Publications

Selected Publications:

  1. "Abstract Riccati Equations in an L1 Space of Finite Measure and Applications to Transport Theory, " Mathematical Methods in the Applied Sciences, Vol. 12, 53-67 (1990).
  2. "An Integrodifferential Equation for the Two-Dimensional Reflection Kernel" (with D. L. Seth), Applied Mathematics and Computation, Vol. 49, 1-18 (1992).
  3. "Global Existence for an Abstract Riccati Initial-Value Problem with Possibly Unbounded Coefficients" (with J. Juang), Journal of Mathematical Analysis and Applications, Vol. 166, 103-111 (1992).
  4. "Error and Optimality for Spatial Approximations in One-Dimensional Transport" (with Fan Yu), Transport Theory and Statistical Physics, Vol. 21, 237-257 (1992).
  5. "Angular Discretization Errors in Transport Theory: An Information-Based Approach," (with Fan Yu), Nuclear Science and Engineering, Vol. 112, 231-238 (1992).
  6. "Existence and Uniqueness of an Inverse Problem for a Hyperbolic System of LIDAR Probing" (with D.D. Bui), Inverse Problems, Vol. 8, 821-829 (1992).
  7. "A Computational Study of Discretization Error in the Solution of the Spencer-Lewis Equation by Doubling Applied to the Upwind Finite-Difference Approximation" (with D.L. Seth, and A..K. Ray), Journal of Computational Physics, Vol. 103, 370-381 (1992).
  8. "LOCFES - A Program for Automatic Determination of the Order of Spatial Approximations in One-Dimensional Particle Transport" (with D.S. Ek), Computer Physics Communications, Vol. 74, 91-118 (1993).
  9. "Worst-Case Errors for Some Spatial Approximations to a Model Problem in Two-Dimensional Transport" (with Transport Theory and Statistical Physics), Vol. 22, 271-291 (1993).
  10. "A Parallel Algorithm for an Inverse Problem Associated with a Hyperbolic System of Partial Differential Equations" (with Mike R. Phillips), Proc. 1994 Int. Conf. Parallel Processing, Vol. III, 55-63 (1994), CRC Press, Inc., Boca Raton, FL.
  11. "LOCFES-B: A Program for Solving the One-Dimensional Particle Transport Equation with User Selected CLOF Methods" (with R.D. Jarvis), Computer Physics Communications, Vol. 82, 265-286 (1994).
  12. "A Kinetic Model of Vehicular Traffic and its Associated Bimodel Equilibrium Solutions," Transport Theory and Statistical Physics, Vol. 24, 383-409 (1995).
  13. "Global Existence, Asympotics and Uniqueness for the Reflection of the Angularly Shifted Transport Equation" (with J. Juang), Mathematical Models and Methods in Applied Sciences, accepted.
  14. "Convergence Rates of Iterative Solutions of Algebraic Matrix Riccati Equations" (with J. Juang), Applied Mathematics and Computation, accepted.
  15. "LOCFES-B: Solving the One-Dimensional Transport Equation with User Selected Spatial Approximations" (with S.B. Childs), Proc. Int. Congress on Supercomputing and Transportation Research Centers, pp. 331-338, Mexican Transportation Research Institute, Sanfandila, Querataro, 1994.
  16. "On Generalized Finite-Difference Methods for Approximating Solutions to Integral Equations," submitted, (co-authored with G.D. Allen).
  17. "Convergence of Inner/Outer Source Iterations with Finite Termination of the Inner Iteration," Journal of Integral Equations and Applications, in press (co-authored with C.P. Patti and Beny Neta).
  18. "Concentration Profiles from LIDAR Measurements in the Presence of Multiple Scattering: The Two-Stream Approximation," Applied Optics, Vol. 28, pp. 4133-4140, 1989 (co-authored with I.S. Ayoubi).
  19. "Hypercube Implementations of Parallel Shooting," Applied Mathematics and Computation, Vol. 31, pp. 574-603, 1989 (co-authored with H.B. Keller).
  20. "Convergence of the Discrete-Cone Method in Plane-Parallel Geometry," Transport Theory and Statistical Physics, Vol. 18, pp. 347-362, 1989 (co-authored with Fan Yu).