ABSTRACT. When approximating reversible Hamiltonian problems, the presence of a “drift” in the numerical values of the Hamiltonian is sometimes experienced, even when reversible methods of integration are used. In this paper we analyze the phenomenon by using a more precise definition of time reversal symmetry for both the continuous and the discrete problems. A few examples are also presented to support the analysis.
Energy drift in the numerical integration of Hamiltonian problems / L. Brugnano; D. Trigiante. - In: JOURNAL OF NUMERICAL ANALYSIS,INDUSTRIAL AND APPLIED MATHEMATICS. - ISSN 1790-8140. - STAMPA. - 4, 3-4:(2009), pp. 153-170.
Energy drift in the numerical integration of Hamiltonian problems
BRUGNANO, LUIGI;TRIGIANTE, DONATO
2009
Abstract
ABSTRACT. When approximating reversible Hamiltonian problems, the presence of a “drift” in the numerical values of the Hamiltonian is sometimes experienced, even when reversible methods of integration are used. In this paper we analyze the phenomenon by using a more precise definition of time reversal symmetry for both the continuous and the discrete problems. A few examples are also presented to support the analysis.
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