Current Challenges in Stability Issues for Numerical Differential Equations: Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi

Current Challenges in Stability Issues for Numerical Differential Equations: Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi

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Overview

Current Challenges in Stability Issues for Numerical Differential Equations: Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi by Wolf-Jürgen Beyn, Luca Dieci, Nicola Guglielmi, Ernst Hairer

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.

Product Details

ISBN-13: 9783319012995
Publisher: Springer International Publishing
Publication date: 12/07/2013
Series: Lecture Notes in Mathematics , #2082
Edition description: 2014
Pages: 313
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

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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