Alle Preprints des Instituts für Mathematik

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2021

Gabriele Eichfelder and Patrick Groetzner
A note on completely positive relaxations of quadratic problems in a multiobjective framework

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Veronika Auer-Volkmann, Lisa Beck and Bernd Schmidt
Eigendamage: an Eigendeformation model for the variational approximation of cohesive fracture - a one-dimensional case study

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Lisa Beck, Daniel Matthes and Martina Zizza
Exponential convergence to equilibrium for coupled systems of nonlinear degenerate drift diffusion equations

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Michael Hinz, Jonas M. Tölle and Lauri Viitasaari
Sobolev regularity of occupation measures and paths, variability and compositions

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Florian Seib, Wilhelm Stannat and Jonas M. Tölle
Stability and moment estimates for the stochastic singular Φ-Laplace equation

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Mario Santilli and Bernd Schmidt
Two phase models for elastic membranes with soft inclusions

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2020

Théophile Chaumont-Frelet and Barbara Verfürth
A generalized finite element method for problems with sign-changing coefficients

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Lisa Beck and Panu Lahti
A note on the weak* and pointwise convergence of BV functions

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Manuel Amann and Andreas Kollross
Equivariant formality of the isotropy action on ℤ2⊕ℤ2-symmetric spaces

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Martin Jesenko and Bernd Schmidt
Geometric linearization of theories for incompressible elastic materials and applications

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Manuel Amann
Homology versus homotopy in fibrations and in limits

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Michael Hinz, Jonas M. Tölle and Lauri Viitasaari
Variability of paths and differential equations with BV-coefficients

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2019

Julian Braun and Bernd Schmidt
An atomistic derivation of von-Kármán plate theory

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Tobias Harks and Anja Schedel
Capacity and price competition in markets with congestion effects

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Daniel Peterseim and Barbara Verfürth
Computational high frequency scattering from high contrast heterogeneous media

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Robert Altmann and Christoph Zimmer
Exponential integrators for semi-linear parabolic problems with linear constraints

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Elena Perfilev and Vitali Wachtel
Local tail asymptotics for the joint distribution of length and of maximum of a random walk excursion

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Robert Altmann and Daniel Peterseim
Localized computation of eigenstates of random Schrödinger operators

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Barbara Verfürth
Numerical homogenization for non-linear monotone elliptic problems

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Manuel Amann and Masoumeh Zarei
On the equivariant cohomology of cohomogeneity one Alexandrov spaces

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Robert Altmann and M. Froidevaux
PDE eigenvalue iterations with applications in two-dimensional photonic crystals

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Alfonso Caiazzo, Roland Maier and Daniel Peterseim
Reconstruction of quasi-local numerical effective models from low-resolution measurements

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Manuel Amann and Leopold Zoller
The Toral Rank Conjecture and variants of equivariant formality

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Erika Hausenblas and Jonas M. Tölle
The stochastic Klausmeier system and a stochastic Schauder-Tychonoff type theorem

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Robert Altmann and Christoph Zimmer
Time discretization schemes for hyperbolic systems on networks by ε-expansion

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Mario Santilli
Uniqueness of singular convex hypersurfaces with lower bounded k-th mean curvature

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Manuel Amann, David González-Álvaro and Marcus Zibrowius
Vector bundles of non-negative curvature over cohomogeneity one manifolds

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2018

Mario Santilli
ABP inequalities for singular submanifolds of bounded mean curvature

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Philipp Seiwald, Alessandro Castagnotto, Tatjana Stykel and Boris Lohmann
H2 Pseudo-optimal reduction of structured DAEs by rational interpolation

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George Raptis and Wolfgang Steimle
On the h-cobordism category I

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Robert Altmann, Patrick Henning and Daniel Peterseim
Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials

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2017

Lothar Heinrich
Asymptotic Goodness-of-Fit Tests for Point Processes Based on Scaled Empirical K-Functions

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Mario Santilli
Curvature of closed subsets of Euclidean space and minimal submanifolds of arbitrary codimension

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Luigi Amedeo Bianchi, Dirk Blömker and Guido Schneider
Modulation equation and SPDEs on unbounded domains

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Dirk Blömker and Minoo Kamrani
Numerically Computable A Posteriori-Bounds for stochastic Allen-Cahn equation

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Manuel Amann
On quasi-isometric nilpotent Lie groups

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Wolfgang Steimle
On the universal property of Waldhausen's K-theory

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Christian Nolde and Dirk Blömker
Rigorous a-posteriori analysis using numerical eigenvalue bounds in a surface growth model

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2016

Urs Frauenfelder, Otto van Koert and Lei Zhao
A convex embedding for the rotating Kepler problem

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Denis Denisov, Dmitry A. Korshunov and Vitali Wachtel
At the Edge of Criticality: Markov Chains with Asymptotically Zero Drift

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Lothar Heinrich
Gaussian and Non-Gaussian Stable Limit Laws in Wicksell's Corpuscle Problem

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Jan Natolski and Ralf Werner
Mathematical Foundation of the Replicating Portfolio Approach

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Christian Bräu and Lothar Heinrich
Mixing Properties of Stationary Poisson Cylinder Models

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Lothar Heinrich, Friedrich Pukelsheim and Vitali Wachtel
The Variance of the Discrepancy Distribution of Rounding Procedures, and Sums of Uniform Random Variables

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2015

Manuel Friedrich and Bernd Schmidt
A quantitative geometric rigidity result in SBD

