@article{Baumgaertel1993, author = {Baumg{\"a}rtel, Hellmut}, title = {Laudatio Hans Kaiser}, year = {1993}, language = {de} } @article{Junek1993, author = {Junek, Heinz}, title = {Factorization of operator ideals and the BB-property}, year = {1993}, language = {en} } @article{Denecke1994, author = {Denecke, Klaus-Dieter}, title = {On the characterization of primal partial algebras by strong regular hyperidentities}, year = {1994}, language = {en} } @article{DeneckeHalkowska1994, author = {Denecke, Klaus-Dieter and Halkowska, Katarzcyna}, title = {P-compatible hybrid-identities and hyperidentities}, year = {1994}, language = {en} } @article{DeneckeMalcev1994, author = {Denecke, Klaus-Dieter and Malcev, I. A.}, title = {Separation of clones by means of hyperidentities}, year = {1994}, language = {en} } @article{DeneckeWismath1994, author = {Denecke, Klaus-Dieter and Wismath, Shelly}, title = {Solid varieties of semigroups}, year = {1994}, language = {en} } @article{DeneckeKoppitz1994, author = {Denecke, Klaus-Dieter and Koppitz, J{\"o}rg}, title = {Hyperassociative semigroups}, year = {1994}, language = {en} } @article{Denecke1994, author = {Denecke, Klaus-Dieter}, title = {Pre-solid varieties}, year = {1994}, language = {en} } @book{DeneckeTodorov1994, author = {Denecke, Klaus-Dieter and Todorov, Kalco}, title = {Algebraische Grundlagen der Arithmetik}, series = {Berliner Studienreihe zur Mathematik}, volume = {4}, journal = {Berliner Studienreihe zur Mathematik}, publisher = {Heldermann}, address = {Berlin}, pages = {VIII, 200 S.}, year = {1994}, language = {de} } @misc{AscherChinReich1994, author = {Ascher, Uri M. and Chin, Hongsheng and Reich, Sebastian}, title = {Stabilization of DAEs and invariant manifolds}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-15625}, year = {1994}, abstract = {Many methods have been proposed for the stabilization of higher index differential-algebraic equations (DAEs). Such methods often involve constraint differentiation and problem stabilization, thus obtaining a stabilized index reduction. A popular method is Baumgarte stabilization, but the choice of parameters to make it robust is unclear in practice. Here we explain why the Baumgarte method may run into trouble. We then show how to improve it. We further develop a unifying theory for stabilization methods which includes many of the various techniques proposed in the literature. Our approach is to (i) consider stabilization of ODEs with invariants, (ii) discretize the stabilizing term in a simple way, generally different from the ODE discretization, and (iii) use orthogonal projections whenever possible. The best methods thus obtained are related to methods of coordinate projection. We discuss them and make concrete algorithmic suggestions.}, language = {en} }