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

DOI10.4208/JCM.2301-M2022-0065arXiv2203.03275WikidataQ126179678 ScholiaQ126179678MaRDI QIDQ6505556

F. Iavernaro, L. Brugnano, Gianluca Frasca-Caccia, P. Amodio

Abstract: 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.

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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