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020   $a3319012991 (pbk.)
020   $a9783319012995 (pbk.)
035   $ab14316201-39ule_inst
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng
082 04$a518.63$223
084   $aAMS 65-06
084   $aLC QA3.L28
111 2 $aC.I.M.E. Summer School$d<2011 ;$cCetraro, Italy>$0718981
245 10$aCurrent challenges in stability issues for numerical differential equations :$bCetraro, Italy 2011 /$c[with contributions by] Wolf-Jürgen Beyn ... [et al.] ; editors: Luca Dieci, Nicola Guglielmi
264  1$aCham [Switzerland] :$bSpringer,$cc2014
300   $aviii, 313 p. :$bill. (some color) ;$c24 cm
336   $atext$btxt$2rdacontent
337   $aunmediated$bn$2rdamedia
338   $avolume$bnc$2rdacarrier
490 1 $aLecture notes in mathematics,$x0075-8434 ;$v2082
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   $aIncludes bibliographical references (pages 311-313)
505 00$tStudies on current challenges in stability issues for numerical differential equations /$rLuca Dieci, Nicola Guglielmi. Long-term stability of symmetric partitioned linear multistep methods /$rPaola Console and Ernst Hairer.$tMarkov chain Monte Carlo and numerical differential equations /$rJ.M. Sanz-Serna.$tStability and computation of dynamic patterns in PDEs /$rWolf-Jürgen Beyn, Denny Otten, and Jens Rottmann-Matthes.$tContinuous decompositions and coalescing eigenvalues for matrices depending on parameters /$rLuca Dieci ... [and 3 more].$tStability of linear problems: joint spectral radius of sets of matrices /$rNicola Guglielmi and Marino Zennaro
520   $aThis volume addresses some of the research areas in the general field of stability studies for differential equations, with emphasis on issues of concern for numerical studies. Topics considered include: (i) the long time integration of Hamiltonian Ordinary DEs and highly oscillatory systems, (ii) connection between stochastic DEs and geometric integration using the Markov chain Monte Carlo method, (iii) computation of dynamic patterns in evolutionary partial DEs, (iv) decomposition of matrices depending on parameters and localization of singularities, and (v) uniform stability analysis for time dependent linear initial value problems of ODEs. The problems considered in this volume are of interest to people working on numerical as well as qualitative aspects of differential equations, and it will serve both as a reference and as an entry point into further research
650  0$aDifferential equations
650  0$aMarkov processes
650  0$aDecomposition (Mathematics)
650  0$aHamiltonian systems
700 1 $aBeyn, Wolf-Jürgen$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0524896
700 1 $aDieci, Luca
700 1 $aGuglielmi, Nicola
907   $a.b14316201$b07-02-17$c07-02-17
912   $a991003325249707536
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996   $aCurrent challenges in stability issues for numerical differential equations$91465390
997   $aUNISALENTO
998   $ale013$b07-02-17$cm$da  $e-$feng$gsz $h0$i0