@Article{IJNAM-4-280, 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/}, url = {http://global-sci.org/intro/article_detail/ijnam/862.html} }