VOL. 5 · NO. 3 | September 2007
 
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Regular Articles
G.A. Pavliotis, A.M. Stuart, K.C> Zygalakis
Commun. Math. Sci. 5 (3), 507-531, (September 2007)
KEYWORDS: homogenization theory, multiscale analysis, martingale central limit theorem, Hypoelliptic diffusions, Gaussian velocity fields, 60H10, 60H15, 60H30, 60G15
Christophe Chalons, Paola Goatin
Commun. Math. Sci. 5 (3), 533-551, (September 2007)
KEYWORDS: hyperbolic conservation laws, continuous traffic models, contact discontinuities, transport-equilibrium scheme, 35L60, 35L65, 65M99
Tian Ma, Shouhong Wang
Commun. Math. Sci. 5 (3), 553-574, (September 2007)
KEYWORDS: Rayleigh-Bénard convection, bifurcated attractor, basin of attraction, structural stability, roll structure, 35Q, 76, 86
Lenya Ryzhik, Andrej Zlatoš
Commun. Math. Sci. 5 (3), 575-593, (September 2007)
KEYWORDS: Reaction-diffusion equations, traveling fronts, front speed-up, 35K57
Zhen Lei, Chun Liu, Yi Zhou
Commun. Math. Sci. 5 (3), 595-616, (September 2007)
KEYWORDS: viscoelasticity, partial dissipation system, incompressibility, small strain, 76D03, 76D09, 35M10
Mohammad Motamed, Olof Runborg
Commun. Math. Sci. 5 (3), 617-648, (September 2007)
KEYWORDS: ODEs on a manifold, phase space method, escape equations, high frequency wave propagation, geodesics, creeping rays, seismic waves, travel-time, 53C22, 65N06, 65Y20, 78A05, 78A40
Weinan E, Jianfeng Lu
Commun. Math. Sci. 5 (3), 649-663, (September 2007)
KEYWORDS: multiscale modeling, seamless, fiber bundle, 65J05, 35B27, 74B20, 74Q05, 76M25
U. Hetmaniuk
Commun. Math. Sci. 5 (3), 665-678, (September 2007)
KEYWORDS: Helmholtz problems, stability estimates, mixed boundary conditions, 35B35, 35J05
Weinan E, Jianfeng Lu
Commun. Math. Sci. 5 (3), 679-696, (September 2007)
KEYWORDS: continuum limit, QM-continuum approximation, density functional theory, 35Q40, 74Q05, 34E05, 74B20
Olivier Pinaud
Commun. Math. Sci. 5 (3), 697-722, (September 2007)
KEYWORDS: semiconductors, non-linear Schrödinger equation, open boundary conditions, uniform estimates, 35Q40, 35Q55
Aaditya V. Rangan
Commun. Math. Sci. 5 (3), 723-741, (September 2007)
KEYWORDS: linear two-point boundary value problems, spectral integral methods, boundary matrices, 65N99
Houde Han, Dongsheng Yin
Commun. Math. Sci. 5 (3), 743-764, (September 2007)
KEYWORDS: Klein-Gordon equation, artificial boundary, absorbing boundary condition, 35L05, 35Q40, 42C10, 65M60
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