Parallel preconditioned conjugate gradient algorithm applied to neutron diffusion problem

Conference · Wed Jan 01 04:00:00 EST 1992 · Transactions of the American Nuclear Society; (United States)

OSTI ID:7232355

Majumdar, A; Martin, W R ^[1]

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1. Univ. of Michigan, Ann Arbor (United States)

Numerical solution of the neutron diffusion problem requires solving a linear system of equations such as Ax = b, where A is an n {times} n symmetric positive definite (SPD) matrix; x and b are vectors with n components. The preconditioned conjugate gradient (PCG) algorithm is an efficient iterative method for solving such a linear system of equations. In this paper, the authors describe the implementation of a parallel PCG algorithm on a shared memory machine (BBN TC2000) and on a distributed workstation (IBM RS6000) environment created by the parallel virtual machine parallelization software.

• OSTI ID: 7232355
• Report Number(s): CONF-920606--
• Conference Information: Journal Name: Transactions of the American Nuclear Society; (United States) Journal Volume: 65
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
ALGORITHMS
DIFFERENTIAL EQUATIONS
EFFICIENCY
EQUATIONS
IMPLEMENTATION
ITERATIVE METHODS
MATHEMATICAL LOGIC
NEUTRON DIFFUSION EQUATION
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PARALLEL PROCESSING
PHYSICS
PROGRAMMING
REACTOR PHYSICS