Kurt E. Shuler

TL;DR: In this article, the sensitivity of the solutions of large sets of coupled nonlinear rate equations to uncertainties in the rate coefficients is investigated, and it is shown via an application of Weyl's ergodic theorem that a subset of the Fourier coefficients is related to ∂ci/∂kl ǫ, the rate of change of the concentration of species i with respect to the rate constant for reaction l averaged over the uncertainties of all the other rate coefficients.

TL;DR: In this article, the sensitivity analysis presented in this paper is nonlinear and thus permits one to study the effects of large deviations from the nominal parameter values, and since all parameters are varied simultaneously, one can explore regions of parameter space where several parameters deviate simultaneously from their nominal values.

TL;DR: In this article, the authors developed a new method of sensitivity analysis for large sets of coupled nonlinear equations with many parameters and developed rigorous error bounds for these approximations, where applicable, they showed that the techniques developed in this series of papers provide a useful and efficient method for sensitivity analysis of large systems with multiple parameters.

TL;DR: In this article, the effects of the change of the (geometrical) configuration of the intermediate reaction complex during reaction and of the electronic vibrational coupling on these correlations have been considered in detail.

TL;DR: In this paper, the sensitivity analysis presented in this paper is nonlinear and thus permits one to study the effects of large deviations from the nominal parameter values, and since all parameters are varied simultaneously, one can explore regions of parameter space where several parameters deviate simultaneously from their nominal values.