Beyn / Dieci / Guglielmi Current Challenges in Stability Issues for Numerical Differential Equations

Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi
Erscheinungsjahr 2013
ISBN: 978-3-319-01300-8
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 2082, 313 Seiten, eBook

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Beyn, Wolf-Jürgen

Dieci, Luca

Guglielmi, Nicola

Hairer, Ernst

Sanz-Serna, Jesús María

Zennaro, Marino

Inhaltsverzeichnis

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.