A note on modified Hamiltonians for numerical integrations admitting an exact invariant

DOI10.1088/0951-7715/16/5/308zbMath1046.65109OpenAlexW2062253350MaRDI QIDQ4466385

Chris Field, Frank W. Nijhoff

Publication date: 9 June 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/16/5/308

zbMATH Keywords

numerical examplesHamiltonian systemssymplectic integrationbackward error analysismodified HamiltoniansEuler discretizationleap-frog discretizations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (3)

Convergence analysis of the formal energies of symplectic methods for Hamiltonian systems ⋮ Closed-form modified Hamiltonians for integrable numerical integration schemes ⋮ Quantized alternating integrable mappings

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