株式会社極東書店トップ商品一覧Current Challenges in Stability Issues for Numerical Differential Equations : Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi. 2014 ed..

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Current Challenges in Stability Issues for Numerical Differential Equations

Current Challenges in Stability Issues for Numerical Differential Equations : Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi. 2014 ed..

・ISBN 978-3-319-01299-5 paper EUR 44.99

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著者・編者Beyn, Wolf-Juergen / Dieci, Luca / Guglielmi, Nicola / Hairer, Ernst / Sanz-Serna, Jesus Maria / Zennaro, Marino,
シリーズLecture Notes in Mathematics
出版社(Springer International Publishing AG, SZ)
出版年月2013
ページ数313 pp.
言語ENG
ニュース番号<M25-24424>

解説

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.