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高振荡微分方程几何积分法(英文版) 读者对象:计算数学,应用数学,计算物理,计算化学、天文学等相关领域的研究人员,大专院校理工类相关专业的教师、高年级学生、研究生、工程师和技术人员等
Thesubjectofthisbookisgeometricintegratorsfordifferentialequationswithhighlyoscillatorysolutions,includingoscillation-preservingintegrators,continuous-stageERKNintegrators,nonlinearstabilityandconvergenceanalysisofERKNintegrators,functionally-fittedenergy-preservingintegrators,exponentialcollocationmethods,volume-preservingexponentialintegrators,globalerrorboundsofone-stageERKNintegratorsforsemilinearwaveequations,linearly-fittedconservative/dissipativeintegrators,energy-preservingschemesforKlein–Gordonequations,Hermite–BirkhofftimeintegratorsforKlein–Gordonequations,symplecticapproximationsforKlein–Gordonequations,continuous-stagemodifiedleap-frogschemeforhigh-dimensionalHamiltonianwaveequations,semi-analyticalexponentialRKNintegrators,long-timemomentumandactionsbehaviourofenergy-preservingmethods.Thenewgeometricintegratorsareappliedtoproblemswithhighlyoscillatorysolutionsfromsciencesandengineering.
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