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Tatjana Stykel and Alexander Vasilyev
A two-step model reduction approach for mechanical systems with moving Loads

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Erschienen in: J. Comput. Appl. Math., 297, 2016, pp. 85-97, https://doi.org/10.1016/j.cam.2015.11.014

Manuel Amann
Deciding almost freeness of an action is NP-hard

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Dirk Blömker, Evelyn Sander and Thomas Wanner
Degenerate Nucleation in the Cahn-Hilliard-Cook Model

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Erschienen in SIAM Journal on Applied Dynamical Systems, 15, 1, S. 459-494, https://doi.org/10.1137/15m1028844

Kai Cieliebak
Homological algebra related to surfaces with boundary

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Jetlir Duraj and Vitali Wachtel
Invariance principles for random walks in cones

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Jost-Hinrich Eschenburg, Peter Quast and Makiko Sumi Tanaka
Isometries of Extrinsic Symmetric Spaces

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Michael Fischer, Alexander Vasilyev, Tatjana Stykel and Peter Eberhard
Model order reduction for elastic multibody systems with moving loads

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Johanna Kerler-Back and Tatjana Stykel
Model order reduction for magneto-quasistatic equations

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Erschienen in: IFAC-PapersOnLine, Proceedings of the 8th Vienna International Conference on Mathematical Modelling (MATHMOD 2015, Vienna, Austria, February 18-20, 2015), 48(1), 2015, pp. 240-241

Luigi Amedeo Bianchi and Dirk Blömker
Modulation Equation for SPDEs in Unbounded Domains With Space-Time White Noise - Linear Theory

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Erschienen in Stochastic Processes and their Applications, 126, 10, S. 3171-3201, https://doi.org/10.1016/j.spa.2016.04.024

Dimitra C. Antonopoulou, Peter W. Bates, Dirk Blömker and Georgia D. Karali
Motion of a Droplet for the Mass-Conserving Stochastic Allen-Cahn Equation

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Erschienen in SIAM Journal on Mathematical Analysis, 48, 1, S. 670-708, https://doi.org/10.1137/151005105

Christian Bräu and Lothar Heinrich
Multivariate Poisson Distributions Associated with Boolean Models

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Bakhtiyar Ghayebi, Seyed Mohammad Hosseini and Dirk Blömker
Numerical Solution of the Burgers Equation With Neumann Boundary Noise

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Erschienen in Journal of Computational and Applied Mathematics, 311, S. 148-164, https://doi.org/10.1016/j.cam.2016.07.005

Lothar Heinrich
On the Strong Brillinger-Mixing Property of Alpha-Determinantal Point Processes and Some Applications

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Luigi Amedeo Bianchi, Dirk Blömker and Philipp Düren
Pattern Size in Gaussian Fields from Spinodal Decomposition

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Erschienen in SIAM Journal on Applied Mathematics, 77, 4, S. 1292-1319, https://doi.org/10.1137/15m1052081

Nguyen Thanh Son and Tatjana Stykel
Solving parameter-dependent Lyapunov equations using reduced basis method with application to parametric model order reduction

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Erschienen in: SIAM J. Matrix Anal. Appl., 38(2), 2017, pp. 478–504, https://doi.org/10.1137/15M1027097

Lothar Heinrich
Some Inequalities for Chord Power Integrals of Parallelotopes

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Dimitra C. Antonopoulou, Dirk Blömker and Georgia D. Karali
The Sharp Interface Limit for the Stochastic Cahn-Hilliard Equation

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Erschienen in Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 54, 1, S. 280-298, https://doi.org/10.1214/16-aihp804

Anton Mellit, Nicolas Perrin and Maxim Smirnov
Update on quantum cohomology of IG(2,2n)

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2014

Christopher Wulff
Coarse Co-Assembly as a Ring Homomorphism

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Peter Quast and Makiko Sumi Tanaka
Distances of Polars in Pointed Symmetric R-Spaces

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Wael W. Mohammed and Dirk Blömker
Fast Diffusion Limit for Reaction-Diffusion Systems with Stochastic Neumann Boundary Conditions

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Erschienen in SIAM Journal on Mathematical Analysis, 48, 5, S. 3547-3578, https://doi.org/10.1137/140981952

Wael W. Mohammed and Dirk Blömker
Fast-Diffusion Limit with Large Noise for Systems of Stochastic Reaction-Diffusion Equations

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Erschienen in Stochastic Analysis and Applications, 34, 6, S. 961-978, https://doi.org/10.1080/07362994.2016.1197131

Lothar Heinrich
Gaussian Limits of Empirical Multiparameter K-Functions of Homogeneous Poisson Processes and Tests for Complete Spatial Randomness

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Lothar Heinrich
Lower and Upper Bounds for Chord Power Integrals of Ellipsoids

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Nguyen Thanh Son and Tatjana Stykel
Model order reduction of parameterized circuit equations based on interpolation

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Erschienen in: Adv. Comput. Math., 41(5), 2015, pp. 1321-1342, https://doi.org/10.1007/s10444-015-9418-z

Peter Quast and Makiko Sumi Tanaka
On the Geometry of Symmetric R-Spaces

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This article will appear in RIMS Kokyuroku in the proceedings of the Workshop "Development of group actions and submanifold theory" (June 2014) at RIMS, Kyoto University.

