In this presentation we discuss various methods for computing sensitivities for parameterized systems of differential equations. We motivate the talk by describing applications to materials manufacturing and to chemically reacting flows. One dimensional examples are presented to illustrate the basic ideas and to expose some of the numerical and mathematical difficulties that need to be addressed. Finally, we close with a discussion of recent software advances in this area.

Material used during the talk

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1999-2000 Reactive Flow and Transport Phenomena