Current Challenges in Stability Issues for Numerical Differential Equations Cetraro, Italy 2011, Editors: 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) c...

Full description

Main Authors: Beyn, Wolf-Jürgen. (Author, http://id.loc.gov/vocabulary/relators/aut), Dieci, Luca. (http://id.loc.gov/vocabulary/relators/aut), Guglielmi, Nicola. (http://id.loc.gov/vocabulary/relators/aut), Hairer, Ernst. (http://id.loc.gov/vocabulary/relators/aut), Sanz-Serna, Jesús María. (http://id.loc.gov/vocabulary/relators/aut), Zennaro, Marino. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:C.I.M.E. Foundation Subseries ; 2082
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-01300-8
LEADER 04583nam a22006735i 4500
001 978-3-319-01300-8
003 DE-He213
005 20210617055232.0
007 cr nn 008mamaa
008 131207s2014 gw | s |||| 0|eng d
020 |a 9783319013008  |9 978-3-319-01300-8 
024 7 |a 10.1007/978-3-319-01300-8  |2 doi 
050 4 |a QA71-90 
072 7 |a PBKS  |2 bicssc 
072 7 |a MAT006000  |2 bisacsh 
072 7 |a PBKS  |2 thema 
082 0 4 |a 518  |2 23 
100 1 |a Beyn, Wolf-Jürgen.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Current Challenges in Stability Issues for Numerical Differential Equations  |h [electronic resource] :  |b Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi /  |c by Wolf-Jürgen Beyn, Luca Dieci, Nicola Guglielmi, Ernst Hairer, Jesús María Sanz-Serna, Marino Zennaro. 
250 |a 1st ed. 2014. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a IX, 313 p. 121 illus., 105 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a C.I.M.E. Foundation Subseries ;  |v 2082 
505 0 |a 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. 
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 Computer mathematics. 
650 0 |a Applied mathematics. 
650 0 |a Engineering mathematics. 
650 0 |a Differential equations. 
650 0 |a Partial differential equations. 
650 0 |a Algorithms. 
650 0 |a Matrix theory. 
650 0 |a Algebra. 
650 1 4 |a Computational Mathematics and Numerical Analysis.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 
650 2 4 |a Applications of Mathematics.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M13003 
650 2 4 |a Ordinary Differential Equations.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M12147 
650 2 4 |a Partial Differential Equations.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M12155 
650 2 4 |a Algorithms.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M14018 
650 2 4 |a Linear and Multilinear Algebras, Matrix Theory.  |0 https://scigraph.springernature.com/ontologies/product-market-codes/M11094 
700 1 |a Dieci, Luca.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Guglielmi, Nicola.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Hairer, Ernst.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Sanz-Serna, Jesús María.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Zennaro, Marino.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319012995 
776 0 8 |i Printed edition:  |z 9783319013015 
830 0 |a C.I.M.E. Foundation Subseries ;  |v 2082 
856 4 0 |u https://doi.org/10.1007/978-3-319-01300-8 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)