Stability-preserving Finite-difference Methods for General Multi-dimensional Autonomous Dynamical Systems
نویسندگان
چکیده
General multi-dimensional autonomous dynamical systems and their numerical discretizations are considered. Nonstandard stability-preserving finite-difference schemes based on the θ-methods and the second-order RungeKutta methods are designed and analyzed. Their elementary stability is established theoretically and is also supported by a set of numerical examples.
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