Download or read book A Method of Solution of the Neutron Transport Equation in Multidimensional Cartesian Geometries Using Spherical Harmonics and Spatially Orthogonal Polynomials written by Thomas Edward Fenstermacher and published by . This book was released on 1981 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Method of Moments for Solving the Neutron Transport Equation written by Bengt G. Carlson and published by . This book was released on 1965 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1982 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Splitting Iterative Methods for Solving Multidimensional Neutron Transport Equations written by Jacques Tagoudjeu and published by Universal-Publishers. This book was released on 2011-04 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis focuses on iterative methods for the treatment of the steady state neutron transport equation in slab geometry, bounded convex domain of Rn (n = 2,3) and in 1-D spherical geometry. We introduce a generic Alternate Direction Implicit (ADI)-like iterative method based on positive definite and m-accretive splitting (PAS) for linear operator equations with operators admitting such splitting. This method converges unconditionally and its SOR acceleration yields convergence results similar to those obtained in presence of finite dimensional systems with matrices possessing the Young property A. The proposed methods are illustrated by a numerical example in which an integro-differential problem of transport theory is considered. In the particular case where the positive definite part of the linear equation operator is self-adjoint, an upper bound for the contraction factor of the iterative method, which depends solely on the spectrum of the self-adjoint part is derived. As such, this method has been successfully applied to the neutron transport equation in slab and 2-D cartesian geometry and in 1-D spherical geometry. The self-adjoint and m-accretive splitting leads to a fixed point problem where the operator is a 2 by 2 matrix of operators. An infinite dimensional adaptation of minimal residual and preconditioned minimal residual algorithms using Gauss-Seidel, symmetric Gauss-Seidel and polynomial preconditioning are then applied to solve the matrix operator equation. Theoretical analysis shows that the methods converge unconditionally and upper bounds of the rate of residual decreasing which depend solely on the spectrum of the self-adjoint part of the operator are derived. The convergence of theses solvers is illustrated numerically on a sample neutron transport problem in 2-D geometry. Various test cases, including pure scattering and optically thick domains are considered.
Download or read book INIS Atomindeks written by and published by . This book was released on 1983 with total page 1496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1984 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Approximate Solution to Neutron Transport Equation Using Spherical Harmonics Expansion and a Conservative Variational Principle written by Chih Ping Fan and published by . This book was released on 1984 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Studies of the Spherical Harmonics Method in Neutron Transport Theory written by Walter Kofink and published by . This book was released on 1960 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational Methods of Neutron Transport written by Elmer Eugene Lewis and published by Wiley-Interscience. This book was released on 1984 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Variational Boundary Conditions for the Spherical Harmonics Approximation to the Neutron Transport Equation written by Gerald C. Pomraning and published by . This book was released on 1963 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1981 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Solutions of the Boltzmann Equation for Monoenergetic Neutron Transport in Spherical Geometry written by Walter Kofink and published by . This book was released on 1961 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A P 9 Multigroup Method for Solution of the Transport Equation in Slab Geometry written by R. C. Gast and published by . This book was released on 1960 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Modular Nodal Method for Solving the Neutron Transport Equation Using Spherical Harmonics in Two Dimensions written by Feyzi Inanc and published by . This book was released on 1989 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Buckled Spherical Harmonics Solutions of Neutron Transport Problems written by Roger Neil Blomquist and published by . This book was released on 1979 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Solution of the Neutron Transport Equation written by J. Certaine and published by . This book was released on 1956 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Briefs written by and published by . This book was released on 1983 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt:
