Convergence of inner/outer source iterations with finite termination of the inner iterations
Neta_Convergence.pdf (1.662Mb)Abstract
A two-stage (nested) iteration strategy, in
which the outer iteration is analogous to a block Gauss-Seidel
method and the inner iteration to a Jacobi method for each
of these blocks, often are used in the numerical solution of
discretized approximations to the neutron transport equation.
This paper is concerned with the effect, within a continuous
space model, of errors from finite termination of the inner
iterations upon the overall convergence. The main result
is that convergence occurs, to the solution of the original
problem, in the limit that both the outer iteration index and
the minimum over all outer indices and all groups ("blocks")
jointly become large. Positivity properties (in the sense of
cone preserving) are used extensively.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
Related items
Showing items related by title, author, creator and subject.
-
ARMA modeling
(1988-12);This thesis estimates the frequency response of a network where the only data is the output obtained from an Autoregressive-moving average (ARMA) model driven by a random input. Models of random processes and existing ... -
Efficient algorithms for budget-constrained Markov decision processes
(2014);Discounted, discrete-time, discrete state-space, discrete action-space Markov decision rocesses (MDPs) form a classical topic in control, game theory, and learning, and as a result are widely applied, increasingly, in ... -
Hierarchical task network prototyping in Unity3D
(Monterey, California: Naval Postgraduate School, 2016-06);The Combined Arms Analysis Tool for the 21st Century, or COMBATXXI, is the primary analytical combat simulation model in use by the Marine Corps' Operations Analysis Division (OAD) and the Army's Training and Doctrine ...
