• Discretization of Inherent ODEs and the Geometric Integration of DAEs with Symmetries 

      [OWP-2022-10] Kunkel, Peter; Mehrmann, Volker (Mathematisches Forschungsinstitut Oberwolfach, 2022-06-08)
      Discretization methods for differential-algebraic equations (DAEs) are considered that are based on the integration of an associated inherent ordinary differential equation (ODE). This allows to make use of any discretization ...
    • Local and Global Canonical Forms for Differential-Algebraic Equations with Symmetries 

      [OWP-2022-05] Kunkel, Peter; Mehrmann, Volker (Mathematisches Forschungsinstitut Oberwolfach, 2022-02-21)
      Linear time-varying differential-algebraic equations with symmetries are studied. The structures that we address are self-adjoint and skew-adjoint systems. Local and global canonical forms under congruence are presented ...
    • Self-adjoint differential-algebraic equations 

      [OWP-2011-27] Kunkel, Peter; Mehrmann, Volker; Scholz, Lena (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-24)
      Motivated from linear-quadratic optimal control problems for differential-algebraic equations (DAEs), we study the functional analytic properties of the operator associated with the necessary optimality boundary value ...