@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} } @misc{LeimkuhlerReich1994, author = {Leimkuhler, Benedict and Reich, Sebastian}, title = {Symplectic integration of constrained Hamiltonian systems}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-15653}, year = {1994}, abstract = {A Hamiltonian system in potential form (formula in the original abstract) subject to smooth constraints on q can be viewed as a Hamiltonian system on a manifold, but numerical computations must be performed in Rn. In this paper methods which reduce "Hamiltonian differential algebraic equations" to ODEs in Euclidean space are examined. The authors study the construction of canonical parameterizations or local charts as well as methods based on the construction of ODE systems in the space in which the constraint manifold is embedded which preserve the constraint manifold as an invariant manifold. In each case, a Hamiltonian system of ordinary differential equations is produced. The stability of the constraint invariants and the behavior of the original Hamiltonian along solutions are investigated both numerically and analytically.}, language = {en} } @misc{AscherChinPetzoldetal.1994, author = {Ascher, Uri M. and Chin, Hongsheng and Petzold, Linda R. and Reich, Sebastian}, title = {Stabilization of constrained mechanical systems with DAEs and invariant manifolds}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-15698}, year = {1994}, abstract = {Many methods have been proposed for the simulation of constrained mechanical systems. The most obvious of these have mild instabilities and drift problems. Consequently, stabilization techniques have been proposed A popular stabilization method is Baumgarte's technique, but the choice of parameters to make it robust has been unclear in practice. Some of the simulation methods that have been proposed and used in computations are reviewed here, from a stability point of view. This involves concepts of differential-algebraic equation (DAE) and ordinary differential equation (ODE) invariants. An explanation of the difficulties that may be encountered using Baumgarte's method is given, and a discussion of why a further quest for better parameter values for this method will always remain frustrating is presented. It is then shown how Baumgarte's method can be improved. An efficient stabilization technique is proposed, which may employ explicit ODE solvers in case of nonstiff or highly oscillatory problems and which relates to coordinate projection methods. Examples of a two-link planar robotic arm and a squeezing mechanism illustrate the effectiveness of this new stabilization method.}, language = {en} } @misc{Reich1994, author = {Reich, Sebastian}, title = {Momentum conserving symplectic integrators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-16824}, year = {1994}, abstract = {In this paper, we show that symplectic partitioned Runge-Kutta methods conserve momentum maps corresponding to linear symmetry groups acting on the phase space of Hamiltonian differential equations by extended point transformation. We also generalize this result to constrained systems and show how this conservation property relates to the symplectic integration of Lie-Poisson systems on certain submanifolds of the general matrix group GL(n).}, language = {en} } @book{Schmidt1994, author = {Schmidt, Hans-J{\"u}rgen}, title = {Why do all the curvature invariants of a gravitational wave vanish?}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 03}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {7 Bl.}, year = {1994}, language = {en} } @book{JonasLanger1994, author = {Jonas, Peter and Langer, Heinz}, title = {Selfadjoint extensions of a closed linear realtion of defect one in a Krein space. Universit{\"a}t Potsdam, Fachbereich Mathematik}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 17}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {35 Bl.}, year = {1994}, language = {de} } @book{DahlkeMaass1994, author = {Dahlke, Stephan and Maaß, Peter}, title = {The affine uncertainty principle in one and two dimensions}, series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, volume = {1994, 01}, journal = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {17 Bl.}, year = {1994}, language = {en} } @book{Wollenberg1994, author = {Wollenberg, Manfred}, title = {On an inverse problem in modular theory}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 07}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {14 S.