@article{BoeckmannBrueckner2001, author = {B{\"o}ckmann, Christine and Br{\"u}ckner, Axel}, title = {100 years of the Runge-Kutta method : a brief editing for schools}, issn = {0268-3679}, year = {2001}, abstract = {This paper reports on the historical development of the Runge-Kutta methods beginning with the simple Euler method up to an embedded 13-stage method. Moreover, the design and the use of those methods under error order, stability and computation time conditions is edited for students of numerical analysis at undergraduate level. The second part presents applications in natural sciences, compares different methods and illustrates some of the difficulties of numerical solutions.}, language = {en} } @article{DzhunushalievSchmidt1999, author = {Dzhunushaliev, Vladimir and Schmidt, Hans-J{\"u}rgen}, title = {2+2-decomposable solutions of weyl gravity}, year = {1999}, language = {en} } @article{GonzalesDiazKasperRainer1998, author = {Gonz{\´a}les-Diaz, P. F. and Kasper, Uwe and Rainer, Martin}, title = {2-Dimensional dilatonic gravity from multidimensional Einstein gravity}, year = {1998}, language = {en} } @book{GonzalesDiazKasperRainer1997, author = {Gonz{\´a}les-Diaz, P. F. and Kasper, Uwe and Rainer, Martin}, title = {2-Dimensional dilatonic gravity from multidimensional Einstein gravity}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1997, 22}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {14 Bl.}, year = {1997}, language = {en} } @article{Schmidt1998, author = {Schmidt, Hans-J{\"u}rgen}, title = {2-dimensional representations of 4-dimensional gravitational waves}, year = {1998}, language = {en} } @article{HoehnkeJohnson1995, author = {Hoehnke, Hans-J{\"u}rgen and Johnson, K. W.}, title = {3-characters are sufficient for the group determinant}, year = {1995}, language = {en} } @article{BoldrighiniFrigioMaponietal.2020, author = {Boldrighini, Carlo and Frigio, Sandro and Maponi, Pierluigi and Pellegrinotti, Alessandro and Sinai, Yakov G.}, title = {3-D incompressible Navier-Stokes equations: Complex blow-up and related real flows}, series = {Lectures in pure and applied mathematics}, journal = {Lectures in pure and applied mathematics}, number = {6}, publisher = {Universit{\"a}tsverlag Potsdam}, address = {Potsdam}, isbn = {978-3-86956-485-2}, issn = {2199-4951}, doi = {10.25932/publishup-47220}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus4-472201}, pages = {185 -- 194}, year = {2020}, language = {en} } @article{DzhunushalievSchmidt1999, author = {Dzhunushaliev, Vladimir and Schmidt, Hans-J{\"u}rgen}, title = {4D wormhole with signature change in the presence of extra dimensions}, series = {General relativity and quantum cosmology : preprints gr-qc}, volume = {9908076}, journal = {General relativity and quantum cosmology : preprints gr-qc}, year = {1999}, language = {en} } @article{MariucciRaySzabo2020, author = {Mariucci, Ester and Ray, Kolyan and Szabo, Botond}, title = {A Bayesian nonparametric approach to log-concave density estimation}, series = {Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability}, volume = {26}, journal = {Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability}, number = {2}, publisher = {International Statistical Institute}, address = {The Hague}, issn = {1350-7265}, doi = {10.3150/19-BEJ1139}, pages = {1070 -- 1097}, year = {2020}, abstract = {The estimation of a log-concave density on R is a canonical problem in the area of shape-constrained nonparametric inference. We present a Bayesian nonparametric approach to this problem based on an exponentiated Dirichlet process mixture prior and show that the posterior distribution converges to the log-concave truth at the (near-) minimax rate in Hellinger distance. Our proof proceeds by establishing a general contraction result based on the log-concave maximum likelihood estimator that prevents the need for further metric entropy calculations. We further present computationally more feasible approximations and both an empirical and hierarchical Bayes approach. All priors are illustrated numerically via simulations.}, language = {en} } @article{Hoehnke1996, author = {Hoehnke, Hans-J{\"u}rgen}, title = {A Birkhoff theorem for partial algebras via completion}, year = {1996}, language = {en} }