Current Challenges in Stability Issues for Numerical Differential Equations Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi için kapak resmi
Başlık:
Current Challenges in Stability Issues for Numerical Differential Equations Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi
Dil:
English
ISBN:
9783319013008
Yayın Bilgileri:
Cham : Springer International Publishing : Imprint: Springer, 2014.
Fiziksel Tanımlama:
IX, 313 p. 121 illus., 105 illus. in color. online resource.
Seri:
Lecture Notes in Mathematics, 2082
İçerik:
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.
Özet:
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.

Mevcut:*

Materyal Türü
Demirbaş Numarası
Yer Numarası
Raf Konumu
Mevcut Konumu
Materyal Istek
E-Kitap 1822353-1001 QA71 -90 SPRINGER E-Kitap Koleksiyonu
Arıyor...

On Order

Özet

Özet

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.