振荡微分方程的保结构算法（英文版）

Theobjectiveofthismonographistostudystructure-preservingalgorithmsforoscillatoryproblemsthatariseinawiderangeoffieldssuchasastronomy，molecu-lardynamics，classicalmechanics，quantummechanics，chemistry，biologyanden-gineering.Suchproblemscanoftenbemodeledbyinitialvalueproblemsofsecond-orderdifferentialequationswithalineartermcharacterizingtheoscillatorystruc-tureofthesystems.Sincegeneral-purposehighorderRunge-Kutta（RK）methods，Runge-Kutta-Nystrom（RKN）methods，andlinearmultistepmethods（LMM）can-notrespectthespecialstructuresofoscillatoryproblemsinlong-termintegration，innovativeintegratorshavetobedesigned.Thismonographsystematicallydevelopstheoriesandmethodsforsolvingsecond-orderdifferentialequationswithoscillatorysolutions.