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Titlebook: Current Challenges in Stability Issues for Numerical Differential Equations; Cetraro, Italy 2011, Wolf-Jürgen Beyn,Luca Dieci,Marino Zennar

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书目名称Current Challenges in Stability Issues for Numerical Differential Equations
副标题Cetraro, Italy 2011,
编辑Wolf-Jürgen Beyn,Luca Dieci,Marino Zennaro
视频video
概述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 suppl
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Current Challenges in Stability Issues for Numerical Differential Equations; Cetraro, Italy 2011, Wolf-Jürgen Beyn,Luca Dieci,Marino Zennar
描述.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..
出版日期Book 2014
关键词Geometric Integration; Numerical Analysis; Parameter Dependent Matrices; Pattern Formation; Stability; or
版次1
doihttps://doi.org/10.1007/978-3-319-01300-8
isbn_softcover978-3-319-01299-5
isbn_ebook978-3-319-01300-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2014
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Current Challenges in Stability Issues for Numerical Differential EquationsCetraro, Italy 2011,
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Host Responses to Gut Microbes,or of linearized operators. The numerical part focusses on the freezing method which uses equivariance to transform the given PDE into a partial differential algebraic equation (PDAE). Solving these PDAEs generates moving coordinate systems in which the above-mentioned patterns become stationary.
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Host Responses to Gut Microbes,Eirola (Helsinki University of Technology, Finland), Jann-Long Chern (National Central University, Taiwan), Mark Friedman (University of Alabama, Huntsville) and Maria Grazia Gasparo (University of Florence, Italy).
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978-3-319-01299-5Springer International Publishing Switzerland 2014
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