Some Aspects of the Forward Method for High-Order Sensitivity Analysis

The “forward method” for sensitivity analysis was applied for high-order problems. The problems considered are those in which the state vector and the responses are nonlinear functions of the input parameters and/ or the modeling parameters. High-order sensitivities were obtained for both the homogeneous and inhomogeneous cases. For the inhomogeneous cases the usefulness of the “Green’s vector” was demonstrated. An example from reactor theory is presented.