A derivation of energy-preserving exponentially-fitted integrators for Poisson systems

DOI10.1016/j.cpc.2014.11.003zbMath1348.34080OpenAlexW2081287525MaRDI QIDQ337730

Yuto Miyatake

Publication date: 10 November 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2014.11.003

zbMATH Keywords

energy-preserving methodexponentially-fitted methodPoisson systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

Numerical methods preserving multiple Hamiltonians for stochastic Poisson systems ⋮ A unified framework for the study of high-order energy-preserving integrators for solving Poisson systems ⋮ Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function ⋮ Functionally-fitted energy-preserving integrators for Poisson systems ⋮ Long-Time Oscillatory Energy Conservation of Total Energy-Preserving Methods for Highly Oscillatory Hamiltonian Systems ⋮ Arbitrarily high-order energy-conserving methods for Poisson problems ⋮ High-order linearly implicit schemes conserving quadratic invariants ⋮ Exponential integrators with quadratic energy preservation for linear Poisson systems ⋮ Functionally Fitted Energy-Preserving Methods for Solving Oscillatory Nonlinear Hamiltonian Systems ⋮ Efficient energy-preserving methods for charged-particle dynamics ⋮ Exponential collocation methods for conservative or dissipative systems

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