@misc{BaumannDudaSchielaetal.2026, author = {Baumann, Felix and Duda, Georg and Schiela, Anton and Weiser, Martin}, title = {Identification of Stress in Heterogeneous Contact Models}, volume = {173}, journal = {Non-Smooth and Complementarity-Based Distributed Parameter Systems}, editor = {Hinterm{\"u}ller, Michael and Herzog, Roland and Kanzow, Christian and Ulbrich, Michael and Ulbrich, Stefan}, publisher = {Springer Nature}, year = {2026}, abstract = {We develop a heterogeneous model of the lower limb system to simulate muscle forces and stresses acting on the knee joint. The modelling of the bone dynamics leads to an index-3 DAE, which we discretize by higher order collocation methods. Furthermore, we present an elastomechanical contact knee joint model of the articular cartilage. For the solution of the contact problem we develop an efficient multigrid solver, based on an Augmented-Lagrangian relaxation of the contact constraints. We formulate the identification of joint forces and resulting stresses with respect to different knee joint models as an inverse problem based on medical gait data.}, language = {en} } @misc{SchintkeGrevedeCuveland2024, author = {Schintke, Florian and Greve, Nico and de Cuveland, Jan}, title = {Recent Flesnet developments and work in progress}, journal = {CBM Progress Report 2023}, editor = {Friese, Volker and Gasik, Piotr and Selyuzhenkov, Ilya}, publisher = {GSI Helmholtzzentrum f{\"u}r Schwerionenforschung GmbH}, doi = {10.15120/GSI-2024-00765}, pages = {132}, year = {2024}, language = {en} } @misc{IommazzoD'AmbrosioFrangionietal.2022, author = {Iommazzo, Gabriele and D'Ambrosio, Claudia and Frangioni, Antonio and Liberti, Leo}, title = {Algorithm configuration problem}, journal = {Encyclopedia of Optimization}, year = {2022}, language = {en} } @misc{GahururuHintermuellerStengletal.2022, author = {Gahururu, Deborah and Hinterm{\"u}ller, Michael and Stengl, Steven-Marian and Surowiec, Thomas M.}, title = {Generalized Nash equilibrium problems with partial differential operators: theory, algorithms, and risk aversion}, journal = {Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization}, year = {2022}, language = {en} } @misc{MollenhauerSchusterKlusetal.2020, author = {Mollenhauer, Mattes and Schuster, Ingmar and Klus, Stefan and Sch{\"u}tte, Christof}, title = {Singular Value Decomposition of Operators on Reproducing Kernel Hilbert Spaces}, volume = {304}, journal = {Advances om Dynamics, Optimization and Computation. Series: Studies in Systems, Decision and Control. A volume dedicated to Michael Dellnitz on his 60th birthday}, editor = {Junge, Oliver and Sch{\"u}tze, O. and Froyland, Gary and Ober-Blobaum, S. and Padberg-Gehle, K.}, publisher = {Springer International}, isbn = {978-3-030-51264-4}, doi = {10.1007/978-3-030-51264-4_5}, pages = {109 -- 131}, year = {2020}, language = {en} } @misc{BittracherSchuette2020, author = {Bittracher, Andreas and Sch{\"u}tte, Christof}, title = {A weak characterization of slow variables in stochastic dynamical systems}, volume = {304}, journal = {Advances in Dynamics, Optimization and Computation. Series: Studies in Systems, Decision and Control. A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday}, editor = {Junge, Oliver and Sch{\"u}tze, O. and Froyland, Gary and Ober-Blobaum, S. and Padberg-Gehle, E.}, publisher = {Springer International}, isbn = {978-3-030-51264-4}, doi = {10.1007/978-3-030-51264-4_6}, pages = {132 -- 150}, year = {2020}, language = {en} } @misc{SakuraiOnoCarretal.2019, author = {Sakurai, Daisuke and Ono, Kenji and Carr, Hamish and Nonaka, Jorji and Kawanabe, Tomohiro}, title = {Flexible Fiber Surfaces: A Reeb-Free Approach}, journal = {Topological Methods in Data Analysis and Visualization V}, editor = {Carr, Hamish and Fujishiro, Issei and Sadlo, Filip and Takahashi, Shigeo}, publisher = {Springer}, pages = {14}, year = {2019}, abstract = {The fiber surface generalizes the popular isosurface to multi-fields, so that pre-images can be visualized as surfaces. As with the isosurface, however, the fiber surface suffers from visual occlusion. We propose to avoid such occlusion by restricting the components to only the relevant ones with a new component-wise flexing algorithm. The approach, flexible fiber surface, generalizes the manipulation idea found in the flexible isosurface for the fiber surface. The flexible isosurface in the original form, however, relies on the contour tree. For the fiber surface, this corresponds to the Reeb space, which is challenging for both the computation and user interaction. We thus take a Reeb-free approach, in which one does not compute the Reeb space. Under this constraint, we generalize a few selected interactions in the flexible isosurface and discuss the implication of the restriction.