Error Inhibiting Block One-step Schemes for Ordinary Differential Equations
作者: A. DitkowskiS. Gottlieb
作者单位: 1Tel Aviv University
2University of Massachusetts, Dartmouth
刊名: Journal of Scientific Computing, 2017, Vol.73 (2-3), pp.691-711
来源数据库: Springer Nature Journal
DOI: 10.1007/s10915-017-0441-8
关键词: ODE solversGeneral linear methodsOne-step methodsGlobal errorLocal truncation errorError inhibiting schemes
原始语种摘要: The commonly used one step methods and linear multi-step methods all have a global error that is of the same order as the local truncation error (as defined in [ 1 , 6 , 8 , 13 , 15 ]). In fact, this is true of the entire class of general linear methods. In practice, this means that the order of the method is typically defined solely by order conditions which are derived by studying the local truncation error. In this work we investigate the interplay between the local truncation error and the global error, and develop a methodology which defines the construction of explicit error inhibiting block one-step methods (alternatively written as explicit general linear methods [ 2 ]). These error inhibiting schemes are constructed so that the accumulation of the local truncation error over time...
全文获取路径: Springer Nature  (合作)
影响因子:1.71 (2012)

  • error 误差
  • truncation 
  • inhibiting 抑制
  • local 局部的
  • demonstrate 说明
  • global 球状的
  • linear 线形的
  • alternatively 二中择一地
  • develop 发展
  • computational 计算的