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Current Challenges in Stability Issues for Numerical Differential Equations
Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi, Lecture Notes in Mathematics 2082 - C.I.M.E. Foundation Subseries
Beyn, Wolf-Jürgen/Dieci, Luca/Guglielmi, Nicola et al
ISBN/EAN: 9783319012995
Umbreit-Nr.: 5011047
Sprache:
Englisch
Umfang: ix, 313 S., 16 s/w Illustr., 105 farbige Illustr.,
Format in cm:
Einband:
kartoniertes Buch
Erschienen am 18.12.2013
Auflage: 1/2013
- Zusatztext
- 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.
- Kurztext
- InhaltsangabeStudies 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.