Dual number automatic differentiation as applied to two-group cross-section uncertainty propagation

Automatic Differentiation Applied to Economics

This paper discusses the use of the Automatic Differentiation approach in evaluating derivatives of functions represented by computer programs. We then considered a Cournot oligopoly modeled by a system of stochastic differential equations. The setting is that of a set of self-interested firms striving to adjust their productions in the direction of higher profits subject to mistakes or random ...

Assessment Measures in Uncertainty Propagation Analysis Applied to Composite Structures

The uncertainty propagation of composite structures is investigated considering descriptive statistical measures of the response variability. A study based on sensitivity to uncertainty that allows selecting the important parameters using sensitivity indices is presented. The uncertainty propagation and the importance measure of input parameters are analysed using four different approaches: a f...

Automatic Differentiation and Uncertainty Analysis

Interim Reports on work of the International Institute for Applied Systems Analysis receive only limited review. Views or opinions expressed herein do not necessarily represent those of the Institute, its National Member Organizations, or other organizations supporting the work. Abstract This paper aims to give an overview of the possibilities for using automatic differentiation for uncertainty...

Automatic Differentiation for Optimum Design, Applied to Sonic Boom Reduction

New Tools for Automatic Cross Section Calculation

In this contribution the matrix element generator AMEGIC++ will be presented. It automatically generates Feynman diagrams, helicity amplitudes, and suitable phase space mappings for processes involving multi-particle final states within the Standard Model and some of its popular extensions. Due to the rising energy frontier in high-energy collider experiments, potential signals and their backgr...