This is an old version, view current version.

16.1 Notation

A DAE is defined by a set of expressions for the residuals of differential equations and algebraic equations $r(y', y, t, \theta)$, and consistent initial conditions $y(t_0, \theta) = y_0, y'(t_0, \theta)=y'_0$. The DAE is define by residual function as $r(y', y, t, \theta)=0$. The $\theta$ dependence is included in the notation to highlight that the solution $y(t)$ is a function of any parameters used in the computation.