scholarly journals TEMPORAL GRAPH PLACEMENT ON MESH-BASED COARSE GRAIN RECONFIGURABLE SYSTEMS USING THE SPECTRAL METHOD

2005 ◽  
pp. 301-310 ◽  
Author(s):  
Florian Dittmann ◽  
Christophe Bobda
Keyword(s):  
Spectral Method ◽  
Coarse Grain ◽  
Reconfigurable Systems ◽  
Temporal Graph

A SPECTRAL METHOD FOR AGGREGATING VARIABLES IN LINEAR DYNAMICAL SYSTEMS WITH APPLICATION TO CELLULAR AUTOMATA RENORMALIZATION

2009 ◽  
Vol 12 (02) ◽  
pp. 131-155 ◽  
Author(s):  
MARTIN NILSSON JACOBI ◽  
OLOF GÖRNERUP
Keyword(s):  
Dynamical Systems ◽  
Cellular Automata ◽  
Markov Chains ◽  
Spectral Method ◽  
Coarse Grained ◽  
Coarse Grain ◽  
Permutation Symmetry ◽  
Linear Dynamical Systems ◽  
Aggregation Of Variables ◽  
The Matrix

We present a method for identifying coarse-grained dynamics through aggregation of variables or states in linear dynamical systems. The condition for aggregation is expressed as a permutation symmetry of a set of dual eigenvectors of the matrix that defines the dynamics. The applicability of the condition is illustrated in examples from three different generic classes of reducible Markov chains: systems consisting of independent subsystems, dynamics with symmetries, and nearly decoupled Markov chains. Furthermore we show how the method can be used to coarse-grain cellular automata.

Coarse grain parallelization and acceleration of biochemical ODE simulation using GPGPU

2014 ◽  
Vol 1 ◽  
pp. 29-32
Author(s):  
Kazushige Nakamura ◽  
Kei Sumiyoshi ◽  
Noriko Hiroi ◽  
Akira Funahashi
Keyword(s):  
Coarse Grain
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