ADVANCED QUADRATURE SETS, ACCELERATION AND PRECONDITIONING TECHNIQUES FOR THE DISCRETE ORDINATES METHOD IN PARALLEL COMPUTING ENVIRONMENTS

[1]  Alireza Haghighat,et al.  DEVELOPMENT AND APPLICATION OF THE REGIONAL ANGULAR REFINEMENT TECHNIQUE AND ITS APPLICATION TO NON-CONVENTIONAL PROBLEMS , 2002 .

[2]  Jim E. Morel,et al.  Krylov Iterative Methods and the Degraded Effectiveness of Diffusion Synthetic Acceleration for Multidimensional SN Calculations in Problems with Material Discontinuities , 2004 .

[3]  Analysis of inherent oscillations in multidimensional SN solutions of the neutron transport equation , 1996 .

[4]  ON THE DEGRADED EFFECTIVENESS OF DIFFUSION SYNTHETIC ACCELERATION FOR MULTIDIMENSIONAL SN CALCULATIONS IN THE PRESENCE OF MATERIAL DISCONTINUITIES , 2002 .

[5]  J. K. Fletcher.  The Solution of the Multigroup Neutron Transport Equation Using Spherical Harmonics , 1983 .

[6]  E. M. Gelbard,et al.  The Synthetic Method as Applied to the S n Equations , 1969 .

[7]  Giuseppe Palmiotti,et al.  Simplified spherical harmonics in the variational nodal method , 1997 .

[8]  G. Sjoden,et al.  DEVELOPMENT AND APPLICATIONS OF THE SPL METHODOLOGY FOR A CRITICALITY EIGENVALUE BENCHMARK PROBLEM , 2003 .

[9]  Anthony Skjellum,et al.  Using MPI - portable parallel programming with the message-parsing interface , 1994 .

[10]  Glenn Eric Sjoden.  Pentran: a parallel 3-DS(N) transport code with complete phase space decomposition, adaptive differencing, and iterative solution methods. , 1997 .

[11]  K. D. Lathrop.  Remedies for Ray Effects , 1971 .

[12]  R. E. Alcouffe,et al.  Diffusion synthetic acceleration methods for the diamond-differenced discrete-ordinates equations , 1977 .

[13]  Gene H. Golub,et al.  Scientific computing: an introduction with parallel computing , 1993 .

[14]  Alireza Haghighat,et al.  DEVELOPMENT OF NEW QUADRATURE SETS WITH THE "ORDINATE SPLITTING" TECHNIQUE , 2001 .

[15]  G. I. Bell,et al.  Nuclear Reactor Theory , 1952 .

[16]  Shoichiro Nakamura.  Computational methods in engineering and science , 1977 .

[17]  Edward W. Larsen,et al.  Fast iterative methods for discrete-ordinates particle transport calculations , 2002 .

[18]  K. D. Lathrop,et al.  DISCRETE ORDINATES ANGULAR QUADRATURE OF THE NEUTRON TRANSPORT EQUATION , 1964 .

[19]  Edward W. Larsen,et al.  The Simplified P3 Approximation , 2000 .

[20]  E. Gelbard,et al.  ITERATIVE SOLUTIONS TO THE Pl AND DOUBLE-Pl EQUATIONS , 1959 .

[21]  W. H. Reed.  The Effectiveness of Acceleration Techniques for Iterative Methods in Transport Theory , 1971 .

[22]  K. D. Lathrop.  Spatial differencing of the transport equation: Positivity vs. accuracy , 1969 .

[23]  Edward W. Larsen,et al.  UNCONDITIONALLY STABLE DIFFUSION-SYNTHETIC ACCELERATION METHODS FOR THE SLAB GEOMETRY DISCRETE ORDINATES EQUATIONS. PART I: THEORY. , 1982 .

[24]  The Even-Parity Simplified SN Equations Applied to a MOX Fuel Assembly Benchmark Problem on Distributed Memory Environments , 2004 .

[25]  G. Sjoden,et al.  DEVELOPMENT AND APPLICATION OF THE MULTIGROUP SIMPLIFIED P3 (SP3) EQUATIONS IN A DISTRIBUTED MEMORY ENVIRONMENT. , 2002 .