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Dmitriy Y. AnistratovSelected PublicationsD.Y. Anistratov & J. T. Fleming, "Asymptotic Diffusion Analysis of Conservative Methods of Long and Short Characteristics for 1D Spherical Geometry,'' Trans. Am. Nucl. Soc., 98, 504-507 (2008). A. Constantinescu & D.Y. Anistratov, "Stability Analysis of the Quasidiffusion Method on Periodic Heterogeneous 1D Transport Problems,'' Transport Theory and Statistical Physics, submitted. L. Roberts & D. Y. Anistratov, "Nonlinear Weighted Flux Methods for Particle Transport Problems," Transport Theory and Statistical Physics, 36, No. 7, 2007. W. Wieselquist & D.Y. Anistratov, "The Quasidiffusion Method for Transport Problems in 2D Cartesian Geometry on Grids Composed of Arbitrary Quadrilaterals,'' Trans. Am. Nucl. Soc., 97, 475-478 (2007). W. Wieselquist & D.Y. Anistratov, "The Quasidiffusion Method for 2D Transport Problems on AMR Grids,'' Trans. Am. Nucl. Soc., 96, 565-567 (2007). L. Roberts & D.Y. Anistratov, "Nonlinear Weighted Flux Methods for Solving the Transport Equation in 2D Cartesian Geometry,'' Proceedings of M&C + SNA 2007, Joint International Topical Meeting on Mathematics & Computations and Supercomputing in Nuclear Applications, Monterey, CA, 13 pp. (2007). A. Constantinescu & D.Y. Anistratov, "Stability Analysis of the Quasidiffusion Method for Multidimensional Problems with Material Discontinuities,'' Proceedings of M&C + SNA 2007, Joint International Topical Meeting on Mathematics & Computations and Supercomputing in Nuclear Applications, Monterey, CA, 11 pp. (2007). D. Y. Anistratov, "Nonlinear Quasidiffusion Acceleration Methods with Independent Discretization,'' Trans. Am. Nucl. Soc., 95, 553-555 (2006). A. Constantinescu & D. Y. Anistratov, "Stability Analysis of the Quasidiffusion Method for 1D Periodic Heterogeneous Problems,'' Trans. Am. Nucl. Soc., 95, 565-567 (2006). H. Hikaru & D. Y. Anistratov, "Homogenization Method for the Two-Dimensional Low-Order Quasi-Diffusion Equations for Reactor Core Calculations," Nuclear Science and Engineering, 154, 328-352, 2006. L. Roberts & D. Y. Anistratov, "Nonlinear Weighted Flux Methods for Particle Transport Problems," M&C 2005, Proceedings of of Int. Conf. on Mathematics and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications, Palais des Papes, Avignon, France, September 12-15, 2005, 10 pp. H. Hikaru & D. Y. Anistratov, "Strongly Consistent Coarse-Mesh Discretization Method for the Multidimensional Low-Order Quasidiffusion Equations Based on the Equations for the Subregion-Averaged Scalar Fluxes," M&C 2005, Proceedings of of Int. Conf. on Mathematics and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications, Palais des Papes, Avignon, France, September 12-15, 2005, 12 pp. D. Y. Anistratov, "Consistent Spatial Approximation of the Low-Order Quasidiffusion Equations on Coarse Grids," Nuclear Science and Engineering, 149, 138-161, 2005. H. Hikaru, D. Y. Anistratov & M.L. Adams, "Splitting Method for Solving the Coarse-Mesh Discretized Low-Order Quasidiffusion Equations," Nuclear Science and Engineering, 149, 162-181, 2005. D. Y. Anistratov, "Coarse-Mesh Discretized Low-Order Quasidiffusion Equations for Subregion Averaged Scalar Fluxes," PHYSOR 2004, Proceedings of of Int. Conf. on Fuel Cycles and Advanced Nuclear Systems: Global Developments, Chicago, Illinois, April 25-29, 2004, 9 pp. H. Hikaru, D. Y. Anistratov, "Spatially Consistent Coarse-Mesh Discretization of the Low-Order Quasidiffusion Equations in 2D Geometry," PHYSOR 2004, Proceedings of of Int. Conf. on Fuel Cycles and Advanced Nuclear Systems: Global Developments, Chicago, Illinois, April 25-29, 2004, 13 pp. D. Y. Anistratov, "Coarse-Mesh Spatial Approximation of the Low-Order Quasidiffusion Equations Consistent with Fine-Mesh Transport Discretization,"Proceedings of American Nuclear Society Topical Meeting in Mathematics & Computations, Nuclear Mathematical and Computational Sciences: A Century in Review - A Century