Stability-Preserving Finite-Difference Methods for General Multi-Dimensional Autonomous Dynamical Systems
Year: 2007
International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 2 : pp. 280–290
Abstract
General multi-dimensional autonomous dynamical systems and their numerical discretizations are considered. Nonstandard stability-preserving finite-difference schemes based on the $\theta$-methods and the second-order Runge-Kutta methods are designed and analyzed. Their elementary stability is established theoretically and is also supported by a set of numerical examples.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-IJNAM-862
International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 2 : pp. 280–290
Published online: 2007-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: finite-difference nonstandard scheme elementary stability dynamical systems.