## Proceedings of the International School of Physics "Enrico Fermi", Volume 94 |

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Page 60

Numerical

Even if the number of system components is small ( five , six ) , dimensions of

transition rate matrices of concern require the use of numerical methods . Among

...

Numerical

**integration**of stiff equations ; stiffness of Markov differential problem .Even if the number of system components is small ( five , six ) , dimensions of

transition rate matrices of concern require the use of numerical methods . Among

...

Page 61

Suppose you must numerically

' = - 2y , y ( 0 ) = yo , a > 0 . Denote by Un the numerical approximation to y ( nh ) ,

where h is the

Suppose you must numerically

**integrate**the simple differential equation ( 3 . 1 ) y' = - 2y , y ( 0 ) = yo , a > 0 . Denote by Un the numerical approximation to y ( nh ) ,

where h is the

**integration**step size . i ) The simplest iteration formula for U , is ...Page 63

... reasonable limits , no alternative exists to the highly stable implicit methods

which allow the

weaker . 4 . – A candidate method for numerical

... reasonable limits , no alternative exists to the highly stable implicit methods

which allow the

**integration**step size to be increased as local error constraints getweaker . 4 . – A candidate method for numerical

**integration**of Markov equations .### What people are saying - Write a review

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### Contents

STATISTICAL THEORY OF RELIABLITY | 8 |

Definitions and characterizations | 12 |

J KEILSON Stochastic models in reliability theory | 23 |

Copyright | |

37 other sections not shown

### Common terms and phrases

analysis application approach associated assume assumption BARLOW Bayesian calculation called complex components consider constant continuous correctness Course defined density depends derived described detected determine discussed distribution edited epochs equations equivalence ergodic errors estimate example exists expected exponential fact fail failure rate fault function given Hence important increasing independent input integration interest interval known likelihood limit Markov matrix mean measure method modules normal Note observed obtain occur operational parameters performance phase positive possible posterior predictive prior probability problem procedure prove random variables renewal repair requirements rule sample selected sequence simple software reliability space specification statistical stochastic structure Suppose task theorem theory tion transition tree University values York