Dynamic compound wavelet matrix method for multiphysics and multiscale problems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 2, 2008, Pages

  Muralidharan, Krishna ^a   Mishra, Sudib K ^a   Frantziskonis, G ^a   Deymier, P A ^a   Nukala, Phani ^b   Simunovic, Srdjan ^b   Pannala, Sreekanth ^b  

^a University of Arizona   (United States)

^b OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL EFFICIENCY; COMPUTER SIMULATION; HIGH ENERGY PHYSICS; PROBLEM SOLVING;

COMPOUND WAVELET MATRIX METHOD (CWM);

WAVELET ANALYSIS;

EID: 40849137738     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.026714     Document Type: Article

References (21)

1. X. E. B. Enquist, Commun. Math. Sci. ZZZZZZ 1539-6746 1, 87 (2002).
2. V. Shenoy, R. Miller, E. B. Tadmor, D. Rodney, R. Phillips, and M. Ortiz, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/S0022-5096(98)00051-9 47, 611 (1999).
3. I. G. Kevrekidis, Commun. Math. Sci. ZZZZZZ 1539-6746 14, 715 (2003).
4. R. E. Rudd and J. Q. Broughton, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.R5893 58, R5893 (1998).
5. F. Abraham, J. Broughton, N. Bernstein, and E. Kaxiras, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1998-00536-9 44, 783 (1998).
6. G. Frantziskonis and P. A. Deymier, Modell. Simul. Mater. Sci. Eng. MSMEEU 0965-0393 10.1088/0965-0393/8/5/301 8, 649 (2000).
7. G. Frantziskonis, Probab. Eng. Mech. PEMEEX 0266-8920 10.1016/S0266-8920(02)00033-4 17, 359 (2002).
8. G. Frantziskonis and P. Deymier, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.024105 68, 024105 (2003).
9. G. Frantziskonis, S. K. Mishra, S. Pannala, S. Simunovic, C. S. Daw, P. Nukala, R. O. Fox, and P. A. Deymier, Int. J. Multiscale Comp. Eng. ZZZZZZ 1543-1649 4, 755 (2006).
10. L. Baffico, S. Bernard, Y. Maday, G. Turinici, and G. Zerah, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.057701 66, 057701 (2002).
11. A. Arneodo, G. Grasseau, and M. Holschneider, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2281 61, 2281 (1988).
12. L. Telesca, V. Lapenna, and N. Alexis, Chaos, Solitons Fractals CSFOEH 0960-0779 10.1016/j.chaos.2004.02.021 22, 741 (2004).
13. S. N. Zhao, X. Y. Xiong, X. H. Cai, and F. Hu, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10300-9 69, 81 (2005).
14. D. F Martin, P. Colella, M. Anghel, and F. J. Alexander, Comput. Sci. Eng. CSENFA 1521-9615 10.1109/MCSE.2005.100 7, 24 (2005).
15. T. Yanai, G. I. Fann, Z. Gan, R. J. Harrison, and G. Beylkin, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1768161 121, 2866 (2004).
16. C. K. Chui, An Introduction to Wavelets, (Academic Press, London, 1992).
17. I. Daubechies, Commun. Pure Appl. Math. CPMAMV 0010-3640 10.1002/cpa.3160410705 41, 909 (1988).
18. I. Daubechies, Ten Lectures on Wavelets (CIAM, Philadelphia, PA, 1992).
19. S. G. Mallat, IEEE Trans. Pattern Anal. Mach. Intell. ITPIDJ 0162-8828 10.1109/34.192463 11, 674 (1989).
20. A. Harbo-Cour and A. Jensen, Ripples in Mathematics: The Discrete Wavelet transform (Springer, New York, 2000).
21. D. T. Gillespie, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100540a008 81, 2340 (1977).