1 Model of Radiative Transfer, with E. Obrant and M. Frank, Journal of Computational Physics, 231 (2012), pp. 5612-5639.

  8. A Scattering-Based Hybrid Method for Time Dependent, Linear, Kinetic Transport Equations, with R. M. McClarren, Multiscale Model. Simul. Multiscale Modeling and Simulation, 11(2013), pp. 1197-1227.

  9. High-Order Entropy-Based Closures for Linear Transport in Slab Geometries, Commun. Math. Sci , 9 (2011), pp. 187-205.

  10. Simulating Radiative Transfer with Filtered Spherical Harmonics, with R. G. McClarren, Phys. Letters A , 374 (2010), pp. 2290-2296.

  11. Positive $P_N$ Closures, with R. M. McClarren, SIAM J. Sci. Comput. , 32(2010), pp. 2603-2626.

  12. Robust and Accurate Filtered Spherical Harmonics Expansions for Radiative Transfer, with R. . McClarren, Journal of Computational Physics, 229 (2010), pp. 5597-5614.

  13. 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.

  14. Temporal Regularization of The $P_N$ Equations, with R.B. Lowrie, Multiscale Model. Simul 1 (2009), pp. 1497-1524.

  15. 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.

  16. 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.

  17. 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.

  18. Practical Aspects of Birdcage Coils, with G.E. Entzminger Jr., and J. P. Staab, J. Magn. Res. 138 (1999), pp. 144-154.