Model order reduction for semi-explicit systems of differential algebraic equations

K. Mohaghegh, R. Pulch, M. Striebel, E.J.W. Maten, ter

    Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

    1 Downloads (Pure)

    Samenvatting

    Increasing complexity of mathematical models demands techniques of model order reduction (MOR) that enable an efficient numerical simulation. For example, network approaches yield systems of differential algebraic equations (DAEs) in electric circuit simulation. Thereby, miniaturization and increasing packing densities result in extremely large DAE systems. MOR methods are well developed for linear systems of ordinary differential equations (ODEs), whereas the nonlinear case represents still an open field of research. We consider MOR for semi-explicit systems of DAEs. Techniques for ODEs can be generalized to semi-explicit DAEs by a direct or an indirect approach. In the direct approach, we introduce artificial parameters in the system. Accordingly, MOR methods for ODEs can be applied to the regularized system. Numerical simulations using the constructed MOR strategies are presented.
    Originele taal-2Engels
    TitelProceedings 6th Vienna International Conference on Mathematical Modeling (MATHMOD'09, Vienna, Austria, February 11-13, 2009)
    RedacteurenI. Troch, F. Breitenecker
    Plaats van productieWien
    UitgeverijArbeitsgemeinschaft Simulation, TU Wien
    Pagina's1256-1265
    ISBN van geprinte versie978-3-901608-35-3
    StatusGepubliceerd - 2009

    Publicatie series

    NaamARGESIM Report
    Volume35

    Vingerafdruk Duik in de onderzoeksthema's van 'Model order reduction for semi-explicit systems of differential algebraic equations'. Samen vormen ze een unieke vingerafdruk.

  • Citeer dit

    Mohaghegh, K., Pulch, R., Striebel, M., & Maten, ter, E. J. W. (2009). Model order reduction for semi-explicit systems of differential algebraic equations. In I. Troch, & F. Breitenecker (editors), Proceedings 6th Vienna International Conference on Mathematical Modeling (MATHMOD'09, Vienna, Austria, February 11-13, 2009) (blz. 1256-1265). (ARGESIM Report; Vol. 35). Arbeitsgemeinschaft Simulation, TU Wien.