Algorithmic properties of the midpoint predictor-corrector time integrator. | Zendy

William J. Rider | Zendy; Edward Love | Zendy; Guglielmo Scovazzi | Zendy

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Algorithmic properties of the midpoint predictor-corrector time integrator.

Author(s) -

William J. Rider,

Edward Love,

Guglielmo Scovazzi

Publication year - 2009

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/983698

Subject(s) - midpoint , integrator , mathematics , angular momentum , stability (learning theory) , objectivity (philosophy) , mathematical analysis , algorithm , physics , classical mechanics , computer science , geometry , quantum mechanics , philosophy , epistemology , voltage , machine learning

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.

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