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CIME-EMS Summer School on Applied Mathematics

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) c...

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Detalles Bibliográficos
Autores principales: Beyn, Wolf-Jürgen, Dieci, Luca, Guglielmi, Nicola, Hairer, Ernst, Sanz-Serna, Jesús María, Zennaro, Marino
Lenguaje:eng
Publicado: Springer 2014
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-01300-8
http://cds.cern.ch/record/1695834
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author Beyn, Wolf-Jürgen
Dieci, Luca
Guglielmi, Nicola
Hairer, Ernst
Sanz-Serna, Jesús María
Zennaro, Marino
author_facet Beyn, Wolf-Jürgen
Dieci, Luca
Guglielmi, Nicola
Hairer, Ernst
Sanz-Serna, Jesús María
Zennaro, Marino
author_sort Beyn, Wolf-Jürgen
collection CERN
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.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2014
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spelling cern-16958342021-04-25T16:40:23Zdoi:10.1007/978-3-319-01300-8http://cds.cern.ch/record/1695834engBeyn, Wolf-JürgenDieci, LucaGuglielmi, NicolaHairer, ErnstSanz-Serna, Jesús MaríaZennaro, MarinoCIME-EMS Summer School on Applied MathematicsMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:16958342014
spellingShingle Mathematical Physics and Mathematics
Beyn, Wolf-Jürgen
Dieci, Luca
Guglielmi, Nicola
Hairer, Ernst
Sanz-Serna, Jesús María
Zennaro, Marino
CIME-EMS Summer School on Applied Mathematics
title CIME-EMS Summer School on Applied Mathematics
title_full CIME-EMS Summer School on Applied Mathematics
title_fullStr CIME-EMS Summer School on Applied Mathematics
title_full_unstemmed CIME-EMS Summer School on Applied Mathematics
title_short CIME-EMS Summer School on Applied Mathematics
title_sort cime-ems summer school on applied mathematics
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-01300-8
http://cds.cern.ch/record/1695834
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