TY  - BOOK
AU  - Beyn,Wolf-Jürgen
AU  - Dieci,Luca
AU  - Guglielmi,Nicola
AU  - Hairer,Ernst
AU  - Sanz-Serna,Jesús María
AU  - Zennaro,Marino
ED  - SpringerLink (Online service)
TI  - Current Challenges in Stability Issues for Numerical Differential Equations: Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi 
T2  - Lecture Notes in Mathematics,
SN  - 9783319013008
AV  - QA71-90 
U1  - 518 23
PY  - 2014///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematics
KW  - Matrix theory
KW  - Differential Equations
KW  - Differential equations, partial
KW  - Computer science
KW  - Algorithms
KW  - Computational Mathematics and Numerical Analysis
KW  - Applications of Mathematics
KW  - Ordinary Differential Equations
KW  - Partial Differential Equations
KW  - Linear and Multilinear Algebras, Matrix Theory
N1  - Studies on current challenges in stability issues for numerical differential equations -- 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
UR  - http://dx.doi.org/10.1007/978-3-319-01300-8
ER  -