MMAS
2010
Springer
12 years 11 months ago
2010
Springer
In this paper, we study domain decomposition preconditioners for multiscale flows in high contrast media. Our problems are motivated by porous media applications where low conduct...
MMAS
2010
Springer
12 years 11 months ago
2010
Springer
We propose a new multiscale method to incorporate active transport of cargo particles in biological cells in stochastic, mesoscopic models of reaction-transport processes. Given a...
MMAS
2010
Springer
12 years 11 months ago
2010
Springer
A unified variational methodology is developed for classification and clustering problems, and tested in the classification of tumors from gene expression data. It is based on flu...
MMAS
2010
Springer
12 years 11 months ago
2010
Springer
In this paper, we introduce a new nonlinear evolution partial differential equation for sparse deconvolution problems. The proposed PDE has the form of continuity equation that ar...
MMAS
2010
Springer
12 years 11 months ago
2010
Springer
We present a formal procedure for structure-preserving model reduction of linear second-order and Hamiltonian control problems that appear in a variety of physical contexts, e.g., ...
MMAS
2010
Springer
12 years 11 months ago
2010
Springer
We consider the homogenization of parabolic equations with large spatiallydependent potentials modeled as Gaussian random fields. We derive the homogenized equations in the limit ...
MMAS
2010
Springer
12 years 11 months ago
2010
Springer
Usually the Stokes equations that govern a flow in a smooth thin domain (with thickness of order ) are related to the Reynolds equation for the pressure psmooth. In this paper, we...
MMAS
2010
Springer
12 years 11 months ago
2010
Springer
Mode coupling due to scattering by weak random inhomogeneities in waveguides leads to loss of coherence of wave fields at long distances of propagation. This in turn leads to serio...
MMAS
2010
Springer
12 years 11 months ago
2010
Springer
The mean first passage time (MFPT) is calculated for a Brownian particle in a bounded two-dimensional domain that contains N small nonoverlapping absorbing windows on its boundary....
MMAS
2010
Springer
12 years 11 months ago
2010
Springer
We analyze the performance of the novel Markov chain stochastic modeling technique for derivation of effective equations for a set of essential variables. This technique is an empi...