10:30 AM-12:30 PM
Room: Sidney Smith 2108
Computational Differentiation allows the accurate and efficient determination of first- and higher order derivatives of functions represented by computer code. However, when the flow control of the code itself depends on certain intermediate values of variables, this paradigm formally breaks down and incorrect results may occur. Important cases are the computational differentiation through ODE- and PDE solvers in order to determine dependencies on initial conditions or parameters.
The speakers will give an overview of the current state of computational differentiation, including experiences with differentiation in ODEs, and review some conventional verified schemes for integration of ODEs, in particular, they will discuss new algorithms that allow the rigorous determination of dependencies on initial conditions for systems of ODEs are studied.Organizer: Martin Berz