On conjugate symplecticity of B-series integrators

DOI10.1093/imanum/drs010zbMath1329.65307OpenAlexW2110706332MaRDI QIDQ4907961

C. J. Zbinden, Ernst Hairer

Publication date: 27 February 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://doc.rero.ch/record/295922/files/drs010.pdf

zbMATH Keywords

B-seriesLobatto IIIA methodsRooted treesHamiltonian differential equationsBackward error analysisModified equationsConjugate symplecticityEnergy-preserving integratorsLobatto IIIB methodsSimplifying assumptions

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (15)

Numerical error in modeling of particle-accumulation structures in periodic free-surface flows ⋮ G-symplecticity implies conjugate-symplecticity of the underlying one-step method ⋮ Testing a new conservative method for solving the Cauchy problem for Hamiltonian systems on test problems ⋮ An energy-preserving exponentially-fitted continuous stage Runge-Kutta method for Hamiltonian systems ⋮ Construction of Runge-Kutta type methods for solving ordinary differential equations ⋮ Long-term stability of multi-value methods for ordinary differential equations ⋮ Multiple invariants conserving Runge-Kutta type methods for Hamiltonian problems ⋮ Conjugate-symplecticity properties of Euler-Maclaurin methods and their implementation on the infinity computer ⋮ The minimal stage, energy preserving Runge–Kutta method for polynomial Hamiltonian systems is the averaged vector field method ⋮ A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems ⋮ A note on continuous-stage Runge-Kutta methods ⋮ High order symplectic integrators based on continuous-stage Runge-Kutta-Nyström methods ⋮ B-series methods are exactly the affine equivariant methods ⋮ Correction to: ``On a class of Hermite-Obreshkov one-step methods with continuous spline extension ⋮ Symplectic integration of boundary value problems

This page was built for publication: On conjugate symplecticity of B-series integrators