Symmetric second derivative integration methods

DOI10.1016/j.cam.2017.09.016zbMath1376.65148OpenAlexW2755848931MaRDI QIDQ1675994

Peng Zhang

Publication date: 3 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.09.016

zbMATH Keywords

numerical experimentsHamiltonian systemsgeneral linear methodssymmetric methodsG-symplecticitysecond derivative methodsinvariants of motionreversible problems

Mathematics Subject Classification ID

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)

Related Items

Efficient Nordsieck second derivative general linear methods: construction and implementation ⋮ Composite symmetric second derivative general linear methods for Hamiltonian systems ⋮ Implementation of second derivative general linear methods ⋮ Implicit-explicit second derivative diagonally implicit multistage integration methods ⋮ Order conditions for second derivative general linear methods ⋮ Projection of second derivative methods for ordinary differential equations with invariants ⋮ Partitioned second derivative methods for separable Hamiltonian problems

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