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SIAMSC
2008
113views more  SIAMSC 2008»
15 years 6 months ago
An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics
We develop a computational method for simulating models of gel dynamics where the gel is described by two phases, a networked polymer and a fluid solvent. The models consist of tra...
Grady B. Wright, Robert D. Guy, Aaron L. Fogelson
SIAMSC
2008
148views more  SIAMSC 2008»
15 years 6 months ago
Multilevel Adaptive Aggregation for Markov Chains, with Application to Web Ranking
A multilevel adaptive aggregation method for calculating the stationary probability vector of an irreducible stochastic matrix is described. The method is a special case of the ada...
Hans De Sterck, Thomas A. Manteuffel, Stephen F. M...
SIAMSC
2008
149views more  SIAMSC 2008»
15 years 6 months ago
Adaptive Discrete Galerkin Methods Applied to the Chemical Master Equation
In systems biology, the stochastic description of biochemical reaction kinetics is increasingly being employed to model gene regulatory networks and signalling pathways. Mathematic...
Peter Deuflhard, Wilhelm Huisinga, T. Jahnke, Mich...
SIAMSC
2008
97views more  SIAMSC 2008»
15 years 6 months ago
Long-Time Simulations on High Resolution Meshes to Model Calcium Waves in a Heart Cell
Abstract. A model for the flow of calcium in an atrial heart cell is given by a system of timedependent reaction-diffusion equations coupled by non-linear reaction terms. Calcium i...
Matthias K. Gobbert
SIAMSC
2008
131views more  SIAMSC 2008»
15 years 6 months ago
Gramian-Based Model Reduction for Data-Sparse Systems
Model order reduction (MOR) is common in simulation, control and optimization of complex dynamical systems arising in modeling of physical processes and in the spatial discretizati...
Ulrike Baur, Peter Benner
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