dae()

template<typename F , typename T_yy , typename T_yp , typename... T_Args, require_all_eigen_col_vector_t< T_yy, T_yp > * = nullptr>

std::vector< Eigen::Matrix< stan::return_type_t< T_yy, T_yp, T_Args... >, -1, 1 > > stan::math::dae	(	const F &	f,
		const T_yy &	yy0,
		const T_yp &	yp0,
		double	t0,
		const std::vector< double > &	ts,
		std::ostream *	msgs,
		const T_Args &...	args
	)

Solve the DAE initial value problem f(t, y, y')=0, y(t0) = yy0, y'(t0)=yp0 at a set of times, { t1, t2, t3, ... } using IDAS, assuming default controls (relative tol, absolute tol, max number of steps) = (1.e-10, 1.e-10, 1e8).

f must define an operator() with the signature as: template<typename T_yy, typename T_yp, typename... T_Args> Eigen::Matrix<stan::return_type_t<T_yy, T_yp, T_Args...>, Eigen::Dynamic, 1> operator()(double t, const Eigen::Matrix<T_yy, Eigen::Dynamic, 1>& yy, const Eigen::Matrix<T_yp, Eigen::Dynamic, 1>& yp, std::ostream* msgs, const T_Args&... args);

t is the time, yy the vector-valued state, yp the vector-valued state derivative, msgs a stream for error messages, and args the optional arguments passed to the DAE solve function (which are passed through to f without modification).

Template Parameters

F	Type of DAE residual functor
T_yy0	Type of initial state
T_yp0	Type of initial state derivatives
T_Args	Types of pass-through parameters

Parameters

	f	DAE residual functor
	yy0	Initial state
	yp0	Initial state derivatives
	t0	Initial time
	ts	Times at which to solve the DAE at. All values must be sorted and not less than t0.
[in,out]	msgs	the print stream for warning messages
	args	Extra arguments passed unmodified through to DAE right hand side

Returns

Solution to DAE at times ts

Definition at line 167 of file dae.hpp.