@Article{IJNAM-4-2, author = {}, title = {Stability-Preserving Finite-Difference Methods for General Multi-Dimensional Autonomous Dynamical Systems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2007}, volume = {4}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/2007-IJNAM-862}, url = {https://global-sci.com/article/83769/stability-preserving-finite-difference-methods-for-general-multi-dimensional-autonomous-dynamical-systems} }