Noise in algorithm refinement methods

Computing in Science and Engineering

Volumn 7, Issue 3, 2005, Pages 32-38

  Alexander, Francis J ^a   Tartakovsky, Daniel M ^a   Garcia, Alejandro L ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b SAN JOSE STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM REFINEMENT (AR) METHOD; DIRECT SIMULATION MONTE CARLO (DSMC) CALCULATION; LINEAR DIFFUSION ANALYSIS; PARTICLE SIMULATIONS;

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; DIFFUSION; HYDRODYNAMICS; LINEAR SYSTEMS; MONTE CARLO METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PROBABILITY; RANDOM PROCESSES; SET THEORY;

ALGORITHMS;

EID: 19944407556     PISSN: 15219615     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCSE.2005.56     Document Type: Article

References (10)

1. A.L. Garcia et al., "Numerical Integration of the Fluctuating Hydrodynamic Equations," J. Statistical Physics, vol. 47, nos. 1 and 2, 1987, pp. 209-228.
2. A.L. Garcia et al., "Adaptive Mesh and Algorithm Refinement using Direct Simulation Monte Carlo," J. Computational Physics, vol. 154, no. 1, 1999, pp. 134-155.
3. F. Alexander, A. Garcia, and D.M. Tartakovsky, "Algorithm Refinement for Stochastic Partial Differential Equations: I. Linear Diffusion," J. Computational Physics, vol. 182, 2002, pp. 47-66.
4. J.M. Haile, Molecular Dynamics Simulation, John Wiley & Sons, 1992.
5. H. Spohn, "Long Range Correlations for Stochastic Lattice Gases in a Nonequilibrium Steady State," J. Physics A, vol. 16, 1983, pp. 4275-4291.
6. A. Garcia, "Long Range Thermal Correlations in a Knudsen Flow System," Physics Letten, vol. 119, no. 8, 1987, pp. 379-382.
7. R. Schmilz, "Fluctuations in Nonequilibrium Fluids," Physics Reports, vol. 171, no. 1, 1988.
8. A. Garcia et al., "Hydrodynamic Fluctuations in a Fluid under Constant Shear," Physics Rev. A, vol. 36, no. 9, 1987, pp. 4348-4355.
9. J.M. Ortiz de Zarate and J.V. Sengers, "On the Physical Origin of Long-Ranged Fluctuations in Fluids in Thermal Nonequilibrium States," J. Statistical Physics, vol. 115, 2004, pp. 1341-1359.
10. F. Baras, M. Malek Mansour, and A. Garcia, "A Simple Model for Nonequilibrium Fluctuations in a Fluid," Am. J. Physics, vol. 64, 1996, pp. 1488-1495.