Micro-macro models provide a powerful tool to study the relationship between microscale mechanisms and emergent macroscopic behavior. However, detailed microscopic modeling requires tracking evolving potentially high-dimensional configuration space at high computational cost. In this work, we present novel parallel algorithm for simulating micro-macro model of gliding motility assay. We utilize...

we use a multi-resolution analysis based on a wavelet transform to upscale a 3d fractured reservoir. this paper describes a 3d, single-phase, and black-oil geological model (gm) that is used to simulate naturally-fractured reservoirs. the absolute permeability and porosity of gm is upscaled by all the possible combinations of haar, bior1.3, and db4 wavelets in three levels of coarsening. the ap...

We develop a diagrammatic technique to represent the multi-point cumulative probability density function (CPDF) of mass fluctuations in terms of the statistical properties of individual collapsed objects and relate this to other statistical descriptors such as cumulants, cumulant correlators and factorial moments. We use this approach to establish key scaling relations describing various measur...

The loop equation for the complex one-matrix model with a multi-cut structure is derived and solved in the planar limit. An iterative scheme for higher genus contributions to the free energy and the multi-loop correlators is presented for the two-cut model, where explicit results are given up to and including genus two. The double-scaling limit is analyzed and the relation to the one-cut soluti...

Multi-resolution methods applied to active contour models can speed up processes and improve results. In order to estimate those improvements, we describe and compare in this paper two models using such algorithms. First we propose a multi-resolution algorithm of an improved snake model, the balloon model. Convergence is achieved on an image pyramid and parameters are automatically modiied so t...