Accession Number:

ADA295375

Title:

Rarefied Gas Dynamics and Monte Carlo Methods.

Descriptive Note:

Final rept. 15 Dec 93-14 Dec 94,

Corporate Author:

CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s):

• Caflisch, Russel E.

Report Date:

1995-05-19

Pagination or Media Count:

3.0

Abstract:

The research supported by this grant was primarily on quasi-random sequences, which are a deterministic alternative to random or pseudo-random sequences, and their use in Monte Carlo methods, These methods are vastly superior to standard Monte Carlo, at least in principle, because the errors are of size ON-1 rather than the usual ON-1.On the other hand, this gain in accuracy can be lost if the domain of integration is of high dimension or the function to be integrated is not smooth. In joint work with Bradley Moskowitz, we succeeded in overcoming these limitations for a number of Monte Carlo methods, including the acceptance-rejection method, Feynman-Kac integrals and diffusion Monte Carlo.

Descriptors:

• *MONTE CARLO METHOD
• *RAREFIED GAS DYNAMICS
• ACCEPTANCE TESTS
• SIZES(DIMENSIONS)
• ACCURACY
• SEQUENCES
• INTEGRATION
• DIFFUSION
• REJECTION
• PSEUDO RANDOM SYSTEMS

Subject Categories:

• Statistics and Probability
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE