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# Donald J. Estep : Estimating the Error of Numerical Solutions of Systems of Reaction-Diffusion Equations

One of the pressing problems in the analysis of reaction-diffusion equations is obtaining accurate and reliable estimates of the error of numerical solutions. Recently, we made significant progress using a new approach that at the heart is computational rather than analytical. I will describe a framework for deriving and analyzing a posteriori error estimates, discuss practical details of the implementation of the theory, and illustrate the error estimation using a variety of well-known models. I will also briefly describe an application of the theory to the class of problems that admit invariant rectangles and discuss the preservation of invariant rectangles under discretization.

**Category**: Applied Math and Analysis**Duration**: 01:06:13**Date**: January 17, 2000 at 4:00 PM**Views**: 26-
**Tags:**seminar, Applied Math Seminar

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