EAN: 9783319012995

CURRENT CHALLENGES IN STABILITY ISSUES FOR NUME...

This volume addresses some of the research areas in the general field of stability studies for
differential equations  with emphasis on issues of concern for numerical studies. Topics
considered include: (i) the long time integration of Hamiltonian Ordinary DEs and highly
oscillatory systems  (ii) connection between stochastic DEs and geometric integration using the
Markov chain Monte Carlo method  (iii) computation of dynamic patterns in evolutionary partial
DEs  (iv) decomposition of matrices depending on parameters and localization of singularities 
and (v) uniform stability analysis for time dependent linear initial value problems of ODEs.
The problems considered in this volume are of interest to people working on numerical as well
as qualitative aspects of differential equations  and it will serve both as a reference and as
an entry point into further research.

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