12 p.m. - 1 p.m. Location: FO 1.202
Nonstandard Finite Difference Methods for Dynamical Systems in Biology
A brief overview of the nonstandard finite difference methods is presented. Next, using the nonstandard discretization approach, a dynamically consistent numerical method is developed for productive-destructive systems. Finally, a nonstandard finite difference method for general autonomous dynamical systems is constructed. The proposed numerical methods preserve the positivity of solutions and the local behavior of the corresponding dynamical systems near equilibria; and are also computationally efficient and easy to implement. Applications to select problems in biology are given to demonstrate the performance of the new methods.
John Zweck, 972-883-6699
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