Reducing index method for differential-algebraic equations with constraint singularities

This paper extends an earlier work [Appl. Math. Comput. 140 (2003) 77] to differential-algebraic equations with constraint singularities. Numerical solution of these problems is considered by pseudospectral method with domain decomposition and by giving a condition under which the general linear form problem can easily be transformed to the index reduced form by a simple formulation. Furthermore, with providing some examples, the aforementioned cases are dealt with numerically. 2003 Elsevier Inc. All rights reserved.