Projection methods and discrete gradient methods for preserving first integrals of ODEs

DOI10.3934/dcds.2015.35.2079zbMath1302.65063arXiv1302.2713OpenAlexW3106301604MaRDI QIDQ484424

David I. McLaren, Ali Stern, Richard A. Norton, Antonella Zanna, Gilles Reinout Willem Quispel

Publication date: 7 January 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2713

zbMATH Keywords

Hamiltonian systemsprojectiongeometric integrationdiscrete gradientsenergy preserving integrators

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical integration (65D30) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (9)

Discrete gradient methods for preserving a first integral of an ordinary differential equation ⋮ Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables ⋮ Conservative Methods for Dynamical Systems ⋮ Adaptive energy preserving methods for partial differential equations ⋮ Projection methods for stochastic differential equations with conserved quantities ⋮ An energy-momentum conserving scheme for Hamiltonian wave equation based on multiquadric trigonometric quasi-interpolation ⋮ Energy-preserving integrators applied to nonholonomic systems ⋮ Order theory for discrete gradient methods ⋮ Discrete gradient methods and linear projection methods for preserving a conserved quantity of stochastic differential equations

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