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Current challenges in stability issu...

Zennaro, Marino.

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Current challenges in stability issues for numerical differential equations : = Cetraro, Italy 2011 /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Current challenges in stability issues for numerical differential equations :/ Wolf-Jürgen Beyn, Luca Dieci, Nicola Guglielmi, Ernst Hairer, Jesús María Sanz-Serna, Marino Zennaro ; editors: Luca Dieci, Nicola Guglielmi.
Reminder of title:	Cetraro, Italy 2011 /
other author:	Zennaro, Marino.
Published:	Cham [Switzerland] :Springer, : 2014.,
Description:	viii, 313 p. :ill. (some color) ;24 cm.
Notes:	"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.
Subject:	Differential equations. -
ISBN:	9783319012995 (pbk.) :
ISSN:	00758434

Current challenges in stability issues for numerical differential equations : = Cetraro, Italy 2011 /
Current challenges in stability issues for numerical differential equations :Cetraro, Italy 2011 /Wolf-Jürgen Beyn, Luca Dieci, Nicola Guglielmi, Ernst Hairer, Jesús María Sanz-Serna, Marino Zennaro ; editors: Luca Dieci, Nicola Guglielmi. - Cham [Switzerland] :Springer,2014. - viii, 313 p. :ill. (some color) ;24 cm. - Lecture notes in mathematics,2082.0075-8434 ;. - Lecture notes in mathematics (Springer-Verlag) ;2002..

"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.

Includes bibliographical references (p. 311-313).

Studies on current challenges in stability issues for numerical differential equations /Luca Dieci, Nicola Guglielmi --

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.

ISBN: 9783319012995 (pbk.) :EUR44.99

ISSN: 00758434Subjects--Topical Terms:

517952
Differential equations.

LC Class. No.: QA371 / .C87 2014

Dewey Class. No.: 518/.63

Current challenges in stability issues for numerical differential equations : = Cetraro, Italy 2011 /
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245 1 0 $a Current challenges in stability issues for numerical differential equations : $b Cetraro, Italy 2011 / $c Wolf-Jürgen Beyn, Luca Dieci, Nicola Guglielmi, Ernst Hairer, Jesús María Sanz-Serna, Marino Zennaro ; editors: Luca Dieci, Nicola Guglielmi.
260 # $a Cham [Switzerland] : $b Springer, $c 2014.
300 $a viii, 313 p. : $b ill. (some color) ; $c 24 cm.
490 1 0 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2082. $a CIME Foundation subseries.
500 $a "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.
504 $a Includes bibliographical references (p. 311-313).
505 0 # $t Studies on current challenges in stability issues for numerical differential equations / $r Luca Dieci, Nicola Guglielmi -- $t Long-term stability of symmetric partitioned linear multistep methods / $r Paola Console and Ernst Hairer -- $t Markov chain Monte Carlo and numerical differential equations / $r J.M. Sanz-Serna -- $t Stability and computation of dynamic patterns in PDEs / $r Wolf-Jürgen Beyn, Denny Otten, and Jens Rottmann-Matthes - $t Continuous decompositions and coalescing eigenvalues for matrices depending on parameters / $r Luca Dieci, Alessandra Papini, Alessandro Pugliese, and Alessandro Spadoni -- $t Stability of linear problems : joint spectral radius of sets of matrices / $r Nicola Guglielmi and Marino Zennaro.
520 # $a 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.
650 # 0 $a Differential equations. $3 517952
650 # 0 $a Markov processes. $3 532104
650 # 0 $a Decomposition (Mathematics). $3 747462
650 # 0 $a Hamiltonian systems. $3 629810
700 1 # $a Zennaro, Marino. $3 2047526
700 1 # $a Beyn, Wolf-Jürgen. $3 2047521
700 1 # $a Dieci, Luca. $3 2047522
700 1 # $a Guglielmi, Nicola. $3 2047523
700 1 # $a Hairer, E. $q (Ernst). $3 2047524
700 1 # $a Sanz-Serna, J. M. $3 2047525
830 0 $a Lecture notes in mathematics (Springer-Verlag) ; $v 2002. $3 1235985
830 0 $a Lecture notes in mathematics (Springer-Verlag). $p CIME Foundation subseries. $3 2024480