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...Bit c submitted august pp xxx swets zealander solving differential algebraic equationsbytaylorseries ii computingthesystemjacobian nedialko s nedialkov and john d pryce department of computing software mcmaster university hamilton ontario ls l canada email nedialk ca computer information systems engineering craneld rmcs shrivenham swindon sn la uk ac abstract theauthorshavedevelopedataylorseriesmethodforsolvingnumerically an initial value problem dierential equation dae that can be high index order nonlinear fully implicit accepted july numerical results have shown this method is ecient very accurate moreover it particularly suitable for problems are too present solvers paper develops eective a system jacobian which needed in the structural analysis computation taylor coecients our involves preprocessing code generation em ploying automatic dierentiation theory algorithms presented operator overloading approach to also dis cussed amssubject classication key words equations daes se ries...