Manuel Amann
Special holonomy on special spaces

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Lisa Beck, Franco Flandoli and Massimiliano Gubinelli
Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness

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Fabian P. Reffel
Termination of the Iterative Proportional Fitting Procedure

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Markus Göhl and Karl-Heinz Borgwardt
The average number of pivot steps of the simplex-algorithm based on a generalized rotation-symmetry-model

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Auch erschienen in: Mathematical Methods of Operations Research, Volume 80, Issue 3 (2014),p. 329-366. DOI https://doi.org/10.1007/s00186-014-0483-8

2013

Lothar Heinrich and Mirjam Appelt
A Stable Limit Law for Recurrence Times of the Simple Random Walk on the Lattice Z2

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Lothar Heinrich and Zbynek Pawlas
Absolute Regularity and Brillinger Mixing of Stationary Point Processes

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Ronald H. W. Hoppe and Irwin Yousept
Adaptive Edge Element Approximation of H(curl)-Elliptic Optimal Control Problems with Control Constraints

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Alexandra Gaevskaya, Michael Hintermüller and Ronald H. W. Hoppe
Adaptive Finite Elements for Optimally Controlled Elliptic Variational Inequalities of Obstacle Type

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Kai-Friederike Oelbermann
Alternate Scaling Algorithm for Biproportional Divisor Methods

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Dietrich Braess, Thomas Fraunholz and Ronald H. W. Hoppe
An Equilibrated a Posteriori Error Estimator for the Interior Penalty Discontinuous Galerkin Method

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Friedrich Pukelsheim
Biproportional Matrix Scaling and the Iterative Proportional Fitting Procedure

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Christoph Gietl and Fabian P. Reffel
Continuity of f-Projections and Applications to the Iterative Proportional Fitting Procedure

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Kai Cieliebak and Yasha Eliashberg
Flexible Weinstein manifolds

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Isabell Graf, Malte A. Peter and James Sneyd
Homogenization of a Nonlinear Multiscale Model of Calcium Dynamics in Biological Cells

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Friedrich Pukelsheim and Matthias Rossi
Imperfektes Wahlrecht

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Dirk Blömker and Marco Romito
Local existence and uniqueness for a two-dimensional surface growth equation with space-time white noise

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Erschienen in Stochastic Analysis and Applications, 31, 6, S. 1049-1076, https://doi.org/10.1080/07362994.2013.829003

Christoph Kawan
Metric Entropy of Nonautonomous Dynamical Systems

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Serkan Gugercin, Tatjana Stykel and Sarah Wyatt
Model reduction of descriptor systems by interpolatory projection methods

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Erschienen in: SIAM J. Sci. Comput., 35(5), B1010–B1033, https://doi.org/10.1137/130906635

Wael W. Mohammed, Dirk Blömker and Konrad Klepel
Multi-Scale Analysis of SPDEs with Degenerate Additive Noise

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Erschienen in Journal of Evolution Equations, 14, 2, S. 273-298, https://doi.org/10.1007/s00028-013-0213-3

Nasser H. Sweilam, Tamer M. Al-Ajmi and Ronald H. W. Hoppe
Numerical Solution of Some Types of Fractional Optimal Control Problems

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Minoo Kamrani and Dirk Blömker
Numerical Solution of Stochastic Partial Differential Equations with Correlated Noise

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Bernd Schmidt
On the Infinite Particle Limit in Lagrangian Dynamics and Convergence of Optimal Transportation Meshfree Methods

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Oleg Boyarkin and Ronald H. W. Hoppe
Optimal Control of Inductive Heating of Ferromagnetic Materials

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Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann, Lothar Schmid and Achim Wixforth
Optimal Control of Surface Acoustic Wave Actuated Sorting of Biological Cells

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Dirk Blömker, Christian Nolde and James Robinson
Rigorous Numerical Verification of Uniqueness and Smoothness in a Surface Growth Model

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Erschienen in Journal of Mathematical Analysis and Applications, 429, 1, S. 311-325, https://doi.org/10.1016/j.jmaa.2015.04.025

Ronald H. W. Hoppe and Zhiheng Liu
Snapshot Location by Error Equilibration in Proper Orthogonal Decomposition for Linear and Semilinear Parabolic Partial Differential Equations

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2012

Michael Hintermüller, Ronald H. W. Hoppe and Caroline Löbhard
A Dual-Weighted Residual Approach to Goal-Oriented Adaptivity for Optimal Control of Elliptic Variational Inequalities

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Christoph Gietl and Fabian P. Reffel
Accumulation Points of the Iterative Proportional Fitting Procedure

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Dirk Blömker, Kody Law, Andrew M. Stuart and Konstantinos C. Zygalakis
Accuracy and Stability of the Continuous-Time 3DVAR Filter for the Navier-Stokes Equation

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Erschienen in Nonlinearity, 26, 8, S. 2193-2219, https://doi.org/10.1088/0951-7715/26/8/2193

Konrad Klepel, Dirk Blömker and Wael W. Mohammed
Amplitude Equation for the Generalized Swift Hohenberg Equation With Noise

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Erschienen in Zeitschrift für angewandte Mathematik und Physik, 65, 6, S. 1107-1126, https://doi.org/10.1007/s00033-013-0371-8

Friedrich Pukelsheim
An L1-Analysis of the Iterative Proportional Fitting Procedure

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Lothar Heinrich and Malte Spiess
Central Limit Theorem for the Volume of stationary Poisson Cylinder Processes in Expanding Domains

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Manuel Amann
Cohomological consequences of (almost) free torus actions

