Year: 2002
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 6 : pp. 619–626
Abstract
We study structure-preserving algorithms to phase space volume for linear dynamical systems $\dot{y} = Ly$ for which arbitrarily high order explicit symmetric structure-preserving schemes, i.e. the numerical solutions generated by the schemes satisfy $\det(\frac{\partial y_1}{\partial y_0})=e^{htrL}$, where $trL$ is the trace of matrix $L$, can be constructed. For nonlinear dynamical systems $\dot{y}=f(y)$ Feng-Shang first-order volume-preserving scheme can be also constructed starting from modified $\theta-$methods and is shown that the scheme is structure-preserving to phase space volume.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JCM-8947
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 6 : pp. 619–626
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: structure-preserving algorithm phase space volume source-free dynamical system.