TY  - BOOK
AU  - Beyn,Wolf-Jurgen
AU  - Dieci,Luca
AU  - Guglielmi,Nicola
AU  - Hairer,Ernst
AU  - Sanz-Serna,Jesus Maria
AU  - Zennaro,Marino
AU  - Dieci,Luca
AU  - Guglielmi,Nicola
ED  - CIME-EMS Summer School on Applied Mathematics, Studies on Stability Issues for Numerical Differential Equations
TI  - Current challenges in stability issues for numerical differential equations
T2  - Lecture notes in mathematics
SN  - 9783319012995 (hard cover : alk. paper)
U1  - 518.63 23
PY  - 2014///
CY  - New York
PB  - Springer
KW  - Differential equations
KW  - congress
KW  - Markov processes.
KW  -  Decomposition (Mathematics)
N1  -  Long-Term Stability of Symmetric Partitioned Linear Multistep Methods --
 Markov Chain Monte Carlo and Numerical Differential Equations --
 Stability and Computation of Dynamic Patterns in PDEs --
 Continuous Decompositions and Coalescing Eigen values for Matrices Depending on Parameters --
 Stability of linear problems: joint spectral radius of sets of matrices
N2  - 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
ER  -