An application of distributed approximating functional-wavelets to reactive scattering

Journal of Chemical Physics

Volumn 108, Issue 17, 1998, Pages 7065-7069

  Wei, G W ^a   Althorpe, S C ^a   Kouri, D J ^a   Hoffman, D K ^b  

^a University of Houston   (United States)

^b IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; CHEMICAL REACTIONS; FAST FOURIER TRANSFORMS; FUNCTIONS; HYDROGEN; PROBABILITY; SCATTERING;

DIRICHLET-GABOR WAVELET; DISCRETE GRID REPRESENTATION; DISCRETE VARIABLE REPRESENTATION; DISTRIBUTED APPROXIMATING FUNCTIONAL WAVELET; STATE TO STATE REACTION; TOEPLITZ STRUCTURE;

WAVELET TRANSFORMS;

EID: 0032073830     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.476125     Document Type: Article

References (29)

1. J. V. Lill, G. A. Parker, and J. C. Light, Chem. Phys. Lett. 89, 483 (1982); J. C. Light, J. P. Hamilton, and J. V. Lill, ibid. 82, 1400 (1985).
2. J. V. Lill, G. A. Parker, and J. C. Light, Chem. Phys. Lett. 89, 483 (1982); J. C. Light, J. P. Hamilton, and J. V. Lill, ibid. 82, 1400 (1985).
3. G. Beylkin and J. M. Keiser, J. Comput. Phys. 132, 233 (1997).
4. J. Fröhlich and K. Schneider, J. Comput. Phys. 130, 174 (1997).
5. W. K. Liu and Y. Chen. Int. J. Numer. Methods Fluids 21, 901 (1995).
6. B Jawerth and W. Swelden, SIAM (Soc. Ind. Appl. Math.) Rev. 36, 377 (1994).
7. W. Dahmen and A. Kunoth, Numer. Math. 63, 315 (1992).
8. R. L. Schult and H. W. Wyld, Phys. Rev. A 46, 12 (1992).
9. G. W. Wei, D. S. Zhang. D. J. Kouri, and D. K. Hoffman, Phys. Rev. Lett. 79, 775 (1997).
10. D. K. Hoffman, N. Nayar, O. A. Sharafeddin, and D. J. Kouri, J. Phys. Chem. 95, 8299 (1991).
11. C. K. Chui. An Introduction to Wavelets (Academic, San Diego, 1992).
12. D. Casasent and R. Shenoy, in Wavelet Applications II, SPIE Proceedings, edited by H. H. Szu (IEEE Signal Processing Society, Orlando, 1995); in Wavelet Application III. SPIE Proceedings, edited by H. H. Szu (IEEE Signal Processing Society. Orlando, 1996).
13. D. Casasent and R. Shenoy, in Wavelet Applications II, SPIE Proceedings, edited by H. H. Szu (IEEE Signal Processing Society, Orlando, 1995); in Wavelet Application III. SPIE Proceedings, edited by H. H. Szu (IEEE Signal Processing Society. Orlando, 1996).
14. F. Bergeaud and S. Millat, in Wavelet Applications II, SPIE Proceedings, edited by H. H. Szu (IEEE Signal Processing Society, Orlando, 1995).
15. K. Gerald, A Friendly Guide to Wavelets (Birkhäuser. Boston. 1994).
16. H. Stark, J. Opt. Soc. Am. 69, 1519 (1979).
17. G. W. Wei, S. C. Althorpe, D. J. Kouri, and D. K. Hoffman, Phys. Rev. A (to be published).
18. D. K. Hoffman, G. W. Wei, and D. J. Kouri, Chem. Phys. Lett. (to be publisbed).
19. G. W. Wei, D. S. Zhang, D. J. Kouri, and D. K. Hoffman, Phys. Rev. Lett. 79, 775 (1997).
20. D. T. Colbert and W. H. Miller, J. Chem. Phys. 96, 1982 (1991).
21. C. E. Shannon, A mathematical theory of communication. Bell Syst. Tech. J. 27, 379 (1948).
22. S. C. Althorpe, D. J. Kouri, D. K. Hoffman, and J. Z. H. Zhang, J. Chem. Soc., Faraday Trans. 93, 703 (1997).
23. S. C. Althorpe, D. J. Kouri, and D. K. Hoffman, J. Chem. Phys. 106, 7629 (1997).
24. S. C. Althorpe, D. J. Kouri, and D. K. Hoffman, Chem. Phys. Lett. 275, 173 (1997).
25. S. C. Althorpe, D. J. Kouri, and D. K. Hoffman, J. Chem. Phys. 107, 7816 (1997).
26. T. Peng and J. Z. H. Zhang, J. Chem. Phys. 105, 6072 (1996); W. Zhu. T. Peng, and J. Z. H. Zhang, J. Chem. Phys. 106, 1742 (1997).
27. T. Peng and J. Z. H. Zhang, J. Chem. Phys. 105, 6072 (1996); W. Zhu. T. Peng, and J. Z. H. Zhang, J. Chem. Phys. 106, 1742 (1997).
28. H. J. Nussbaumer, Fast Fourier Transform and Convolution Algorithms (Springer-Verlag, New York, 1982).
29. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling. Numerical Recipes (Cambridge University Press, Cambridge, England, 1986).