Dept of Engineering Physics
Email: Kirk Mathews
Ph.D., Nuclear Engineering, Air Force Institute of Technology, 1983
M.S., Nuclear Science, Air Force Institute of Technology, 1982
B.S., Physics and English Literature, California Institute of Technology, 1972
Computational Methods of Neutral Particle Transport: Discrete ordinates spatial quadratures, angular quadratures, cross-section representations, boundary conditions, and alternatives to source iteration.
Computational Models for Nuclear Weapons Effects and the Nuclear Fuel Cycle.
RADIATION TRANSPORT ALGORITHMS AND METHODS (CONTACT ME FOR DETAILS)
17. Kirk Mathews, James Dishaw, Nicholas Prins, and Nicholas Wager, “Adaptive Partial-Current Discrete-Ordinates Radiation Transport with Distribution Iteration: An Alternative to Source Iteration,” Nuclear Science and Engineering, accepted for publication (1 April 2009).
16. K.A. Mathews and D.W. Gerts, “Bayesian analysis for very-low-background counting of short-lived isotopes: Lowest Minimum Detectable Quantity,” Journal of Radio-analytical and Nuclear Chemistry, Vol. 276, No. 2 (2008), pp. 305-312.
15. Kirk Mathews and James Dishaw, “Matrix Albedo for Discrete Ordinates Infinite-Medium Boundary Condition,” Joint International Topical Meeting on Mathematics and Computation and Supercomputing in Nuclear Applications (M&C + SNA 2007), Monterey, California, 15-19 April2007, on CD-ROM, American Nuclear Society, LaGrange Park, Illinois (2007).
14. David W. Gerts and Kirk A. Mathews, “Nonnegative Anisotropic Piecewise-Average Multigroup Cross Sections,” Nuclear Mathematical and Computational Sciences: A Century in Review, A Century Anew, Gatlinburg, Tennessee, 6-11 April2003, on CD-ROM, American Nuclear Society, LaGrange Park, Illinois (2003).
13. J. Mark DelGrande and Kirk A. Mathews, “Nonnegative Anisotropic Group Cross Sections: A Hybrid Monte Carlo / Discrete Elements / Discrete Ordinates Approach,” Nuclear Science and Engineering, Vol. 139, No. 1 (2001).
12. Charles R. Brennan, Rodney L. Miller, and Kirk A. Mathews, “Split-Cell, Exponential Characteristic Transport Method for Unstructured Tetrahedral Meshes,” Nuclear Science and Engineering, Vol. 138, No. 1 (2001).
11. Kirk A. Mathews, Rodney L. Miller, and Charles R. Brennan, “Split-Cell, Linear Characteristic Transport Method for Unstructured Tetrahedral Meshes,” Nuclear Science and Engineering, Vol 136, No. 1, pp. 1-24 (2000).
10. Kirk A. Mathews, “On the Propagation of Rays in Discrete Ordinates,” Nuclear Science and Engineering, Vol 132, No. 2, pp. 155-180 (1999).
9. Kirk A. Mathews and Charles R. Brennan, “Exponential Characteristic Radiation Transport Method for Unstructured Grids of Triangular Cells,” Nuclear Science and Engineering, Vol 126, No. 3, pp. 264-281 (1997).
8. Dennis J. Miller, Kirk A. Mathews, and Charles R. Brennan, "Split-Cell Discrete Ordinates Transport on an Unstructured Grid of Triangular Cells," Transport Theory and Statistical Physics, Vol 25, No. 7, pp. 833-867 (1996).
7. Brian Minor and Kirk Mathews, “Exponential Characteristic Spatial Quadrature for Discrete Ordinates Radiation Transport with Rectangular Cells,” Nuclear Science and Engineering, Vol 120, No. 3, pp. 165-186 (1995).
6. Kirk A. Mathews, “Exponential Characteristic Spatial Quadrature for Discrete Ordinates Radiation Transport on an Unstructured Grid of Triangular Cells,” Proceedings of the International Conference on Mathematics and Computations, Reactor Physics, and Environmental Analyses,30 April - 4 May1995, Portland, Oregon, pp. 906-915.
5. Kirk Mathews, Glenn Sjoden, and Brian Minor, "Exponential Characteristic Spatial Quadrature for Discrete Ordinates Radiation Transport in Slab Geometry," Nuclear Science and Engineering, Vol 118, No. 1, pp. 24-37 (1994).
4. Kirk A. Mathews and Brian M. Minor, "Adaptive Characteristic Spatial Quadratures for Discrete Ordinates Neutral Particle Transport -- The Rectangular Cell Case," Transport Theory and Statistical Physics, Vol 22, No. 5, pp. 655-685 (1993).
3. Kirk A. Mathews, "Step Adaptive Characteristic Spatial Quadrature for Discrete Ordinates Neutral Particle Transport in Two-Dimensional Cartesian Coordinates," in "Proceedings of the International Topical Meeting Advances in Mathematics, Computations, and Reactor Physics, April 28 - May 2, 1991," Vol. 3, pp. 13.2.4-1 through 1-3.2.4-12.
2. Kirk A. Mathews, "Adaptive Characteristic Spatial Quadratures for Discrete Ordinates Neutral Particle Transport -- The Slab Geometry Case," Transport Theory and Statistical Physics, Vol 19, No. 6, pp. 419-458 (1990).
1. Kirk A. Mathews, "Discrete Elements Method of Neutron Transport," Nuclear Science and Engineering, Vol 98, No. 1, pp. 41-50 (1988).