}, language = {en} } @misc{OatesCockaynePrangleetal.2020, author = {Oates, Chris and Cockayne, Jon and Prangle, Dennis and Sullivan, T. J. and Girolami, Mark}, title = {Optimality criteria for probabilistic numerical methods}, volume = {27}, journal = {Multivariate Algorithms and Information-Based Complexity}, editor = {Hickernell, F. J. and Kritzer, P.}, publisher = {De Gruyter}, arxiv = {http://arxiv.org/abs/1901.04326}, doi = {10.1515/9783110635461-005}, pages = {65 -- 88}, year = {2020}, abstract = {It is well understood that Bayesian decision theory and average case analysis are essentially identical. However, if one is interested in performing uncertainty quantification for a numerical task, it can be argued that the decision-theoretic framework is neither appropriate nor sufficient. To this end, we consider an alternative optimality criterion from Bayesian experimental design and study its implied optimal information in the numerical context. This information is demonstrated to differ, in general, from the information that would be used in an average-case-optimal numerical method. The explicit connection to Bayesian experimental design suggests several distinct regimes in which optimal probabilistic numerical methods can be developed.}, language = {en} } @misc{RalphsShinanoBertholdetal.2018, author = {Ralphs, Ted and Shinano, Yuji and Berthold, Timo and Koch, Thorsten}, title = {Parallel Solvers for Mixed Integer Linear Optimization}, journal = {Handbook of Parallel Constraint Reasoning}, editor = {Hamadi, Youssef}, publisher = {Springer Nature}, doi = {10.1007/978-3-319-63516-3_8}, pages = {283 -- 336}, year = {2018}, language = {en} } @misc{CiccottiFerrarioSchuette2018, author = {Ciccotti, Giovanni and Ferrario, Mauro and Sch{\"u}tte, Christof}, title = {Molecular Dynamics vs. Stochastic Processes: Are We Heading Anywhere?}, volume = {20}, journal = {Special Issue: Understanding Molecular Dynamics via Stochastic Processes, Entropy}, number = {5}, doi = {10.3390/e20050348}, year = {2018}, language = {en} } @misc{GoetschelMinion2018, author = {G{\"o}tschel, Sebastian and Minion, Michael L.}, title = {Parallel-in-Time for Parabolic Optimal Control Problems Using PFASST}, journal = {Domain Decomposition Methods in Science and Engineering XXIV}, publisher = {Springer}, address = {Cham}, doi = {10.1007/978-3-319-93873-8_34}, pages = {363 -- 371}, year = {2018}, abstract = {In gradient-based methods for parabolic optimal control problems, it is necessary to solve both the state equation and a backward-in-time adjoint equation in each iteration of the optimization method. In order to facilitate fully parallel gradient-type and nonlinear conjugate gradient methods for the solution of such optimal control problems, we discuss the application of the parallel-in-time method PFASST to adjoint gradient computation. In addition to enabling time parallelism, PFASST provides high flexibility for handling nonlinear equations, as well as potential extra computational savings from reusing previous solutions in the optimization loop. The approach is demonstrated here for a model reaction-diffusion optimal control problem.}, language = {en} } @misc{GreweZachow2017, author = {Grewe, Carl Martin and Zachow, Stefan}, title = {Face to Face-Interface}, journal = {+ultra. Knowledge \& Gestaltung}, editor = {Doll, Nikola and Bredekamp, Horst and Sch{\"a}ffner, Wolfgang}, publisher = {Seemann Henschel}, pages = {320 -- 321}, year = {2017}, language = {en} } @misc{GreweSchreiber2017, author = {Grewe, Carl Martin and Schreiber, Lisa}, title = {Digital Image Archive. The Archiving and Coding of Emotions}, journal = {+ultra. Knowledge \& Gestaltung}, editor = {Doll, Nikola and Bredekamp, Horst and Sch{\"a}ffner, Wolfgang}, publisher = {Seemann Henschel}, pages = {281 -- 286}, year = {2017}, language = {en} } @misc{HildebrandtSchulzTycowiczetal.2010, author = {Hildebrandt, Klaus and Schulz, Christian and Tycowicz, Christoph von and Polthier, Konrad}, title = {Eigenmodes of Surface Energies for Shape Analysis}, volume = {6130}, journal = {Advances in Geometric Modeling and Processing (Proceedings of Geometric Modeling and Processing 2010)}, editor = {Mourrain, Bernard and Schaefer, Scott and Xu, Guoliang}, publisher = {Springer Berlin / Heidelberg}, doi = {10.1007/978-3-642-13411-1_20}, pages = {296 -- 314}, year = {2010}, abstract = {In this work, we study the