Algorithmic properties of the midpoint predictor-corrector time integrator.

Rider, William J. ; Love, Edward ; Scovazzi, Guglielmo

Sandia National Laboratories

关键词: Errors;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Dispersions;    Stability;    Algorithms;   

DOI  :  10.2172/983698
RP-ID  :  SAND2009-1127
RP-ID  :  AC04-94AL85000
RP-ID  :  983698

美国|英语

来源: UNT Digital Library

【 摘 要 】

Algorithmic properties of the midpoint predictor-corrector time integration algorithm are examined. In the case of a finite number of iterations, the errors in angular momentum conservation and incremental objectivity are controlled by the number of iterations performed. Exact angular momentum conservation and exact incremental objectivity are achieved in the limit of an infinite number of iterations. A complete stability and dispersion analysis of the linearized algorithm is detailed. The main observation is that stability depends critically on the number of iterations performed.