A complex Lie-symmetry approach to calculate first integrals and their numerical preservation (Q2333955)
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| Language | Label | Description | Also known as |
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| English | A complex Lie-symmetry approach to calculate first integrals and their numerical preservation |
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A complex Lie-symmetry approach to calculate first integrals and their numerical preservation (English)
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13 November 2019
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Summary: We calculated Noether-like operators and first integrals of a scalar second-order ordinary differential equation using the complex Lie-symmetry method. We numerically integrated the equations using a symplectic Runge-Kutta method. It was seen that these structure-preserving numerical methods provide qualitatively correct numerical results, and good preservation of first integrals is obtained.
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Hamiltonian system
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complex Lagrangian
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Noether symmetries
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first integrals
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symplectic Runge-Kutta methods
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