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  • 标题:Numerical Analysis of a Family of Second Order Time Stepping Methods for Boussinesq Equations
  • 本地全文:下载
  • 作者:Aytekin Cibik ; Medine Demir ; Songul Kaya
  • 期刊名称:Lecture Notes in Engineering and Computer Science
  • 印刷版ISSN:2078-0958
  • 电子版ISSN:2078-0966
  • 出版年度:2018
  • 卷号:2235&2236
  • 页码:56-59
  • 出版社:Newswood and International Association of Engineers
  • 摘要:This report considers a family of second order time stepping schemes for Boussinesq system. The scheme uses the idea of curvature stabilization in which the discrete curvature of the solutions is added together with the linearized advective term at each time step. Unconditional stability and convergence of the method are established. Several numerical experiments are provided to demonstrate the accuracy and the efficiency of the method.
  • 关键词:Boussinesq equations; curvature stabilization; linear extrapolation; error analysis;
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