LEADER 05118nam 22008655 450 001 996198769403316 005 20200705020041.0 010 $a3-319-01300-9 024 7 $a10.1007/978-3-319-01300-8 035 $a(CKB)3710000000078742 035 $a(DE-He213)978-3-319-01300-8 035 $a(SSID)ssj0001090519 035 $a(PQKBManifestationID)11620044 035 $a(PQKBTitleCode)TC0001090519 035 $a(PQKBWorkID)11024745 035 $a(PQKB)10492832 035 $a(MiAaPQ)EBC3107097 035 $a(PPN)176103945 035 $a(EXLCZ)993710000000078742 100 $a20131207d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCurrent Challenges in Stability Issues for Numerical Differential Equations$b[electronic resource] $eCetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi /$fby Wolf-Jürgen Beyn, Luca Dieci, Nicola Guglielmi, Ernst Hairer, Jesús María Sanz-Serna, Marino Zennaro 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (IX, 313 p. 121 illus., 105 illus. in color.) 225 1 $aC.I.M.E. Foundation Subseries ;$v2082 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-01299-1 327 $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. 330 $aThis volume addresses some of the research areas in the general field of stability studies for differential equations, with emphasis on issues of concern for numerical studies. Topics considered include: (i) the long time integration of Hamiltonian Ordinary DEs and highly oscillatory systems, (ii) connection between stochastic DEs and geometric integration using the Markov chain Monte Carlo method, (iii) computation of dynamic patterns in evolutionary partial DEs, (iv) decomposition of matrices depending on parameters and localization of singularities, and (v) uniform stability analysis for time dependent linear initial value problems of ODEs. The problems considered in this volume are of interest to people working on numerical as well as qualitative aspects of differential equations, and it will serve both as a reference and as an entry point into further research. 410 0$aC.I.M.E. Foundation Subseries ;$v2082 606 $aComputer mathematics 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aDifferential equations 606 $aPartial differential equations 606 $aAlgorithms 606 $aMatrix theory 606 $aAlgebra 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aAlgorithms$3https://scigraph.springernature.com/ontologies/product-market-codes/M14018 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 615 0$aComputer mathematics. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aDifferential equations. 615 0$aPartial differential equations. 615 0$aAlgorithms. 615 0$aMatrix theory. 615 0$aAlgebra. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aApplications of Mathematics. 615 24$aOrdinary Differential Equations. 615 24$aPartial Differential Equations. 615 24$aAlgorithms. 615 24$aLinear and Multilinear Algebras, Matrix Theory. 676 $a518 676 $a518 700 $aBeyn$b Wolf-Jürgen$4aut$4http://id.loc.gov/vocabulary/relators/aut$0524896 702 $aDieci$b Luca$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aGuglielmi$b Nicola$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aHairer$b Ernst$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSanz-Serna$b Jesús María$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZennaro$b Marino$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a996198769403316 996 $aCurrent challenges in stability issues for numerical differential equations$9821189 997 $aUNISA