C  1 ‐continuous time integration based on cubic Hermite interpolation | Zendy

Mergel Janine C. | Zendy; Sauer Roger A. | Zendy; OberBlöbaum Sina | Zendy

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C 1 ‐continuous time integration based on cubic Hermite interpolation

Author(s) -

Mergel Janine C.,

Sauer Roger A.,

OberBlöbaum Sina

Publication year - 2016

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201610365

Subject(s) - monotone cubic interpolation , piecewise , hermite interpolation , hermite polynomials , mathematics , interpolation (computer graphics) , cubic hermite spline , convergence (economics) , integrator , rate of convergence , cubic function , scheme (mathematics) , order (exchange) , mathematical analysis , computer science , physics , linear interpolation , polynomial interpolation , bicubic interpolation , key (lock) , classical mechanics , motion (physics) , computer network , computer security , bandwidth (computing) , finance , economics , polynomial , economic growth

We discuss a C 1 ‐continuous time integration method based on piecewise cubic Hermite approximation. This method, denoted as p2‐scheme, belongs to a class of one‐step integration methods derived recently [1]. It exhibits a convergence rate of order four and shows properties similar to variational integrators, such as an excellent long‐term energy preservation. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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