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» Hybrid Numerical Solution of the Chemical Master Equation
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SIAMAM
2008
93views more  SIAMAM 2008»
13 years 4 months ago
Partially Reflected Diffusion
The radiation (reactive or Robin) boundary condition for the diffusion equation is widely used in chemical and biological applications to express reactive boundaries. The underlyin...
A. Singer, Z. Schuss, A. Osipov, D. Holcman
HYBRID
2007
Springer
13 years 9 months ago
Viability-Based Computations of Solutions to the Hamilton-Jacobi-Bellman Equation
Abstract. This article proposes a new capture basin algorithm for computing the numerical solution of a class of Hamilton-Jacobi-Bellman (HJB) partial differential equations (PDEs)...
Alexandre M. Bayen, Christian G. Claudel, Patrick ...
HYBRID
2005
Springer
13 years 10 months ago
A Toolbox of Hamilton-Jacobi Solvers for Analysis of Nondeterministic Continuous and Hybrid Systems
Abstract. Hamilton-Jacobi partial differential equations have many applications in the analysis of nondeterministic continuous and hybrid systems. Unfortunately, analytic solution...
Ian M. Mitchell, Jeremy A. Templeton
HYBRID
2009
Springer
14 years 1 days ago
Optimal Boundary Control of Convention-Reaction Transport Systems with Binary Control Functions
We investigate a new approach for solving boundary control problems for dynamical systems that are governed by transport equations, when the control function is restricted to binar...
Falk M. Hante, Günter Leugering
CCE
2004
13 years 5 months ago
Modeling and solving real-time scheduling problems by stochastic integer programming
This contribution deals with scheduling problems of flexible chemical batch processes with a special emphasis on their real-time character. This implies not only the need for suff...
Guido Sand, Sebastian Engell