... the analysis and numerical solution of PDAEsbecause of their importance in various applications, such as plasma physics, magneto hydro dynamics,electrical, mechanical and chemical engineering, ... Albarreal, M.C. Calzada, J.L. Cruz, E. Fern´andez-Cara, M. Mari´n, Stability and Convergence of a ParallelFractional Step Method for the Solution of Linear Parabolic Problems, Applied Mathematics ... Differential-algebraic equation (DAE), partial differential-algebraic equation (PDAE),nonnegative pencil of matrices, parallel method1. IntroductionRecently there has been a growing interest in the...