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Stefan Burger, Thomas Fraunholz, Christian T. Leirer, Ronald H. W. Hoppe, Achim Wixforth, Malte A. Peter and Thomas Franke
Comparative Study of the Dynamics of Lipid Membrane Phase Decomposition in Experiment and Simulation

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Thomas Fraunholz, Ronald H. W. Hoppe and Malte A. Peter
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method for the Biharmonic Problem

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Dirk Blömker, Minoo Kamrani and Seyed Mohammad Hosseini
Full discretization of stochastic burgers equation with correlated noise

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Erschienen in IMA Journal of Numerical Analysis, 33, 3, S. 825-848, https://doi.org/10.1093/imanum/drs035

Fritz Colonius, Ryuichi Fukuoka and Alexandre Santana
Invariance Entropy for Topological Semigroup Actions

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Lothar Heinrich, Sebastian Lück and Volker Schmidt
Non-parametric asymptotic statistics for the Palm mark distribution of β-mixing marked point processes

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Wolfgang Steimle
Non-trivial self-concordances and a recent conjecture by Botvinnik

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Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann and Kidist Zeleke
Numerical Simulation of Surface Acoustic Wave Actuated Cell Sorting

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Ronald H. W. Hoppe, Christopher Linsenmann and Kidist Zeleke
Numerical Simulation of Surface Acoustic Wave Actuated Enantiomer Separation by the Finite Element Immersed Boundary Method

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Julian Braun and Bernd Schmidt
On the Passage from Atomistic Systems to Nonlinear Elasticity Theory

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Peter Quast
Real Forms of Hermitian Symmetric Spaces, Revisited

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Andreas Käufl
The Distribution of the Maximum Likelihood Estimator in Invariant Gaussian Graphical Models and its Application to Likelihood Ratio Tests

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Ruth Maria Katharina Dietl and Jost-Hinrich Eschenburg
Three-Dimensional Penrose Tilings and Self-Similarity

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2011

Olga Birkmeier and Friedrich Pukelsheim
A Probabilistic 'Re-View' on Felsenthal and Machover's - The Measurement of Voting Power

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Geoffrey R. Grimmett, Kai-Friederike Oelbermann and Friedrich Pukelsheim
A power-weighted variant of the EU27 Cambridge Compromise

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Ronald H. W. Hoppe and Christopher Linsenmann
An Adaptive Newton Continuation Strategy for the Fully Implicit Finite Element Immersed Boundary Method

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Lothar Heinrich, Sebastian Lück and Volker Schmidt
Asymptotic Goodness-of-fit Tests for the Palm Mark Distribution of Stationary Point Processes with Correlated Marks

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Lothar Heinrich and Stella Klein
Central Limit Theorems for Empirical Product Densities of Stationary Point Processes

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Peter Quast
Centrioles in Symmetric Spaces

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Ronald H. W. Hoppe and Natasha S. Sharma
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method for the Helmholtz Equation

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Jonas M. Tölle
Convergence of solutions to the p-Laplace evolution equation as p goes to 1

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Peter Quast and Makiko Sumi Tanaka
Convexity of Reflective Submanifolds in Symmetric R-spaces

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Richard Peifer, Daniel Lübbert, Kai-Friederike Oelbermann and Friedrich Pukelsheim
Direktmandatsorientierte Proporzanpassung: Eine mit der Personenwahl verbundene Verhältniswahl ohne negative Stimmgewichte

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Friedrich Pukelsheim and Christian Schuhmacher
Doppelproporz bei Parlamentswahlen - ein Rück- und Ausblick

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Kai-Friederike Oelbermann
Erststimmenstärkende Option zur Änderung des Bundeswahlgesetzes - eine integrative Verbindung von Personen- und Verhältniswahl

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Manuel Friedrich and Bernd Schmidt
From Atomistic to Continuum Theory for Brittle Materials: A Two-Dimensional Model Problem

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Dimitra C. Antonopoulou, Dirk Blömker and Georgia D. Karali
Front Motion in the One-Dimensional Stochastic Cahn-Hilliard Equation

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Erschienen in SIAM Journal on Mathematical Analysis, 44, 5, S. 3242-3280, https://doi.org/10.1137/120861941

Christoph Kawan and Torben Stender
Growth Rates for Semiflows on Hausdorff Spaces

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Peter Quast
Homotopy of Exceptional Symmetric Spaces

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Dirk Blömker and Wael W. Mohammed
Modulation Equation for Stochastic Swift-Hohenberg Equation

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Erschienen in SIAM Journal on Mathematical Analysis, 45, 1, S. 14-30, https://doi.org/10.1137/110846336

Dirk Blömker, Wael W. Mohammed, Christian Nolde and Franz Wöhrl
Numerical Study of Amplitude Equations for SPDEs with Degenerate Forcing

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Erschienen in International Journal of Computer Mathematics, 89, 18, S. 2499-2516, https://doi.org/10.1080/00207160.2012.662591

Ronald H. W. Hoppe and Tobias Lipp
Optimal Control of European Double Barrier Basket Options

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William G. Litvinov
Petrov-Galerkin Method for Approximation of Solutions to Operator equations in Positive and Negative Banach Spaces

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Daniel Lübbert, F. Arndt and Friedrich Pukelsheim
Proporzwahrende Anpassung der Bundestagsgröße – ein Lösungsvorschlag für das Problem der negativen Stimmgewichte bei Bundestagswahlen

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Lothar Heinrich
Some New Results on Second-Order Chord Power Integrals of Convex Quadrangles

