LEADER 03072nam 2200529Ia 450 001 9910437886703321 005 20200520144314.0 010 $a1-299-33711-2 010 $a3-642-35338-X 024 7 $a10.1007/978-3-642-35338-3 035 $a(OCoLC)844064336 035 $a(MiFhGG)GVRL6YPW 035 $a(CKB)2670000000337191 035 $a(MiAaPQ)EBC1106285 035 $a(EXLCZ)992670000000337191 100 $a20130211d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aStructure-preserving algorithms for oscillatory differential equations /$fXinyuan Wu, Xiong You, Bin Wang 205 $a1st ed. 2013. 210 $aHeidelberg ;$aNew York $cSpringer ;$aBeijing $cScience Press$d2013 215 $a1 online resource (xii, 236 pages) $cillustrations 225 0 $aGale eBooks 300 $aDescription based upon print version of record. 311 1 $a3-642-44556-X 311 1 $a3-642-35337-1 320 $aIncludes bibliographical references and index. 327 $aRunge-Kutta (-Nyström) Methods for Oscillatory Differential Equations -- ARKN Methods -- ERKN Methods -- Symplectic and Symmetric Multidimensional ERKN Methods -- Two-Step Multidimensional ERKN Methods -- Adapted Falkner-Type Methods -- Energy-Preserving ERKN Methods -- Effective Methods for Highly Oscillatory Second-Order Nonlinear Differential Equations -- Extended Leap-Frog Methods for Hamiltonian Wave Equations. 330 $aStructure-Preserving Algorithms for Oscillatory Differential Equations describes a large number of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Structure-preserving algorithms for differential equations, especially for oscillatory differential equations, play an important role in the accurate simulation of oscillatory problems in applied sciences and engineering. The book discusses novel advances in the ARKN, ERKN, two-step ERKN, Falkner-type and energy-preserving methods, etc. for oscillatory differential equations. The work is intended for scientists, engineers, teachers and students who are interested in structure-preserving algorithms for differential equations. Xinyuan Wu is a professor at Nanjing University; Xiong You is an associate professor at Nanjing Agricultural University; Bin Wang is a joint Ph.D student of Nanjing University and University of Cambridge. 606 $aDifferential equations, Nonlinear$xNumerical solutions 606 $aMathematics 615 0$aDifferential equations, Nonlinear$xNumerical solutions. 615 0$aMathematics. 676 $a511.8 700 $aWu$b Xinyuan$0767990 701 $aYou$b Xiong$01761736 701 $aWang$b Bin$0767991 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437886703321 996 $aStructure-preserving algorithms for oscillatory differential equations$94201345 997 $aUNINA