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AMC
2006
145views more  AMC 2006»
13 years 4 months ago
Computing the moments of high dimensional solutions of the master equation
Derived from the Markov character only, the master equation of chemical reactions is an accurate stochastic description of quite general systems in chemistry. Exact solutions of t...
Stefan Engblom
JSCIC
2008
107views more  JSCIC 2008»
13 years 4 months ago
A Hierarchy of Approximations of the Master Equation Scaled by a Size Parameter
Solutions of the master equation are approximated using a hierarchy of models based on the solution of ordinary differential equations: the macroscopic equations, the linear noise...
Lars Ferm, Per Lötstedt, Andreas Hellander
ICCSA
2003
Springer
13 years 9 months ago
Coarse-Grained Parallel Matrix-Free Solution of a Three-Dimensional Elliptic Prototype Problem
The finite difference discretization of the Poisson equation in three dimensions results in a large, sparse, and highly structured system of linear equations. This prototype prob...
Kevin P. Allen, Matthias K. Gobbert
DCG
2006
110views more  DCG 2006»
13 years 4 months ago
High-Dimensional Centrally Symmetric Polytopes with Neighborliness Proportional to Dimension
Let A be a d by n matrix, d < n. Let C be the regular cross polytope (octahedron) in Rn . It has recently been shown that properties of the centrosymmetric polytope P = AC are ...
David L. Donoho
SCL
2011
12 years 7 months ago
Regularity issues for the null-controllability of the linear 1-d heat equation
The fact that the heat equation is controllable to zero in any bounded domain of the euclidean space, any time T > 0 and from any open subset of the boundary is well known. On ...
Sorin Micu, Enrique Zuazua