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Kai Cieliebak, Urs Frauenfelder and Otto van Koert
The Cartan geometry of the rotating Kepler problem

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Huangxin Chen, Ronald H. W. Hoppe and Xuejun Xu
Uniform Convergence of Local Multigrid Methods for the Time-harmonic Maxwell Equation

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2010

Carsten Carstensen, Martin Eigel, Caroline Löbhard and Ronald H. W. Hoppe
A Review of Unified A Posteriori Finite Element Error Control

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Andreas Käufl, Friedrich Pukelsheim and Olga Ruff
Abstentions in the German Bundesrat and ternary decision rules

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Carsten Carstensen, Ronald H. W. Hoppe, Natasha S. Sharma and Tim Warburton
Adaptive Hybridized Interior Penalty Discontinuous Galerkin Methods for H(curl)-Elliptic Problems

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Dirk Blömker and Wael W. Mohammed
Amplitude Equations for SPDEs with Cubic Nonlinearities

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Erschienen in Stochastics, 85, 2, S. 181-215, https://doi.org/10.1080/17442508.2011.624628

Stella Veronica David and Lothar Heinrich
Central Limit Theorem for the Integrated Squared Error of the Empirical Second-Order Product Density and Goodness-of-fit Tests for Stationary Point Processes

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Robert Azencott, Roland Glowinski, Jiwen He, Ronald H. W. Hoppe, Aarti Jajoo, Yipeng Li, Andrey Martynenko, Sagit Benzekry, Stephen H. Little and William A. Zoghbi
Diffeomorphic Matching and Dynamic Deformable Surfaces in 3D Medical Imaging

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Kai-Friederike Oelbermann, Friedrich Pukelsheim, Matthias Rossi and Olga Ruff
Eine schonende Verbindung von Personen- und Verhältniswahl zum Abbau negativer Stimmgewichte bei Bundestagswahlen

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Erschienen in Kritische Vierteljahresschrift für Gesetzgebung und Rechtswissenschaft, 94, 1, S. 55-79, https://doi.org/10.5771/2193-7869-2011-1-55

Kai-Friederike Oelbermann and Friedrich Pukelsheim
Future European Parliament Elections: Ten Steps Towards Uniform Procedures

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Christoph Kawan
Invariance Entropy of Control Sets

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Dirk Blömker and Marco Romito
Local existence and uniqueness in the largest critical space for a surface growth model

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Erschienen in Nonlinear Differential Equations and Applications NoDEA, 19, 3, S. 365-381, https://doi.org/10.1007/s00030-011-0133-2

Ronald H. W. Hoppe, Xuejun Xu and Huangxin Chen
Local multigrid on adaptively refined meshes and multilevel preconditioning with applications to problems in electromagnetism and acoustics

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Christoph Kawan
Lower bounds for the strict invariance entropy

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William G. Litvinov
Model for Laminar and Turbulent Flows of Viscous and Nonlinear Viscous non-Newtonian Fluids

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Harbir Antil, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth
Multiscale and Multiphysics Aspects in Modeling and Simulation of Surface Acoustic Wave Driven Microfluidic Biochips

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Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann, Lothar Schmid, Carina Willbold and Achim Wixforth
Numerical Simulation of the Motion and Deformation of Red Blood Cells and Vesicles in Microfluidic Flows

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Manfred Herbst
On Higher Rank Coisotropic A-Branes

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Robert Azencott, Roland Glowinski, Jiwen He, Ronald H. W. Hoppe, Aarti Jajoo, Yipeng Li, Andrey Martynenko, Sagit Benzekry, Stuart H. Little and William A. Zoghbi
Optimal Diffeomorphic Matching in Biomedical Image Processing

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Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth
Projection Based Model Reduction for Optimal Design of the Time-Dependent Stokes System

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Kai-Friederike Oelbermann, Antonio Palomares and Friedrich Pukelsheim
The 2009 European Parliament Elections: From Votes to Seats in 27 Ways

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Michael Hintermüller, Michael Hinze and Ronald H. W. Hoppe
Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints

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2009

Ronald H. W. Hoppe, Johannes Neher and Natasha S. Sharma
A Posteriori Error Analysis of Hybridized Mixed Finite Element Methods for Second Order Elliptic Boundary Value Problems

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Malte A. Peter and Michael H. Meylan
A general spectral approach to the time-domain evolution of linear water waves impacting on a vertical elastic plate

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William G. Litvinov, Talal Rahman and Xue-Cheng Tai
A modified TV-Stokes model for image processing

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Ali Ünlü
A note on the connection between knowledge structures and latent class models

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Olga Ruff and Friedrich Pukelsheim
A stochastic synopsis of binary voting rules

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Stefano Testa, Bruno Simeone and Friedrich Pukelsheim
ABBaziE - A Bridge between Bazi and Excel

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Dirk Blömker and Wael Wagih M. E. Elhaddad
Amplitude equation for SPDE with quadratic nonlinearities

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Erschienen in Electronic Journal of Probability, 14, S. 2527-2550, https://doi.org/10.1214/ejp.v14-716

Dirk Blömker and Yongqian Han
Asymptotic compactness of stochastic complex Ginzburg-Landau equation on an unbounded domain

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Erschienen in Stochastics and Dynamics, 10, 4, S. 613-636, https://doi.org/10.1142/s0219493710003121

Lothar Heinrich and Malte Spiess
Berry-Esseen Bounds and Cramer-Type Large Deviations for the Volume Distribution of Poisson Cylinder Processes

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Dieter Jungnickel
Characterizing Geometric Designs

