Sensitivity analysis and computational uncertainty with applications to control of nonlinear parabolic partial differential equations

摘要

In this paper we illustrate how sensitivities can be used to provide a practical precursor to dynamic transitions and numerical uncertainty in parameterized nonlinear parabolic partial differential equations. In particular, we focus on reaction-diffusion equations and provide numerical examples to illustrate the ideas and to suggest how one might use sensitivities to address computational uncertainty.