An Intrusive Method for the Uncertainty Propagation

Abstract

Models of physical processes like particle scattering often require adjusted parameters to t experimental data. These parameters are basically uncertain and this feature spreads through the model down to the solution. In this study, an intrusive method of uncertainty propagation, based on Galerkin projection over chaos polynomials, is proposed for optical model calculations. This provides a way to evaluate the uncertainty of the solution induced by the uncertain parameters of the Wood-Saxon potential used form. We employ generalized polynomial chaos expansions (PCE) to express the random response of the optical model and obtain a set of deterministic coupled equations for the expansion coecients by Galerkin projection. We justify the use of the Cowell method to solve this system in a decoupled fashion. Several moments of the solution are re-built. We provide an illustration of these method for the n+Y 89 system.