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Dieter Jungnickel
Characterizing Geometric Designs II

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Anatol Sargin and Ali Ünlü
DAKS: An R Package for Data Analysis Methods in Knowledge Space Theory

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Harbir Antil, Matthias Heinkenschloss and Ronald H. W. Hoppe
Domain Decomposition and Balanced Truncation Model Reduction for Shape Optimization of the Stokes System

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Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe and Danny C. Sorensen
Domain Decomposition and Model Reduction for the Numerical Solution of PDE Constrained Optimization Problems with Localized Optimization Variables

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Fritz Colonius and Uwe Helmke
Entropy of controlled-invariant subspaces

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Ali Ünlü, Thomas Kiefer and Ehtibar N. Dzhafarov
Fechnerian Scaling in R: The Package fechner

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Ernst Heintze and Christian Groß
Finite order automorphisms and real forms of affine Kac-Moody algebras in the smooth and algebraic category

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Dirk Blömker and Arnulf Jentzen
Galerkin approximations for the stochastic Burgers equation

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Erschienen in SIAM Journal on Numerical Analysis, 51, 1, S. 694-715, https://doi.org/10.1137/110845756

Michael Hintermüller and Ronald H. W. Hoppe
Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations

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Fritz Colonius and Christoph Kawan
Invariance Entropy for Outputs

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Ali Ünlü
Knowledge Space Theory and Item Response Theory

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Friedrich Pukelsheim and Peter Leutgäb
Listenverbindungen bei Kommunalwahlen - Ein Glücksspiel

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Xuejun Xu, Huangxin Chen and Ronald H. W. Hoppe
Local multilevel methods for adaptive nonconforming finite element methods

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Harbir Antil, Roland Glowinski, Ronald H. W. Hoppe, Christopher Linsenmann, Tsorng-Whay Pan and Achim Wixforth
Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips

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Ronald H. W. Hoppe and Svetozara I. Petrova
Multi-scale method for the crack problem in microstructural materials

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Dirk Blömker, Bernhard Gawron and Thomas Wanner
Nucleation in the One-Dimensional Stochastic Cahn-Hilliard Model

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Erschienen in Discrete and Continuous Dynamical Systems, 27, 1, S. 25-52, https://doi.org/10.3934/dcds.2010.27.25

Lothar Heinrich
On Lower Bounds of Second-Order Chord Power Integrals of Convex Discs

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Friedrich Pukelsheim and Bruno Simeone
On the Iterative Proportional Fitting Procedure: Structure of Accumulation Points and L1-Error Analysis

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Christopher Linsenmann
On the convergence of right transforming iterations for the numerical solution of PDE constrained optimization problems

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William G. Litvinov
Optimal control of electrorheological clutch described by nonlinear parabolic equation with nonlocal boundary conditions

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Dietmar Hömberg, Andreas Steinbrecher and Tatjana Stykel
Optimal control of robot guided laser material treatment

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Xuejun Xu, Huangxin Chen and Ronald H. W. Hoppe
Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems

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Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe, Christopher Linsenmann and Achim Wixforth
Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips

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Dirk Blömker and Marco Romito
Regularity and blow-up in a surface growth model

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Erschienen in Dynamics of Partial Differential Equations, 6, 3, S. 227-252, https://doi.org/10.4310/dpde.2009.v6.n3.a2

Carsten Carstensen and Ronald H. W. Hoppe
Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems

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Christoph Kawan
Upper and Lower Estimates for Invariance Entropy

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Malte A. Peter and Michael H. Meylan
Water-wave scattering by vast fields of bodies

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2008

Peter Giesl and Martin Rasmussen
A Note on Almost Periodic Variational Equations

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Dietrich Braess, Ronald H. W. Hoppe and Joachim Schöberl
A Posteriori Estimators for Obstacle Problems by the Hypercircle Method

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Harbir Antil, Ronald H. W. Hoppe and Christopher Linsenmann
Adaptive Multilevel Interior-Point Methods in PDE Constrained Optimization

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Michael Hintermüller and Ronald H. W. Hoppe
Adaptive finite element methods for control constrained distributed and boundary optimal control problems

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Martin Rasmussen
Bifurcations of Asymptotically Autonomous Differential Equations

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Christian Pötzsche and Martin Rasmussen
Computation of integral manifolds for Carathéodory differential equations

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Fritz Colonius and Tobias Wichtrey
Control systems with almost periodic excitations

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Ronald H. W. Hoppe, Haijun Wu and Zhimin Zhang
Convergence analysis of adaptive finite element approximations of the Laplace eigenvalue problem

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Huangxin Chen, Xuejun Xu and Ronald H. W. Hoppe
Convergence and optimality of adaptive nonconforming finite element methods for nonsymmetric and indefinite problems

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Daniel Roggenkamp and Katrin Wendland
Decoding the geometry of conformal field theories

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Daniel Köster, Oliver Kriessl and Kunibert G. Siebert
Design of Finite Element Tools for Coupled Surface and Volume Meshes

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Martin Rasmussen
Dichotomy spectra and Morse decompositions of linear nonautonomous differential equations

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Dietrich Braess, Carsten Carstensen and Ronald H. W. Hoppe
Error Reduction in Adaptive Finite Element Approximations of Elliptic Obstacle Problems

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Michael Hintermüller and Ronald H. W. Hoppe
Goal Oriented Mesh Adaptivity for Mixed Control-State Constrained Elliptic Optimal Control Problems

