**References**

DAETS is based on the structural analysis theory for DAEs developed by J.D. Pryce. This theory is presented in

- John D. Pryce. Solving high-index DAEs by Taylor Series. Numerical Algorithms, 1, 195-211, 1998.
- John D. Pryce. A simple structural analysis method for DAEs. BIT, 41(2), 364-384, 2001.

The algorithms behind DAETS are developed in

- N.S. Nedialkov and J.D. Pryce. Solving differential-algebraic equations by Taylor series (I): Computing Taylor coefficients. BIT 45(3), 561-591.
- N.S. Nedialkov and J.D. Pryce. Solving differential-algebraic equations by Taylor series (II): Computing the System Jacobian. BIT 47(1), 121-135, 2007.
- N.S. Nedialkov and J.D. Pryce. Solving differential-algebraic equations by Taylor series (III): The DAETS code. J. Numerical Analysis, Industrial and Applied Mathematics, 3, 61-80, 2008.