HETEROGENEOUS MULTISCALE METHOD FOR LOCALLY SELF-SIMILAR PROBLEMS*

Communications in Mathematical Sciences

Volumn 2, Issue 1, 2004, Pages 137-144

  Weinan, E ^a   Yue, Xing Y ^b  

^a PRINCETON UNIVERSITY   (United States)

^b SUZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13644264576     PISSN: 15396746     EISSN: 19450796     Source Type: Journal    
DOI: 10.4310/CMS.2004.v2.n1.a8     Document Type: Article

References (9)

1. [1] A.J. Chorin, Conditional expectations and renormalization, Multi. Model. Simul., 1:105—118,2003.
2. [2] A.J. Chorin, Vorticity and Turbulence, Springer, 1998.
3. [3] Weinan E and B. Engquist, The heterogeneous multi-scale methods, Comm. Math. Sci.,1(1):87-132, 2003.
4. [4] Weinan E and B. Engquist, Multiscale modeling and computation, Notice of AMS, 50(9):1062-1070, 2003.
5. [5] Weinan E, X. Li, and E. Vanden-Eijnden, Some Recent Progress in Multiscale Modeling,preprint, 2003.
6. [6] U. Frisch, Turbulence: The Legacy of A.N. Kolmogorov, Cambridge Univ Press, Cambridge,1995.
7. [7] B.D. Hughes, Random Walks and Random Environments, 2, Oxford University Publications,1996.
8. [8] G. Lu and E. Kaxiras, An overview of multiscale simulation of materials, preprint, 2003.
9. [9] M. Sahimi, Flow and Transport in Porous Media and Fractured Rock, VCH, 1995.