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.