Prediction of statistical error and optimization of biased Monte Carlo transport calculations. [Integral equations]

Journal Article · Fri Jun 01 04:00:00 EDT 1979 · Nucl. Sci. Eng.; (United States)

OSTI ID:5922671

Sarkar, P K ^[1]; Prasad, M A

---

1. Bhabha Atomic Research Centre, Bombay, India

Integral equations are derived to provide the expected statistical error in any biased Monte Carlo transport calculation. The equations result from a generalization of a recent formulation by Amster and Djomehri. The present treatment is general enough to handle situations where more than one particle emerge from a collision with distribution in the statistical weights. These formulations have been used to obtain the variance and the number of collisions per history in a few Monte Carlo schemes using exponential transform. The schemes considered include procedures such as splitting, weighting in lieu of absorption, and next-event estimation. Optimization of different procedures as well as their comparative merits are discussed for a sample one-group problem. 8 references.

• OSTI ID: 5922671
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 70:3; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

654001* -- Radiation & Shielding Physics-- Radiation Physics
Shielding Calculations & Experiments
654003 -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DATA
DATA FORMS
EQUATIONS
ERRORS
INFORMATION
INTEGRAL EQUATIONS
ISOLATED VALUES
MATHEMATICS
MONTE CARLO METHOD
NUMERICAL DATA
RADIATION TRANSPORT
STATISTICS
TABLES
THEORETICAL DATA
TRANSPORT THEORY