On exactly conservative integrators | Zendy

John C. Bowman | Zendy; B. A. Shadwick | Zendy; P. J. Morrison | Zendy

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On exactly conservative integrators

Author(s) -

John C. Bowman,

B. A. Shadwick,

P. J. Morrison

Publication year - 1997

Publication title -

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

Language(s) - English

Resource type - Reports

DOI - 10.2172/510401

Subject(s) - nonlinear system , mathematics , integrator , euler's formula , polynomial , calculus (dental) , computer science , algorithm , mathematical analysis , physics , medicine , computer network , dentistry , bandwidth (computing) , quantum mechanics

Traditional explicit numerical discretizations of conservative systems generically predict artificial secular drifts of nonlinear invariants. These algorithms are based on polynomial functions of the time step. The authors discuss a general approach for developing explicit algorithms that conserve such invariants exactly. They illustrate the method by applying it to the truncated two-dimensional Euler equations

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