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Applied Mathematics SeminarDate/Time/Room: Friday (10/10/2003) at 2:00pm in 304 Pickard Hall
Speaker: Hristo Kojouharov,
Department of Mathematics, University of Texas at Arlington "Nonstandard Finite Difference Methods for Partial Differential Equations"Abstract: A new class of finite difference methods for advection-diffusion equations with nonlinear reactions will be formulated and analyzed. The proposed numerical techniques are based on a nonlocal modeling of the reaction terms and a nonstandard discretization of the time derivative. This approach leads to significant qualitative improvements in the behavior of the numerical solutions.
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