Download or read book Advanced Quadrature Sets, Acceleration and Preconditioning Techniques for the Discrete Ordinates Method in Parallel Computing Environments written by Gianluca Longoni and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ABSTRACT: In the nuclear science and engineering field, radiation transport calculations play a key-role in the design and optimization of nuclear devices. The linear Boltzmann equation describes the angular, energy and spatial variations of the particle or radiation distribution. The discrete ordinates method (Sn) is the most widely used technique for solving the linear Boltzmann equation. However, for realistic problems, the memory and computing time require the use of supercomputers. This research is devoted to the development of new formulations for the Sn method, especially for highly angular dependent problems, in parallel environments.