Record Nr.

UNISALENTO991003325249707536

Autore

C.I.M.E. Summer School <2011 ; Cetraro, Italy>

Titolo

Current challenges in stability issues for numerical differential equations : Cetraro, Italy 2011 / [with contributions by] Wolf-Jürgen Beyn ... [et al.] ; editors: Luca Dieci, Nicola Guglielmi

ISBN

3319012991 (pbk.)

9783319012995 (pbk.)

Descrizione fisica

viii, 313 p. : ill. (some color) ; 24 cm

Collana

Lecture notes in mathematics, 0075-8434 ; 2082

Classificazione

AMS 65-06

LC QA3.L28

Altri autori (Persone)

Beyn, Wolf-Jürgenauthor

Dieci, Luca

Guglielmi, Nicola

Disciplina

518.63

Soggetti

Differential equations

Markov processes

Decomposition (Mathematics)

Hamiltonian systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"This volume is the outgrowth of lectures presented during the CIME-EMS Summer School on Applied Mathematics ... held in Cetraro (Italy) in June 2011". Page v

Nota di bibliografia

Includes bibliographical references (pages 311-313)

Nota di contenuto

Studies on current challenges in stability issues for numerical differential equations / Luca Dieci, Nicola Guglielmi. Long-term stability of symmetric partitioned linear multistep methods / Paola Console and Ernst Hairer. Markov chain Monte Carlo and numerical differential equations / J.M. Sanz-Serna. Stability and computation of dynamic patterns in PDEs / Wolf-Jürgen Beyn, Denny Otten, and Jens Rottmann-Matthes. Continuous decompositions and coalescing eigenvalues for matrices depending on parameters / Luca Dieci ... [and 3 more]. Stability of linear problems: joint spectral radius of sets of matrices / Nicola Guglielmi and Marino Zennaro

Sommario/riassunto

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