RT Journal Article ID 1a79e4be7994d5d5 A1 Pulch, Roland T1 POLYNOMIAL CHAOS FOR SEMIEXPLICIT DIFFERENTIAL ALGEBRAIC EQUATIONS OF INDEX 1 JF International Journal for Uncertainty Quantification JO IJUQ YR 2013 FD 2012-09-05 VO 3 IS 1 SP 1 OP 23 K1 differential algebraic equation K1 index K1 polynomial chaos K1 stochastic collocation method K1 stochastic Galerkin method K1 uncertainty quantification AB Mathematical modeling of technical applications often yields systems of differential algebraic equations. Uncertainties of physical parameters can be considered by the introduction of random variables. A corresponding uncertainty quantification requires one to solve the stochastic model. We focus on semiexplicit systems of nonlinear differential algebraic equations with index 1. The stochastic model is solved using the expansion of the generalised polynomial chaos. We investigate both the stochastic collocation technique and the stochastic Galerkin method to determine the unknown coefficient functions. In particular, we analyze the index of the larger coupled systems, which result from the stochastic Galerkin method. Numerical simulations of test examples are presented, where the two approaches are compared with respect to their efficiency. PB Begell House LK https://www.dl.begellhouse.com/journals/52034eb04b657aea,645a65d93cf86050,1a79e4be7994d5d5.html