Arbitrarily high-order energy-conserving methods for hamiltonian problems with quadratic holonomic constraints

Pierluigi Amodio,Luigi Brugnano,Gianluca Frasca-Caccia,Felice Iavernaro

JOURNAL OF COMPUTATIONAL MATHEMATICS（2023）

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摘要

In this paper, we define arbitrarily high-order energy-conserving methods for Hamiltonian systems with quadratic holonomic constraints. The derivation of the methods is made within the so-called line integral framework. Numerical tests to illustrate the theoretical findings are presented.

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关键词

Constrained Hamiltonian systems,Quadratic holonomic constraints,Energy- conserving methods,Line integral methods,Hamiltonian Boundary Value Methods,HB- VMs

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