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Algorithmic properties of the midpoint predictor-corrector time integrator.

Technical Report ·
DOI:https://doi.org/10.2172/983698· OSTI ID:983698
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.
Research Organization:
Sandia National Laboratories
Sponsoring Organization:
USDOE
DOE Contract Number:
AC04-94AL85000
OSTI ID:
983698
Report Number(s):
SAND2009-1127
Country of Publication:
United States
Language:
English

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