Multiscale Modeling and Simulation http://scitation.aip.org/ Multiscale Modeling and Simulation A Simple Linear Response Closure Approximation for Slow Dynamics of a Multiscale System with Linear Coupling http://link.aip.org/link/?MMS/10/28/1&agg=rss Rafail V. Abramov<br/> Many applications of contemporary science involve multiscale dynamics, which are typically characterized by the time and space scale separation of patterns of motion, with fewer slowly evolving variables and a much larger set of faster evolving variables. This time-space scale separation causes dir ... [Multiscale Model. Simul. 10, 28 (2012)] published Thu Feb 2, 2012. Importance Sampling for Multiscale Diffusions http://link.aip.org/link/?MMS/10/1/1&agg=rss Paul Dupuis, Konstantinos Spiliopoulos, and Hui Wang<br/> We construct importance sampling schemes for stochastic differential equations with small noise and fast oscillating coefficients. Standard Monte Carlo methods perform poorly for these problems in the small noise limit. With multiscale processes there are additional complications, and indeed the st ... [Multiscale Model. Simul. 10, 1 (2012)] published Tue Jan 24, 2012. Multiscale NeighborhoodWise Decision Fusion for Redundancy Detection in Image Pairs http://link.aip.org/link/?MMS/9/1829/1&agg=rss Charles Kervrann, Jerome Boulanger, Thierry Pecot, Patrick Perez, and Jean Salamero<br/> To develop better image change detection algorithms, new models able to capture spatio-temporal regularities and geometries present in an image pair are needed. In this paper, we propose a multiscale formulation for modeling semilocal interimage interactions and detecting local or regional changes ... [Multiscale Model. Simul. 9, 1829 (2011)] published Thu Dec 22, 2011. On Donoho's Log-Exp Subdivision Scheme: Choice of Retraction and Time-Symmetry http://link.aip.org/link/?MMS/9/1801/1&agg=rss Esfandiar Nava-Yazdani and Thomas P. Y. Yu<br/> In recent years a number of different approaches for adapting linear subdivision schemes to manifold-valued data were proposed. In this article, we study the following family: [dformula (Sx)[sub 2i + sigma] = f[sub x[sub i]]([summation][sub [script-l]]a[sub 2[script-l] + sigma]g[sub x[sub i]](x[sub ... [Multiscale Model. Simul. 9, 1801 (2011)] published Thu Dec 22, 2011. Capillary Displacement in Totally Wetting And Infinitely Long Right Prisms http://link.aip.org/link/?MMS/9/1765/1&agg=rss Roland Glantz and Markus Hilpert<br/> We study capillary displacement in infinitely long right prisms filled with one wetting fluid and one nonwetting fluid, while restricting ourselves to zero gravity and totally wetting prism walls. At equilibrium, the intersection of the fluid-fluid interface with the cross section of the prism is c ... [Multiscale Model. Simul. 9, 1765 (2011)] published Tue Dec 20, 2011. Particle Systems and Kinetic Equations Modeling Interacting Agents in High Dimension http://link.aip.org/link/?MMS/9/1727/1&agg=rss M. Fornasier, J. Haskovec, and J. Vybiral<br/> In this paper we explore how concepts of high-dimensional data compression via random projections onto lower-dimensional spaces can be applied for tractable simulation of certain dynamical systems modeling complex interactions. In such systems, one has to deal with a large number of agents (typical ... [Multiscale Model. Simul. 9, 1727 (2011)] published Tue Dec 13, 2011. On Analysis of Nonstationary Categorical Data Time Series: Dynamical Dimension Reduction, Model Selection, and Applications To Computational Sociology http://link.aip.org/link/?MMS/9/1700/1&agg=rss Illia Horenko<br/> Many real-life processes can be described as simplified categorical (or discrete) data models, switching between a finite number of states or regimes. Two main computational problems can be considered in the context of their analysis: (a) dimension reduction (i.e., identification of the essential ( ... [Multiscale Model. Simul. 9, 1700 (2011)] published Tue Dec 13, 2011. Weak Approximation Properties of Elliptic Projections with Functional Constraints http://link.aip.org/link/?MMS/9/1677/1&agg=rss Robert Scheichl, Panayot S. Vassilevski, and Ludmil T. Zikatanov<br/> This paper is on the construction of energy-minimizing coarse spaces that obey certain functional constraints and can thus be used, for example, to build robust coarse spaces for elliptic problems with large variations in the coefficients. In practice they are built by patching together solutions t ... [Multiscale Model. Simul. 9, 1677 (2011)] published Tue Dec 6, 2011. On Reduced Models for the Chemical Master Equation http://link.aip.org/link/?MMS/9/1646/1&agg=rss Tobias Jahnke<br/> The chemical master equation plays a fundamental role for the understanding of gene regulatory networks and other discrete stochastic reaction systems. Solving this equation numerically, however, is usually extremely expensive or even impossible due to the huge size of the state space. Thus, the ch ... [Multiscale Model. Simul. 9, 1646 (2011)] published Tue Dec 6, 2011. Diffusion of Polarized Light http://link.aip.org/link/?MMS/9/1624/1&agg=rss Arnold D. Kim and Miguel Moscoso<br/> We study partially polarized light propagation in random media governed by the theory of radiative transport. In particular, we derive a diffusion approximation when scattering is strong and absorption is weak. This diffusion approximation is substantially easier to solve than the vector radiative ... [Multiscale Model. Simul. 9, 1624 (2011)] published Tue Dec 6, 2011.