Iterative solution methods for obtaining the steady-state probability distributions of Markovian multi-echelon repairable item inventory systems

1993 ◽  
Vol 20 (8) ◽  
pp. 817-828 ◽  
Author(s):  
Donald Gross ◽  
Bingchang Gu ◽  
Richard M. Soland
Keyword(s):  
Steady State ◽  
Probability Distributions ◽  
Iterative Solution ◽  
Inventory Systems ◽  
State Probability ◽  
Steady State Probability ◽  
Solution Methods ◽  
Iterative Solution Methods

scholarly journals Computation of Steady-State Probability Distributions in Stochastic Models of Cellular Networks

2011 ◽  
Vol 7 (10) ◽  
pp. e1002209 ◽  
Author(s):  
Mark Hallen ◽  
Bochong Li ◽  
Yu Tanouchi ◽  
Cheemeng Tan ◽  
Mike West ◽  
...  
Keyword(s):  
Steady State ◽  
Cellular Networks ◽  
Stochastic Models ◽  
Probability Distributions ◽  
State Probability ◽  
Steady State Probability

scholarly journals Efficient Preconditioners for Large Scale Binary Cahn-Hilliard Models

2012 ◽  
Vol 12 (1) ◽  
pp. 1-22 ◽  
Author(s):  
Petia Boyanova ◽  
Minh Do-Quang ◽  
Maya Neytcheva
Keyword(s):  
Large Scale ◽  
Iterative Solution ◽  
Flow Problems ◽  
Hilliard Equation ◽  
Finite Element Discretizations ◽  
Solution Methods ◽  
Iterative Solution Methods ◽  
Preconditioned Iterative ◽  
Cahn Hilliard Equation ◽  
Element Discretizations

AbstractIn this work we consider preconditioned iterative solution methods for numerical simulations of multiphase flow problems, modelled by the Cahn-Hilliard equation. We focus on diphasic flows and the construction and efficiency of a preconditioner for the algebraic systems arising from finite element discretizations in space and the θ-method in time. The preconditioner utilises to a full extent the algebraic structure of the underlying matrices and exhibits optimal convergence and computational complexity properties. Various numerical experiments, including large scale examples, are presented as well as performance comparisons with other solution methods.

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