Analysis of energy and quadratic invariant preserving (EQUIP) methods

DOI10.1016/j.cam.2017.11.043zbMath1444.65069arXiv1705.05185OpenAlexW2615042878MaRDI QIDQ1743918

Luigi Brugnano, Felice Iavernaro, Gianmarco Gurioli

Publication date: 16 April 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05185

zbMATH Keywords

symplectic methodsHamiltonian problemsline integral methodsPoisson problemsenergy-conserving methodsGauss collocation methods

Mathematics Subject Classification ID

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)

Related Items (16)

Energy and Quadratic Invariants Preserving Methods for Hamiltonian Systems With Holonomic Constraints ⋮ Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems ⋮ Drift-preserving numerical integrators for stochastic Poisson systems ⋮ Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations ⋮ Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function ⋮ A class of structure-preserving discontinuous Galerkin variational time integrators for Birkhoffian systems ⋮ Arbitrarily high-order energy-conserving methods for Poisson problems ⋮ Arbitrary high-order EQUIP methods for stochastic canonical Hamiltonian systems ⋮ How do Monte Carlo estimates affect stochastic geometric numerical integration? ⋮ Superconvergence of projection integrators for conservative system ⋮ Numerical investigation of stochastic canonical Hamiltonian systems by high order stochastic partitioned Runge-Kutta methods ⋮ High-order energy-conserving line integral methods for charged particle dynamics ⋮ Drift-preserving numerical integrators for stochastic Hamiltonian systems ⋮ Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems ⋮ A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian boundary value methods (HBVMs) ⋮ Line integral solution of differential problems

Uses Software

• RODAS
• Mulprec
• LIMbook

Cites Work

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