The adjoint method is used for high-fidelity aerodynamic shape optimization and is an
efficient approach for computing the derivatives of a function of interest with respect to a …

We present CasADi, an open-source software framework for numerical optimization. CasADi
is a general-purpose tool that can be used to model and solve optimization problems with a …

Multidisciplinary design optimization (MDO) is concerned with solving design problems
involving coupled numerical models of complex engineering systems. While various MDO …

One of the most effective methods for nonlinearly constrained optimization generates steps
by solving quadratic subproblems. This sequential quadratic programming (SQP) approach …

The advent of high-speed computers and sophisticated software tools has made the
computation of derivatives for functions defined by evaluation programs both easier and …

This is a book for people interested in solving optimization problems. Because of the wide
(and growing) use of optimization in science, engineering, economics, and industry, it is …

We present CasADi, a free, open-source software tool for fast, yet efficient solution of
nonlinear optimization problems in general and dynamic optimization problems in particular …

Using backpropagation to compute gradients of objective functions for optimization has
remained a mainstay of machine learning. Backpropagation, or reverse-mode differentiation …

“How sensitive are the values of the outputs of my computer program with respect to
changes in the values of the inputs? How sensitive are these first-order sensitivities with …

We present the latest developments of our High-Order Spectral Element Solver (Image 1),
an open source high-order discontinuous Galerkin framework, capable of solving a variety of …