Anew, TN, April 6-10, 2003, 19 pp. D. Y. Anistratov, "Homogenization Methodology for the Low-Order Equations of the Quasidiffusion Method,"Proceedings of Int. Conf. On the New Frontiers of Nuclear Technology: Reactor Physics, Safety and High-Performance Computing, PHYSOR 2002, Seoul, Korea, October 7-10, 2002, 20 pp. D. Y. Anistratov and E.W. Larsen, "Nonlinear and Linear alpha-Weighted Methods for Particle Transport Problems," Journal of Computational Physics, 173, 664-684 (2001). D. Y. Anistratov, "The Generalized Quasidiffusion Method for Solving Adjoint Transport Problems with Alternating Solutions,'' Trans. Am. Nucl. Soc., 83, 348-350 (2000). D. Y. Anistratov and M. L. Adams, "Consistent Coarse-Mesh Discretization of the Low-Order Equations of the Quasidiffusion Method,'' Trans. Am. Nucl. Soc., 83, 250-251 (2000). D. Y. Anistratov, "An Asymptotic Analysis of the Fokker-Planck Limit of a General Spatial Moment Method for the Transport Equation," Transport Theory and Statistical Physics, 28, No. 7, 679-708 (1999). D. Y. Anistratov, "The Fokker-Planck Limit of a Family of Transport Differencing Methods," Trans. Am. Nucl. Soc., 79, 129-131 (1998). D. Y. Anistratov and M.L. Adams, "Analysis of a Partial-MOX Core Design with Tritium Targets for LWR," Proceedings of International Conference on the Physics of Nuclear Science and Technology, October 5-8, 1998, Long Island, NY, 271-280 (1998). D. Y. Anistratov, M.L. Adams and E.W. Larsen, "Acceleration of the Nonlinear Corner-Balance Scheme by the Averaged Flux Method," Journal of Computational Physics, 135, 66-75 (1997). D. Y. Anistratov and C.L. Castrianni, "Stability Analysis of the Nonlinear/Exponential Characteristics Method with Source Iterations," Proceedings of Joint International Conference on Mathematical Methods and Supercomputing for Nuclear Applications, Saratoga, USA, 1997, 1277-1286 (1997). D. Y. Anistratov and E.W. Larsen, "Alpha-Weighted Acceleration Methods for Transport Iterations," Trans. Am. Nucl. Soc., 75, 154-156 (1996). D. Y. Anistratov, E.N. Aristova and V.Ya. Gol'din, "A Nonlinear Method for Solving the Problems of Radiation Transfer in a Physical System," Mathematical Modeling, 8, No. 12, 3-28 (1996), (in Russian). V. Ya. Gol'din and D. Y. Anistratov, "Fast Neutron Reactor in a Self-Adjusting Neutron-Nuclide Regime," Mathematical Modeling, 7, No. 10, 12-32 (1995) (in Russian). D. Y. Anistratov and V. Ya. Gol'din, "Nonlinear Methods for Solving Particle Transport Problems," Transport Theory and Statistical Physics, 22, No. 2&3, 42-77 (1993). D.Y. Anistratov and V.Ya. Gol'din, "Numerical Solution of the Time-Dependent Transport Equation Coupled with the Burnup and Reactor Kinetics Equations," Abstracts, International Symposium on Numerical Transport Theory, May 26-28, 1992, Moscow, Russia, Nuclear Society, 33-36 (1992). D.Y. Anistratov and V.Ya. Gol'din,"A Two-Stage Difference Scheme with Complex Coefficients for Solving Systems of the First Order Nonlinear ODE," Mathematical Modeling, 4, No. 2, 45-50 (1992) (in Russian). D.Y. Anistratov, V. Ya. Gol'din, A. V. Kolpakov, O. V. Pastushkova and A. V. Shilkov, "An Advanced Model for High Temperature Radiative Hydrodynamics," Abstracts, Sixth National Conference on Dynamics of Radiating Gas, December 7-9, 1987, Moscow, USSR, 49 (1987) (in Russian). D.Y. Anistratov and V.Ya. Gol'din,"Solution of the Multigroup Transport Equation by the Quasidiffusion Method," Preprint of the Keldysh Institute for Applied Mathematics, the USSR Academy of Sciences, No. 128, 19 pp. (1986) (in Russian). D.Y. Anistratov and V.Ya. Gol'din,"Comparison of Difference Schemes for the Quasidiffusion Method for Solving the Transport Equation," Problems of Atomic Science and Engineering: Methods and Codes for Numerical Solution of Mathematical Physics Problems, 2, 17-23 (1986) (in Russian).  
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Department of Nuclear Engineering NC State University Raleigh, North Carolina |
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