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Energy conservation with non-symplectic methods: examples and counter-examples - MaRDI portal

Energy conservation with non-symplectic methods: examples and counter-examples (Q2566635)

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Energy conservation with non-symplectic methods: examples and counter-examples
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    Energy conservation with non-symplectic methods: examples and counter-examples (English)
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    26 September 2005
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    Energy conservation of numerical integrators is well understood for symplectic one-step methods. This article provides new insight into energy conservation with non-symplectic methods. Sufficient conditions and counter-examples are presented.
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    Hamiltonian systems
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    energy conservation
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    backward error analysis
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    counter examples
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    symplectic one-step methods
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    non-symplectic methods
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