Energy- and Quadratic Invariants--Preserving Integrators Based upon Gauss Collocation Formulae
DOI10.1137/110856617zbMath1261.65130arXiv1005.1930OpenAlexW1725386086MaRDI QIDQ4907143
Felice Iavernaro, Donato Trigiante, Luigi Brugnano
Publication date: 4 March 2013
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.1930
numerical examplesHamiltonian systemsRunge-Kutta methodsymplectic integratorsenergy-preserving methodGauss collocation formula
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
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