TY - JOUR
T1 - Stability-Preserving Finite-Difference Methods for General Multi-Dimensional Autonomous Dynamical Systems
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 280
EP - 290
PY - 2007
DA - 2007/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/862.html
KW - finite-difference, nonstandard scheme, elementary stability, dynamical systems.
AB - <p style="text-align: justify;">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.</p>