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001 978-3-319-01300-8
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007 cr nn 008mamaa
008 131207s2014 gw | s |||| 0|eng d
020 _a9783319013008
_9978-3-319-01300-8
024 7 _a10.1007/978-3-319-01300-8
_2doi
050 4 _aQA71-90
072 7 _aPBKS
_2bicssc
072 7 _aMAT006000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a518
_223
100 1 _aBeyn, Wolf-Jürgen.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aCurrent Challenges in Stability Issues for Numerical Differential Equations
_h[electronic resource] :
_bCetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi /
_cby Wolf-Jürgen Beyn, Luca Dieci, Nicola Guglielmi, Ernst Hairer, Jesús María Sanz-Serna, Marino Zennaro.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aIX, 313 p. 121 illus., 105 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aC.I.M.E. Foundation Subseries ;
_v2082
505 0 _aStudies 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 _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 _aComputer science
_xMathematics.
650 0 _aMathematics.
650 0 _aDifferential Equations.
650 0 _aDifferential equations, partial.
650 0 _aAlgorithms.
650 0 _aMatrix theory.
650 1 4 _aComputational Mathematics and Numerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M1400X
650 2 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aOrdinary Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12147
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aAlgorithms.
_0http://scigraph.springernature.com/things/product-market-codes/M14018
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11094
700 1 _aDieci, Luca.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aGuglielmi, Nicola.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aHairer, Ernst.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aSanz-Serna, Jesús María.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aZennaro, Marino.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319012995
776 0 8 _iPrinted edition:
_z9783319013015
830 0 _aC.I.M.E. Foundation Subseries ;
_v2082
856 4 0 _uhttps://doi.org/10.1007/978-3-319-01300-8
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11376
_d11376