}, year = {1994}, language = {en} } @book{DahlkeMaass1994, author = {Dahlke, Stephan and Maaß, Peter}, title = {A continuous wavelet transform on tangent bundles of spheres}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 16}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {18 Bl.}, year = {1994}, language = {en} } @book{Quaisser1994, author = {Quaisser, Erhard}, title = {Die Symmetriestruktur von Figuren}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 08}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, address = {Potsdam}, pages = {18 S.}, year = {1994}, language = {de} } @book{Kasper1994, author = {Kasper, Uwe}, title = {On first class sonstraints of simple cosmological models in Einstein's gravity theory}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 10}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {11 Bl.}, year = {1994}, language = {en} } @book{Schmidt1994, author = {Schmidt, Hans-J{\"u}rgen}, title = {Stability and Hamiltonian formulation of higher derivative theories}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 04}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {37 Bl.}, year = {1994}, language = {en} } @book{ReuterSchmidt1994, author = {Reuter, Stefan and Schmidt, Hans-J{\"u}rgen}, title = {Klassisch konform{\"a}quivalente Gravitationstheorien und deren korrespondierende Wheeler-de-Witt-Gleichungen}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 05}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {17 S.}, year = {1994}, language = {de} } @book{Rainer1994, author = {Rainer, Martin}, title = {Conformal minisuperspace quantization and equivalence of multidimensional classical and quantum models : lecuture presented at the International Conference on Multidimensional Cosmology, Jaroslavl, June 20-26, 1994}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 09}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {20 Bl.}, year = {1994}, language = {en} } @article{Alpers1994, author = {Alpers, Karsten}, title = {{\"U}ber zweidimensionale diskrete Bewegungsgruppen der pseudoeuklidischen Ebene}, year = {1994}, language = {de} } @book{Baumgaertel1994, author = {Baumg{\"a}rtel, Hellmut}, title = {A modified approach to the Doplicher-Roberts theorem on the construction of field algebra and the symmetry group in superselection theory}, series = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik}, volume = {134}, journal = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik}, address = {Berlin}, pages = {33 S.}, year = {1994}, language = {en} } @book{Boelling1994, author = {B{\"o}lling, Reinhard}, title = {Das Fotoalbum f{\"u}r Weierstraß = A photoalbum for Weierstrass}, publisher = {Vieweg}, address = {Braunschweig [u.a.]}, pages = {128 S.}, year = {1994}, language = {de} } @article{Boelling1994, author = {B{\"o}lling, Reinhard}, title = {Karl Weierstraß - Stationen eines Lebens}, year = {1994}, language = {de} } @book{Kasper1994, author = {Kasper, Uwe}, title = {On the Hamilton formalism for cosmological models in fourth order gravity theories}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 11}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, address = {Potsdam}, year = {1994}, language = {en} } @book{NeidhardtZagrebnov1994, author = {Neidhardt, Hagen and Zagrebnov, Valentin A.}, title = {Mathematical results in quantum mechanics : international conference in Blossin (Germany), May 17 - 21, 1993}, series = {Operator Theory}, volume = {70}, journal = {Operator Theory}, editor = {Demuth, Michael and Exner, Pavel}, publisher = {Birkh{\"a}user}, address = {Basel}, pages = {X, 356 S.}, year = {1994}, language = {en} } @article{GaehlerGaehler1994, author = {G{\"a}hler, Siegfried and G{\"a}hler, Werner}, title = {Fuzzy real numbers}, year = {1994}, language = {en} } @article{Gaehler1994, author = {G{\"a}hler, Werner}, title = {Die Theorie der Kontinua : ein Gebiet, in dem die Anschauung teilweise versagt}, year = {1994}, language = {de} } @article{SchmidtBaierBleyeretal.1994, author = {Schmidt, Hans-J{\"u}rgen and Baier, Frank W. and Bleyer, Ulrich and Hubrig, Swetlana and Meister, Claudia-Veronika and Schilbach, Elena and Tiersch, Heinz}, title = {Zum Wissenschaftler-Integrationsprogramm}, year = {1994}, language = {de} } @article{LouisMaassRiederetal.1994, author = {Louis, Alfred K. and Maaß, Peter and Rieder, Andreas and Stark, H.