This paper presents a review of all existing discrete methods for computing the derivatives of
computational models within a unified mathematical framework. This framework hinges on a …

This article addresses the delicate issue of estimating physical uncertainties in
aerodynamics. Usually, flow simulations are performed in a fully deterministic approach …

We discuss computing first derivatives for models based on elements, such as large-scale
finite-element PDE discretizations, implemented in the C++ programming language. We use …

Within the multibody systems literature, few attempts have been made to use automatic
differentiation for solving forward multibody dynamics and evaluating its computational …

We present a new tool, ADIC2, for automatic differentiation (AD) of C and C++ code through
source-to-source transformation. ADIC2 is the successor of the ADIC differentiation tool …

In numerical reservoir simulations, Newton's method is a concise, robust and, perhaps the
most commonly used method to solve nonlinear partial differential equations (PDEs) …

A new stand-alone object-oriented automatic differentiation (AD) tool for FORTRAN 95
codes is presented for facilitating the development of implicit solutions of PDEs. Five …

El diseño y desarrollo de sistemas de suspensión para vehículos se basa cada día más en
el diseño por ordenador y en herramientas de análisis por ordenador, las cuales permiten …

The possibility to compute first-and second-derivatives of functionals subject to equality
constraints given by state equations (and in particular non-linear systems of Partial …

Derivatives play a central role in sensitivity analysis (model validation), inverse problems
(data assimilation), and design optimization (simulation parameter choice). At a more …