Construction of symplectic (partitioned) Runge-Kutta methods with continuous stage

DOI10.1016/j.amc.2016.04.026zbMath1410.65264arXiv1504.04791OpenAlexW2136177340MaRDI QIDQ1733535

Xuqiong Luo, Wensheng Tang, Guangming Lang

Publication date: 21 March 2019

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

Full work available at URL: https://arxiv.org/abs/1504.04791

zbMATH Keywords

Hamiltonian systemssymplectic methodscontinuous-stage partitioned Runge-Kutta methodscontinuous-stage Runge-Kutta methods

Mathematics Subject Classification ID

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

Related Items (8)

Continuous stage stochastic Runge-Kutta methods ⋮ Symplecticity-preserving continuous-stage Runge-Kutta-Nyström methods ⋮ Discontinuous Galerkin methods for Hamiltonian ODEs and PDEs ⋮ Constructive characterization of Runge-Kutta methods that satisfy the M-condition ⋮ A note on continuous-stage Runge-Kutta methods ⋮ Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems ⋮ Symmetric integrators based on continuous-stage Runge-Kutta-Nyström methods for reversible systems ⋮ High order symplectic integrators based on continuous-stage Runge-Kutta-Nyström methods

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