@article{Meyerhoefer2006, author = {Meyerh{\"o}fer, Wolfram}, title = {PISA und Co. als kulturindustrielle Ph{\"a}nomene}, isbn = {978-388120-428-6}, year = {2006}, language = {de} } @book{Karp2006, author = {Karp, Lavi}, title = {On null quadrature domains}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {17 S.}, year = {2006}, language = {en} } @book{KrupchykTarkhanovTuomela2006, author = {Krupchyk, K. and Tarkhanov, Nikolai Nikolaevich and Tuomela, J.}, title = {Elliptic quasicomplexes in boutet de monvel algebra}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {24 S.}, year = {2006}, language = {en} } @book{MaergoizTarkhanov2006, author = {Maergoiz, L. and Tarkhanov, Nikolai Nikolaevich}, title = {Optimal recovery from finite set in banach spaces of entire functions}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {16 S.}, year = {2006}, language = {en} } @phdthesis{Schopka2006, author = {Schopka, Sven}, title = {Noncommutative Einstein Manifolds}, address = {Potsdam}, pages = {vi, 94 S. : graph. Darst.}, year = {2006}, language = {en} } @book{DenkKrainer2006, author = {Denk, Robert and Krainer, Thomas}, title = {R-Boundedness, pseudodifferential operators and maximal regularity for some classes of partial differential operators}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {21 S.}, year = {2006}, language = {en} } @book{BrauerKarp2006, author = {Brauer, Uwe and Karp, Lavi}, title = {Local existence of classical solutions for the Einstin-Euler system using weighted Sobolev spaces of fractional order}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {12 S.}, year = {2006}, language = {en} } @phdthesis{Dimitrova2006, author = {Dimitrova, Ilinka}, title = {Green{\"i}s equivalences on some classes of transformation semigroups}, address = {Potsdam}, pages = {ix, 91 Bl. : graph. Darst.}, year = {2006}, language = {en} } @article{BlanchardKawanabeSugiyamaetal.2006, author = {Blanchard, Gilles and Kawanabe, Motoaki and Sugiyama, Masashi and Spokoiny, Vladimir G. and M{\"u}ller, Klaus-Robert}, title = {In search of non-Gaussian components of a high-dimensional distribution}, issn = {1532-4435}, year = {2006}, abstract = {Finding non-Gaussian components of high-dimensional data is an important preprocessing step for efficient information processing. This article proposes a new linear method to identify the '' non-Gaussian subspace '' within a very general semi-parametric framework. Our proposed method, called NGCA (non-Gaussian component analysis), is based on a linear operator which, to any arbitrary nonlinear (smooth) function, associates a vector belonging to the low dimensional non-Gaussian target subspace, up to an estimation error. By applying this operator to a family of different nonlinear functions, one obtains a family of different vectors lying in a vicinity of the target space. As a final step, the target space itself is estimated by applying PCA to this family of vectors. We show that this procedure is consistent in the sense that the estimaton error tends to zero at a parametric rate, uniformly over the family, Numerical examples demonstrate the usefulness of our method}, language = {en} } @article{FrankMooreReich2006, author = {Frank, Jason and Moore, Brian E. and Reich, Sebastian}, title = {Linear PDEs and numerical methods that preserve a multisymplectic conservation law}, issn = {1064-8275}, doi = {10.1137/050628271}, year = {2006}, abstract = {Multisymplectic methods have recently been proposed as a generalization of symplectic ODE methods to the case of Hamiltonian PDEs. Their excellent long time behavior for a variety of Hamiltonian wave equations has been demonstrated in a number of numerical studies. A theoretical investigation and justification of multisymplectic methods is still largely missing. In this paper, we study linear multisymplectic PDEs and their discretization by means of numerical dispersion relations. It is found that multisymplectic methods in the sense of Bridges and Reich [Phys. Lett. A, 284 ( 2001), pp. 184-193] and Reich [J. Comput. Phys., 157 (2000), pp. 473-499], such as Gauss-Legendre Runge-Kutta methods, possess a number of desirable properties such as nonexistence of spurious roots and conservation of the sign of the group velocity. A certain CFL-type restriction on Delta t/Delta x might be required for methods higher than second order in time. It is also demonstrated by means of the explicit midpoint method that multistep methods may exhibit spurious roots in the numerical dispersion relation for any value of Delta t/Delta x despite being multisymplectic in the sense of discrete variational mechanics [J. E. Marsden, G. P. Patrick, and S. Shkoller, Commun. Math. Phys., 199 (1999), pp. 351-395]}, language = {en} }