Current challenges in stability issues for numerical differential equations : Cetraro, Italy 2011
Author(s)
Bibliographic Information
Current challenges in stability issues for numerical differential equations : Cetraro, Italy 2011
（Lecture notes in mathematics, 2082 . CIME Foundation subseries）
Springer, c2014
Available at / 42 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2082200026149065
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
Italy/2011-C/Proc.2080344918
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Note
Other authors: Luca Dieci, Nicola Guglielmi, Ernst Hairer, Jesús María Sanz-Serna, Marino Zennaro
Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
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.
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