spectra and eigenmodes of the Hessian of various discrete surface energies and discuss applications to shape analysis. In particular, we consider a physical model that describes the vibration modes and frequencies of a surface through the eigenfunctions and eigenvalues of the Hessian of a deformation energy, and we derive a closed form representation for the Hessian (at the rest state of the energy) for a general class of deformation energies. Furthermore, we design a quadratic energy, such that the eigenmodes of the Hessian of this energy are sensitive to the extrinsic curvature of the surface. Based on these spectra and eigenmodes, we derive two shape signatures. One that measures the similarity of points on a surface, and another that can be used to identify features of the surface. In addition, we discuss a spectral quadrangulation scheme for surfaces.}, language = {en} } @misc{SarichSchuette2014, author = {Sarich, Marco and Sch{\"u}tte, Christof}, title = {Markov Model Theory}, volume = {797}, journal = {An Introduction to Markov State Models and Their Application to Long Timescale Molecular Simulation}, editor = {Bowman, Gregory R. and Pande, Vijay S. and No{\´e}, Frank}, publisher = {Springer}, doi = {10.1007/978-94-007-7606-7}, pages = {23 -- 44}, year = {2014}, abstract = {This section reviews the relation between the continuous dynamics of a molecular system in thermal equilibrium and the kinetics given by a Markov State Model (MSM). We will introduce the dynamical propagator, an error-less, alternative description of the continuous dynamics, and show how MSMs result from its discretization. This allows for an precise understanding of the approximation quality of MSMs in comparison to the continuous dynamics. The results on the approximation quality are key for the design of good MSMs. While this section is important for understanding the theory of discretization and related systematic errors, practitioners wishing only to learn how to construct MSMs may skip directly to the discussion of Markov model estimation.}, language = {en} } @misc{DeuflhardWeber2014, author = {Deuflhard, Peter and Weber, Marcus}, title = {Mathematics without pain}, volume = {1}, journal = {MATHEON-Mathematics for Key Technologies}, editor = {Deuflhard, Peter and Gr{\"o}tschel, Martin and H{\"o}mberg, Dietmar and Horst, Ulrich and Kramer, J{\"u}rg and Mehrmann, Volker and Polthier, Konrad and Schmidt, Frank and Skutella, Martin and Sprekels, J{\"u}rgen}, publisher = {European Mathematical Society}, doi = {10.4171/137}, pages = {26 -- 28}, year = {2014}, language = {en} } @misc{WernerAurzadaBleyetal.2014, author = {Werner, Axel and Aurzada, Frank and Bley, Andreas and Eisenbl{\"a}tter, Andreas and Geerdes, Hans-Florian and Guillemard, Mijail and Kutyniok, Gitta and Philipp, Friedrich and Raack, Christian and Scheutzow, Michael}, title = {Mathematics for telecommunications}, volume = {1}, journal = {MATHEON - Mathematics for Key Technologies}, editor = {Deuflhard, Peter and Gr{\"o}tschel, Martin and H{\"o}mberg, Dietmar and Horst, Ulrich and Kramer, J{\"u}rg and Mehrmann, Volker and Polthier, Konrad and Schmidt, Frank and Sch{\"u}tte, Christof and Skutella, Martin and Sprekels, J{\"u}rgen}, edition = {EMS Series in Industrial and Applied Mathematics}, publisher = {European Mathematical Society}, doi = {10.4171/137}, pages = {75 -- 89}, year = {2014}, language = {en} } @misc{WendeSteinkeKlemmetal.2014, author = {Wende, Florian and Steinke, Thomas and Klemm, Michael and Reinefeld, Alexander}, title = {Concurrent Kernel Offloading}, journal = {High Performance Parallelism Pearls}, editor = {Reinders, James and Jeffers, Jim}, publisher = {Morgan Kaufman, Elsevier}, isbn = {978-0128021187}, year = {2014}, language = {en} } @misc{KochMartinPfetsch2013, author = {Koch, Thorsten and Martin, Alexander and Pfetsch, Marc}, title = {Progress in Academic Computational Integer Programming}, journal = {Facets of Combinatorial Optimization}, editor = {J{\"u}nger, Michael and Reinelt, Gerhard}, publisher = {Springer}, doi = {10.1007/978-3-642-38189-8_19}, pages = {483 -- 506}, year = {2013}, language = {en} } @misc{RedemannWeberMoelleretal.2014, author = {Redemann, Stefanie and Weber, Britta and M{\"o}ller, Marit and Verbavatz, Jean-Marc and Hyman, Anthony and Baum, Daniel and Prohaska, Steffen and M{\"u}ller-Reichert, Thomas}, title = {The Segmentation of Microtubules in Electron Tomograms Using Amira}, journal = {Mitosis: Methods and Protocols}, publisher = {Springer}, doi = {10.1007/978-1-4939-0329-0_12}, pages = {261 -- 278}, year = {2014}, language = {en} }