We present a general method of solving differential-algebraic equations by expanding the solution as a Taylor series. It seems especially suitable for ...

We present a general method of solving differential-algebraic equations by expanding the solution as a Taylor series. It seems especially suitable for ...

We present a method of solving smooth DAEs by expanding the solution as a. Taylor series (TS). The method involves a pre-analysis stage where one solves an.

This paper describes and justifies the method used in DAETS to compute Taylor coefficients (TCs) using automatic differentiation, and proves that either the ...

Index-5, Two-pendula Example. An artificial problem to show we can solve high-index DAEs. 0 = x00 + xλ. 0 = y00 + yλ − g. 0 = x. 2. + y. 2. − L. 2. 0 = u00 + uκ.

Abstract: The authors have developed a Taylor series method for solving numerically an initial-value problem differential algebraic equation (DAE) that can ...

Abstract. This paper is one of a series underpinning the authors' DAETS code for solving. DAE initial value problems by Taylor series expansion.

J.D. Pryce and N.S. Nedialkov have developed a Taylor series method and a C++ package, DaeTs, for solving numerically an initial-value problem differential ...

May 1, 2010 · Only two differentiations are needed: a differentiation to compute the Jacobian matrix of the DAE and second one to realize the matrix sequence.

The authors have developed a Taylor series method for solving numerically an initial-value problem differential algebraic equation (DAE) that can be of high ...