Improving the accuracy of the newmark method through backward error analysis

HIGHLIGHTS

• What: Using these results the authors show how to construct compensation terms from the original parameters of the system which improve the performance of Newmark simulations. This paper bridges this gap: the authors give two forms of the distorted equation for linear systems under transient excitations simulated using the Newmark scheme. The authors show how the numerical damping introduced by the Newmark method can be mitigated for arbitrary values of the Newmark parameters γ and β. The authors show how the Newmark scheme (which is traditionally second-order accurate at most) can be used to perform fourth-order accurate . . .
  

   

  

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