Overview
- Accessible presentation on cutting edge techniques
- World leaders on their respective topics
- Ample and exhaustive references
- Didactic exposition on arguments not represented in textbooks
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2082)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Current Challenges in Stability Issues for Numerical Differential Equations
Book Subtitle: Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi
Authors: Wolf-Jürgen Beyn, Luca Dieci, Nicola Guglielmi, Ernst Hairer, Jesús María Sanz-Serna, Marino Zennaro
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-01300-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Softcover ISBN: 978-3-319-01299-5Published: 18 December 2013
eBook ISBN: 978-3-319-01300-8Published: 12 December 2013
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: IX, 313
Number of Illustrations: 16 b/w illustrations, 105 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Applications of Mathematics, Ordinary Differential Equations, Partial Differential Equations, Algorithms, Linear and Multilinear Algebras, Matrix Theory