TY - GEN A1 - Scholz, Lena T1 - A Derivative Array Approach for Linear Second Order Differential-Algebraic Systems N2 - We discuss the solution of linear second order differential-algebraic equations with variable coefficients. Since index reduction and order reduction for higher order higher index differential-algebraic systems do not commute, appropriate index reduction methods for higher order DAEs are required. We present an index reduction method based on derivative arrays that allows to determine an equivalent second order system of lower index in a numerical computable way. For such an equivalent second order system an appropriate order reduction method allows to formulate a suitable first order DAE system of low index that has the same solution components as the original second order system. KW - differential-algebraic equation KW - second order system KW - index reduction KW - order reduction KW - strangeness index KW - strangeness-free system Y1 - 2008 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/533 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-5330 ER -