Module Idas

Sensitivity analysis (forward and adjoint) and quadrature equations for IDA.

These submodules extend basic state equations, $F(t, y, \dot{y}) = 0$, with parameters $p$ and quadrature variables $y_Q$. The former exposes a new dependency, $F(t, y, \dot{y}, p) = 0$, relative to which the sensitivity of a solution can be approximated. The latter introduces an efficient means to calculate a subset of variables defined by ODEs: $\dot{y}_Q = f_Q(t, y, \dot{y}, p)$.