Optimal prediction of stiff oscillatory mechanics

Proceedings of the National Academy of Sciences of the United States of America

Volumn 97, Issue 12, 2000, Pages 6253-6257

  Kast, Anton P ^a  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ARTICLE; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; OSCILLATION; PREDICTION; PRIORITY JOURNAL;

EID: 0034612230     PISSN: 00278424     EISSN: None     Source Type: Journal    
DOI: 10.1073/pnas.97.12.6253     Document Type: Article

References (16)

1. Petzold, L. R., Jay, L. O. & Yen, J. (1997) Acta Numerica 6, 437-483.
2. Reich, S. (1999) J. Comp. Phys. 151, 49-73.
3. Stuart, A. M. & Warren, J. O. (1998) Analysis and Experiments for a Computational Model of a Heat Bath, Stanford University Technical Report SCCM-98-17.
4. Ford, G. W. & Kac, M. (1987) J. Stat. Phys. 46, 803-810.
5. Chorin, A. J., Kast, A. & Kupferman, R. (1998) Proc. Natl. Acad. Sci. USA 95, 4094-4098.
6. Chorin, A. J., Kast, A. & Kupferman, R. (1999) Commun. Pure Appl. Math. 52, 1231-1254.
7. Chorin, A. J., Kast, A. & Kupferman, R. (1999) in Nonlinear Partial Differential Equations: International Conference on Nonlinear Partial Differential Equations and Aplications, eds. Chen, G.-O. & DiBenedetto, E. (Am. Math. Soc., Providence, RI), pp. 53-75.
8. Hald, O. (1999) Proc. Natl. Acad. Sci. USA 96, 4774-4779.
9. Zwanzig, R. (1980) in Systems Far from Equilibrium, ed. Garrido, L. (Springer, New York), pp. 198-225.
10. Chorin, A. J., Hald, O. & Kupferman, R. (2000) Proc. Natl. Acad. Sci. USA 97, 2968-2973.
11. Cano, B., Stuart, A. M., Süli, E. & Warren, J. O. (1999) Stiff Oscillatory Systems, Delta Jumps and White Noise, Stanford University Technical Report SCCM-99-01.
12. Ford, G. W., Lewis, J. T. & O'Connell, R. F. (1988) Phys. Rev. A. 37, 4419-4428.
13. Zwanzig, R. (1961) Lectures in Theoretical Physics (Boulder) (Wiley, New York), Vol. III.
14. Mori, H. (1965) Prog. Theor. Phys. 33, 423-455.
15. Mori, H. (1965) Prog. Theor. Phys. 34, 399-416.
16. Chorin, A. J., Levy, D. & Kupferman, R. (1999) Optimal Prediction for Hamiltonian Partial Differential Equations, Lawrence Berkeley National Laboratory Technical Report LBNL-44105.