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Anatol Sargin and Ali Ünlü
Inductive item tree analysis: Corrections, improvements, and comparisons

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Ali Ünlü and Anatol Sargin
Interactive visualization of assessment data: The software package Mondrian

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Fritz Colonius and Christoph Kawan
Invariance Entropy for Control Systems

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Matthias Brandl
Kegel, Ellipse und Tschirnhaus-Kubik - eine Metamorphose

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Christoph Kawan and Torben Stender
Lipschitz Conjugacy of Linear Flows

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Renate Motzer
Magische Quadrate - Einführung in die Lineare Algebra anhand dieses Vektorraummodells

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Johanna Knapp and Emanuel Scheidegger
Matrix Factorizations, Massey Products and F-Terms for Two-Parameter Calabi-Yau Hypersurfaces

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Ali Ünlü and Anatol Sargin
Maximum likelihood methodology for diff fit measures for quasi orders

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Ronald H. W. Hoppe and William G. Litvinov
Modeling, Simulation and Optimization of Electrorheological Fluids

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Fritz Colonius, Peter Kloeden and Martin Rasmussen
Morse spectrum for nonautonomous differential equations

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Ali Ünlü and Anatol Sargin
Mosaics for Visualizing Knowledge Structures

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Albrecht Klemm, Davesh Maulik, Rahul Pandharipande and Emanuel Scheidegger
Noether-Lefschetz theory and the Yau-Zaslow conjecture

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Steen A. Andersson and Thomas Klein
On Riesz and Wishart distributions associated with decomposable undirected graphs

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Ron Donagi and Katrin Wendland
On orbifolds and free fermion constructions

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Ali Ünlü and Waqas Ahmed Malik
Psychometric data analysis: A size/fit trade-off evaluation procedure for knowledge structures

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Dirk Blömker and Wei Wang
Qualitative Properties of Local Random Invariant Manifolds for SPDEs with Quadratic Nonlinearity

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Erschienen in Journal of Dynamics and Differential Equations, 22, 4, S. 677-695, https://doi.org/10.1007/s10884-009-9145-6

Ronald H. W. Hoppe and Svetozara I. Petrova
Shape optimal design of periodic microstructural materials

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Dirk Blömker, Martin Hairer and Grigorios A. Pavliotis
Some Remarks on Stabilization by Additive Noise

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Johanna Knapp and Emanuel Scheidegger
Towards Open String Mirror Symmetry for One-Parameter Calabi-Yau Hypersurfaces

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Volker Braun, Maximilian Kreuzer, Burt Ovrut and Emanuel Scheidegger
Worldsheet Instantons and Torsion Curves

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Friedrich Pukelsheim, Sebastian Maier and Peter Leutgäb
Zur Vollmandat-Sperrklausel im Kommunalwahlgesetz

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2007

Pedro Morin, Kunibert G. Siebert and Andreas Veeser
A Basic Convergence Result for Conforming Adaptive Finite Elements

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Ali Ünlü
A Note on Monotone Likelihood Ratio of the Total Score Variable in Unidimensional Item Response Theory

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Friedrich Pukelsheim
A Parliament of Degressive Representativeness?

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Ronald H. W. Hoppe and Michael Kieweg
A posteriori error estimation of finite element approximations of pointwise state constrained distributed control problems

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Ulrich Fahrner and Antony R. Unwin
Adaptive Verfahren zur Analyse und Verbesserung realer Lehr-Lern-Systeme

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Ronald H. W. Hoppe and Michael Kieweg
Adaptive finite element methods for mixed control-state constrained optimal control problems for elliptic boundary value problems

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Ronald H. W. Hoppe, Christopher Linsenmann and Harbir Antil
Adaptive path-following primal dual interior point methods for shape optimization of linear and nonlinear Stokes flow problems

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Michael Hintermüller, Ronald H. W. Hoppe, Yuri Iliash and Michael Kieweg
An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints

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Sebastian Maier and Friedrich Pukelsheim
Bazi: A Free Computer Program for Proportional Representation Apportionment

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Lothar Heinrich
Central Limit Theorems for Motion-Invariant Poisson Hyperplanes in Expanding Convex Bodies

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Ronald H. W. Hoppe and Svetozara I. Petrova
Combined mesh superposition method and homogenization approach for a crack problem in periodic composites

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Christian Pötzsche and Martin Rasmussen
Computation of nonautonomous invariant and inertial manifolds

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Fritz Colonius and Tobias Wichtrey
Control systems with almost periodic excitations

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Fritz Colonius and Wolfgang Kliemann
Controllability properties of nonlinear behaviors

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Ronald H. W. Hoppe, Guido Kanschat and Tim Warburton
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method

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Dietrich Braess, Carsten Carstensen and Ronald H. W. Hoppe
Convergence analysis of a conforming adaptive finite element method for an obstacle problem

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Pedro Morin, Kunibert G. Siebert and Andreas Veeser
Convergence of Finite Elements Adapted for Weak Norms

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Ronald H. W. Hoppe and Joachim Schöberl
Convergence of adaptive edge element methods for the 3D eddy currents equations

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Norbert Gaffke and Friedrich Pukelsheim
Divisor methods for proportional representation systems: An optimization approach to vector and matrix apportionment problems

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Sebastian Maier, Petur Zachariassen and Martin Zachariasen
Divisor-Based Biproportional Apportionment in Electoral Systems: A Real-Life Benchmark Study

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Antony R. Unwin, Martin Theus and Wolfgang Karl Härdle
Exploratory graphics of a financial dataset