-G.}, title = {Wavelets and digital image processing}, year = {1994}, language = {en} } @article{JaksicJungKleinetal.1994, author = {Jaksic, V. and Jung, K. and Klein, Markus and Seiler, R.}, title = {Corrections to quantized charge transport in quantum hall systems}, year = {1994}, language = {en} } @book{BaumgaertelJurkeLledo1994, author = {Baumg{\"a}rtel, Hellmut and Jurke, Matthias and Lled{\´o}, Fernando}, title = {A remark on covariant and causal nets of CAR-resp.CCR-type local algebras assigned to the irreducible unitary representation of the poincare group labeled by (m>0, s, +)}, series = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik}, volume = {120}, journal = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik}, address = {Berlin}, year = {1994}, language = {en} } @article{JahnkeWippermann1994, author = {Jahnke, Thomas and Wippermann, Christina}, title = {Vern{\"u}nftig bremsen und rechnen! : zehn Aufgaben f{\"u}r Bahn-, Auto- und Radfahrer}, year = {1994}, language = {de} } @article{JahnkeWippermann1994, author = {Jahnke, Thomas and Wippermann, Christina}, title = {Weg, Geschwindigkeit und Beschleunigung im Mathematikunterricht}, year = {1994}, language = {de} } @article{Klein1994, author = {Klein, Markus}, title = {Hall conductance of Riemann surfaces}, year = {1994}, language = {en} } @article{Klotzek1994, author = {Klotzek, Benno}, title = {Diskontinuierliche Bewegungsgruppen verschiedenen Grades in metrischen R{\"a}umen}, year = {1994}, language = {de} } @misc{Klotzek1994, author = {Klotzek, Benno}, title = {Falkner, N., A characterization of inner product spaces}, year = {1994}, language = {en} } @misc{Klotzek1994, author = {Klotzek, Benno}, title = {Stammler, L., Einige Themen im Zusammenhang mit rasterbezogenem Approximieren}, year = {1994}, language = {de} } @misc{Klotzek1994, author = {Klotzek, Benno}, title = {St{\"a}rk, R., Beispiele zur Anwendung eines Computeralgebrasystems in der Geometrie}, year = {1994}, language = {de} } @book{BaumgaertelJurkeLledo1994, author = {Baumg{\"a}rtel, Hellmut and Jurke, Matthias and Lled{\´o}, Fernando}, title = {Mathematische Strukturen passen auf die Natur : Reflexionen {\"u}ber das Wechselverh{\"a}ltnis von Mathematik und Physik}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 18}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, year = {1994}, language = {de} } @book{QuaisserWendland1994, author = {Quaisser, Erhard and Wendland, Horst}, title = {Seminar zur Darstellenden Geometrie : Skripte}, publisher = {Univ.}, address = {Potsdam}, pages = {21 S.}, year = {1994}, language = {de} } @book{Schmidt1994, author = {Schmidt, Hans-J{\"u}rgen}, title = {An alternate Hamiltonian formulation of fourth-order theories}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 12}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, year = {1994}, language = {en} } @book{Quaisser1994, author = {Quaisser, Erhard}, title = {Symmetrie und Symmetriegruppen in der Geometrie : Skripte}, publisher = {Univ.}, address = {Potsdam}, pages = {36 S.}, year = {1994}, language = {de} } @phdthesis{Reichel1994, author = {Reichel, Mario}, title = {Bi-Homonorphismen und Hyperidentit{\"a}ten}, publisher = {Univ.}, address = {Potsdam}, pages = {VI, 132, III Bl.}, year = {1994}, language = {de} } @phdthesis{Rainer1994, author = {Rainer, Martin}, title = {The topology of the space of real LIE algebras up to dimension 4 with applications to homogeneous cosmological models}, publisher = {Univ.}, pages = {93 S.}, year = {1994}, language = {en} } @book{LouisMaassRieder1994, author = {Louis, Alfred K. and Maaß, Peter and Rieder, Andreas}, title = {Wavelets : Theorie und Anwendungen}, publisher = {Teubner}, address = {Stuttgart}, pages = {315 S.}, year = {1994}, language = {de} } @article{Maass1994, author = {Maaß, Peter}, title = {Wavelet galerkin methods for inverse problems}, year = {1994}, language = {en} } @article{NeidhardtZagrebnov1994, author = {Neidhardt, Hagen and Zagrebnov, Valentin A.}, title = {Singular perturbations, regularization and extension theory}, year = {1994}, language = {en} } @book{Quaisser1994, author = {Quaisser, Erhard}, title = {Bewegungsgeometrische Sachverhalte im Raum - unterrichtsrelevant? : Geometrieworkshop, Universit{\"a}t Greifswald, 30.05. - 01.06.1994 ; erweiterter Vortragsauszug}, publisher = {Univ.}, address = {Greifswald}, pages = {6 S.}, year = {1994}, language = {de} }