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Error bounds for explicit ERKN integrators for systems of multi-frequency oscillatory second-order differential equations
Affiliation:1. Department of Mathematics, Nanjing University; State Key Laboratory for Novel Software Technology at Nanjing University, Nanjing 210093, PR China;2. Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA;1. Department of Mathematical Sciences, Norwegian University of Science and Technology, Norway;2. Universität zu Lübeck, Institut für Mathematik, Ratzeburger Allee 160, 23562 Lübeck, Germany;1. Department of Computational and Applied Mathematics, China University of Petroleum, Qingdao 266580, PR China;2. Department of Mathematics, East China Normal University, Shanghai 200062, PR China;3. Laboratório Nacional de Computação Científica, MCTI Avenida Getúlio Vargas 333, 25651-075 Petrópolis, RJ, Brazil;1. School of Science, Northwestern Polytechnical University, Xi''an, Shaanxi 710072, PR China;2. College of Science, Chang''an University, Xi''an, Shaanxi 710064, PR China
Abstract:
Keywords:Multi-frequency oscillatory second-order differential equations  Explicit multi-frequency and multidimensional ERKN integrators  Error bounds  Dispersion and dissipation errors
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