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Anda Degeratu and Katrin Wendland
Friendly giant meets pointlike instantons? On a new conjecture by John McKay

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Alexandra Gaevskaya, Ronald H. W. Hoppe and Sergey I. Repin
Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control

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Michael Hintermüller and Ronald H. W. Hoppe
Goal-oriented adaptivity in control constrained optimal control of partial differential equations

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Antony R. Unwin, Chun-houh Chen and Wolfgang Karl Härdle
Introduction to the 'Handbook of Computational Statistics and Data Visualization'

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Lars Diening and Christian Kreuzer
Linear convergence of an adaptive finite element method for the p-Laplacian equation

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Dirk Blömker, Franco Flandoli and Marco Romito
Markovianity and ergodicity for a surface growth PDE

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Erschienen in The Annals of Probability, 37, 1, S. 275-313, https://doi.org/10.1214/08-aop403

Stephane Bordas, Ronald H. W. Hoppe and Svetozara I. Petrova
Mechanical failure in microstructural heterogeneous materials

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William G. Litvinov, Talal Rahman and Ronald H. W. Hoppe
Model of an electro-rheological shock absorber and coupled problem for partial and ordinary differential equations with variable unknown domain

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Harbir Antil, Andreas Gantner, Ronald H. W. Hoppe, Daniel Köster, Kunibert G. Siebert and Achim Wixforth
Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips

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Ali Ünlü
Nonparametric item response theory axioms and properties under nonlinearity and their exemplification with knowledge space theory

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Fritz J. II. Foss, Roland Glowinski and Ronald H. W. Hoppe
On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type, (I): Problem formulation and description of the algorithms

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Fritz J. II. Foss, Roland Glowinski and Ronald H. W. Hoppe
On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type, (II): Numerical experiments

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Ronald H. W. Hoppe and Svetozara I. Petrova
On the return mapping algorithms in structural optimization of biomorphic ceramics

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Harbir Antil, Ronald H. W. Hoppe and Christopher Linsenmann
Optimal design of stationary flow problems by path-following interior-point methods

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Antony R. Unwin
Parallel coordinates for parallel events: graphical analysis of decathlon results and the decathlon points system

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Christian Schröder and Tatjana Stykel
Passivation of LTI systems

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Harbir Antil, Ronald H. W. Hoppe and Christopher Linsenmann
Path-following primal-dual interior-point methods for shape optimization of stationary flow problems

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Friedrich Pukelsheim
Putting Citizens First: Representation and Power in the European Union

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J. Manuel Cascon, Christian Kreuzer, Ricardo H. Nochetto and Kunibert G. Siebert
Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method

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Falk Ebert and Tatjana Stykel
Rational interpolation, minimal realization and model reduction

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Ernst Heintze
Real forms and finite order automorphisms of affine Kac-Moody algebras - an outline of a new approach

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Ali Ünlü, Silke Brandt and Dietrich Albert
Test Surmise Relations, Test Knowledge Structures, and their Characterizations

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Kai Cieliebak and Janko Latschev
The role of string topology in symplectic field theory

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Norbert Gaffke and Friedrich Pukelsheim
Vector and matrix apportionment problems and separable convex integer optimization

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2006

Marc A. Nieper-Wißkirchen
Equivariant cohomology, symmetric functions and the Hilbert schemes of points on the total space of the invertible sheaf O(-2) over the projective line

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Stefan Krömer
Existence and symmetry of minimizers for nonconvex radially symmetric variational problems

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Antony R. Unwin
Good graphics?

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Stefan Krömer and Hansjörg Kielhöfer
Radially symmetric critical points of nonconvex functionals

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2005

Andreas Gantner, Ronald H. W. Hoppe, Daniel Köster, Kunibert G. Siebert and Achim Wixforth
Numerical Simulation of Piezoelectrically Agitated Surface Acoustic Waves on Microfluidic Biochips

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Ricardo H. Nochetto, Alfred Schmidt, Kunibert G. Siebert and Andreas Veeser
Pointwise A Posteriori Error Estimates for Monotone Semi-linear Equations

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2003

Tatjana Stykel
Input-output invariants for descriptor systems

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2002

Kai Cieliebak
Subcritical Stein manifolds are split

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2001

Michal Kocvara, Herbert R. E. M. Hörnlein and Ralf Werner
MOPED - An Integrated Designer Tool for Material Optimization

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2000

Ralf Werner
Free Material Optimization: The Single Load Case – A Finite Element Method Analysis

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Michal Kocvara, M. Stingl and Ralf Werner
MOPED User’s Guide – Version 1.02

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1999

Ralf Werner
Free Material Optimization - The Single Load Case

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1998

Reinhard Oldenburg
Birman-Murakami-Wenzl Algebren des Coxeter Typs B

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Yuri Iliash, Y. Kuznetsov and Yuri Vassilevski
On application of strengthened AMG for partially unstructured meshes to unsteady fully potential flow problem with moving boundaries

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1994

Lothar Heinrich and Lutz Muche
On the pair correlation function of the point process of nodes in a Voronoi tessellation

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1993

Lothar Heinrich
Tail triviality of point processes and Poisson convergence for some classes of particle motions

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1992

Lothar Heinrich
Mixing properties of Gibbsian point processes and asymptotic normality of Takacs-Fiksel estimates

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1985

Karl-Heinz Borgwardt
Average behaviour of the simplex-method: some improvements in the analysis of the rotation-symmetry-model

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