LCDR, USN (Ret.) Dr. Kirk A. Mathews

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Comm: 937-255-3636 x4508
DSN: 785-3636 x4508
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Publications

1.              Kirk A. Mathews, " Discrete Elements Method of Neutron Transport" , Nuclear  Science and Engineering, Vol 98, Pages 41-50, January 1988.

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).
 
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 " , volume 3, pages 13.2.4-1 through 1-3.2.4-12.*
 
4.        Kirk A. Mathews and Brian M. Minor (DS-93), " 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).
 
5.        Kirk A. Mathews, " Spectra of Cooling Blackbody Emitters as Basis Functions for Unfolding Integral Spectrum Measurements" , Journal of Radiation Effects Research and Engineering, Vol 12, No. 2, pp. 17-23, June 1994.
 
6.        Dennis J. Miller (GNE-90M) and Kirk A. Mathews, " Application of Cross-Validation Method to Iterative Unfolding of Diagnostic Spectra" , Journal of Radiation Effects Research and Engineering, Vol 12, No. 2, pp. 24-37, June 1994.
 
7.        Kirk A. Mathews and Dennis J. Miller (GNE-90M), " Smoothing Techniques for Unfolding of Diagnostic Spectra" , Journal of Radiation Effects Research and Engineering, Vol 12, No.  2, pp. 38-60, June 1994.
 
8.        Kirk Mathews, Glenn Sjoden (GNE-92M), and Brian Minor (DS-93), " Exponential Characteristic Spatial Quadrature for Discrete Ordinates Radiation Transport in Slab Geometry" , Nuclear Science and Engineering, Vol 118, No. 1, pp. 24-37, Sept 1994.
 
9.        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, April 30 - May 4, 1995, Portland, Oregon, pp. 906-915.*
 
10.  Brian Minor (DS-93) 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, July 1995.
 
11.  Dennis J. Miller (DS-93), Kirk A. Mathews, and Charles R. Brennan (DS-96), " 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).
 
12.  Kirk A. Mathews and Charles R. Brennan (DS-96), " Exponential Characteristic Radiation Transport Method for Unstructured Grids of Triangular Cells" , Nuclear Science and Engineering, Vol 126, No. 3, pp. 264-281 (1997).
 
13.  Kirk A. Mathews,  " On the Propagation of Rays in Discrete Ordinates" , Nuclear Science and Engineering, Vol 132, No. 2, pp. 155-180 (1999).
 
14.  Kirk A. Mathews, Rodney L. Miller (DS-98), and Charles R. Brennan (DS-96), " Split-Cell, Linear Characteristic Transport Method for Unstructured Tetrahedral Meshes" , Nuclear Science and Engineering, Vol 136, No. 1, pp. 1-24 (2000).
 
15.  Charles R. Brennan (DS-96), Rodney L. Miller (DS-98), and Kirk A. Mathews,  " Split-Cell, Exponential Characteristic Transport Method for Unstructured Tetrahedral Meshes" , Nuclear Science and Engineering, Vol. 138, No. 1 (2001).
 
16.  J. Mark DelGrande (DS-98) 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).
 
17.  David W. Gerts (DS-02) 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, April 6-11, 2003, on CD-ROM, American Nuclear Society, LaGrange Park, IL (2003). *
 
18.  Kirk Mathews and James Dishaw (DS-07),  " Matrix Albedo for Discrete Ordinates Infinite Medium Boundary Condition" , Joint International Topical Meeting on Mathematics & Computation and Supercomputing in Nuclear Applications (M& C + SNA 2007). Monterey, California, April 15-19, 2007, on CD-ROM, American Nuclear Society, LaGrange Park, IL (2007).*
 
19.  Mathews, K. A. and D. W. Gerts (AFIT), " 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.
 
20.  Kirk Mathews, James Dishaw (DS-07), Nicholas Prins(DS-08), and Nicholas Wager (DS-04),    " Adaptive Partial-Current Discrete-Ordinates Radiation Transport with Distribution Iteration: An Alternative to Source Iteration" , Nuclear Science and Engineering, Vol 163, No. 3, November 2009, pp. 191-214.
 
21.  Kirk Mathews, " Random Sampling from the Klein-Nishina Distribution: Efficiency, Parsimony, and Speed" , Nuclear Science and Engineering, Vol 173, pp. 207-221 (2013).
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