Publications

  • A. Andresen and V. Spokoiny. Convergence of an alternating maximization procedure. J. Mach. Learn. Res., 17(63):1−53, 2016.
  • A. Fischer, T. Koprucki, K. Gärtner, M. L. Tietze, J. Brückner, B. Lüssem, K. Leo, A. Glitzky, and R. Scholz. Feel the heat: Nonlinear electrothermal feedback in organic LEDs. Adv. Funct. Mater., 24:3366–3366, 2014.
  • A. Glitzky and M. Liero. Analysis of p(x)-Laplace thermistor models describing the electrothermal behavior of organic semiconductor devices. Nonlinear Anal. Real World Appl., 34:536–562, 2017.
  • A. Roggensack and C. Kraus. Existence of weak solutions for the Cahn-Hilliard reaction model including elastic effects and damage. J. Partial Differ. Equ., 30:111-145, 2017.
  • A. V. Lavrinenko, J. Laegsgaard, N. Gregersen, F. Schmidt, and T. Soendergaard. Numerical Methods in Photonics. CRC Press: 362 p., 2014.
  • B. Schmidt and U. Lorenz. WavePacket: A Matlab package for numerical quantum dynamics. I: Closed quantum systems and discrete variable representations. Computer Physics Communications, 213:223–234, 2017.
  • C. Bayer and J. Schoenmakers. Simulation of forward-reverse stochastic representations for conditional diffusions. Ann. Appl. Probab., 24(5):1994–2032, 2014.
  • C. Bayer, P. K. Friz, S. Riedel, and J. Schoenmakers. From rough path estimates to multilevel Monte Carlo. SIAM J. Numer. Anal., 54(3):1449–1483, 2016.
  • C. Brett, C. M. Elliott, M. Hintermüller, and C. Löbhard. Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state. Interfaces Free Bound., 17(1):25-53, 2015.
  • C. Engwer, C. Gräser, S. Müthing, and O. Sander. The interface for functions in the dune-functions module. Archive of Numerical Software, 5(1):95–109, 2017.
  • C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, C. Zhou, T. Koschny, and C. M. Soukoulis. Magnetic metamaterials at telecommunication and visible frequencies. Phys. Rev. Lett., 95:203901, 2005.
  • C. Gräser, M. Kahnt, and R. Kornhuber. Numerical approximation of multi-phase Penrose–Fife systems. Comput. Methods Appl. Math., 16(4):523–542, 2016.
  • C. Gräser, R. Kornhuber, and U. Sack. Numerical simulation of coarsening in binary solder alloys. Comp. Mater. Sci., 93:221–233, 2014.
  • C. Hartmann, C. Schütte, M. Weber, and W. Zhang. Importance sampling in path space for diffusion processes with slow-fast variables. Probab. Theory Relat. Fields:1–52, 2017.
  • C. Hartmann, J. Latorre, G. Pavliotis, and W. Zhang. Optimal control of multiscale systems using reducedorder models. J. Computational Dynamics, 1:279–306, 2014.
  • C. Heinemann and C. Kraus. Phase Separation Coupled with Damage Processes. Springer-Verlag: 173 p., 2014.
  • C. Mehl, V. Mehrmann, A. Ran, and L. Rodman. Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations. Linear and Multilinear Algebra, 64(3):527–556, 2016.
  • C. Mehl, V. Mehrmann, and P. Sharma. Stability radii for linear hamiltonian systems with dissipation under structure-preserving perturbations. SIAM. J. Matrix Anal. & Appl., 37(4):1625–1654, 2016.
  • E. Meca, A. Münch, and B. Wagner. Sharp-interface formation during lithium intercalation into silicon. European Journal of Applied Mathematics:1-28, 2017.
  • F. Anker, C. Bayer, M. Eigel, M. Ladkau, J. Neumann, and J. Schoenmakers. Sde based regression for random pdes. SIAM J. on Sci. Comp.:1-28, 2017.
  • F. Nüske, R. Schneider, F. Vitalini, and F. Noé. Variational tensor approach for approximating the rare-event kinetics of macromolecular systems. J. Chem. Phys., 144:054105, 2015.
  • F. Tröltzsch and A. Valli. Optimal control of low-frequency electromagnetic fields in multiply connected conductors. Optimization, 65(9):1651-1673, 2016.
  • G. Kutyniok and P. Grohs. Parabolic molecules. Found. Comput. Math., 14:299–337, 2014.
  • H. Rauhut, R. Schneider, and Ž. Stojanac. Compressed Sensing and its Applications. Tensor completion in hierarchical tensor representations. Springer: 419-450, 2015.
  • H. Rauhut, R. Schneider, and Ž. Stojanac. Low rank tensor recovery via iterative hard thresholding. Linear Algebra and its Applications, 523:220–262, 2017.
  • H. Rauhut, R. Schneider, and Ž. Stojanac. Low rank tensor recovery via iterative hard thresholding. Linear Algebra and its Applications, 523:220-262, 2017.
  • K. Jäger, C. Barth, M. Hammerschmidt, S. Herrmann, S. Burger, F. Schmidt, and C. Becker. Simulations of sinusoidal nanotextures for coupling light into c-si thin-film solar cells. Opt. Express, 24(6):A569-A580 , 2016.
  • K.M. McPeak, C.D. van Engers, S. Bianchi, A. Rossinelli, L. V. Poulikakos, L. Bernard, S. Herrmann, D. K. Kim, S. Burger, M. Blome, S. V. Jayanti, and D. J. Norris. Ultraviolet plasmonic chirality from colloidal aluminum nanoparticles exhibiting charge-selective protein detection. Adv. Mater., 27(40):6244–6250 , 2015.
  • L. Jansen and C. Tischendorf. Progress in Differential-Algebraic Equations, Differential-Algebraic Equations Forum. A unified (P)DAE modeling approach for flow networks. S. Schöps, A. Bartel, M. Günther, E. J. W. ter Maten, and P. C. Müller, editors: 127–151, 2014.
  • M. Bachmayr and R. Schneider. Iterative methods based on soft thresholding of hierarchical tensors. Found. Comput. Math., 17(4):1037–1083, 2016.
  • M. Bachmayr, R. Schneider, and A. Uschmajew. Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations. Foundations of Computational Mathematics, 16(6):1423–1472, 2016.
  • M. Blatt, A. Burchardt, A. Dedner, C. Engwer, J. Fahlke, B. Flemisch, C. Gersbacher, C. Gräser, F. Gruber, C. Grüninger, D. Kempf, R. Klöfkorn, T. Malkmus, S. Müthing, M. Nolte, M. Piatkowski, and O. Sander. The distributed and unified numerics environment, version 2.4. Archive of Numerical Software, 4(100):13-29, 2016.
  • M. Bulícek, A. Glitzky, and M. Liero. Systems describing electrothermal effects with p(x)-Laplace like structure for discontinuous variable exponents. SIAM J. Math. Anal., 48(5):3496–3514, 2016.
  • M. Bulícek, A. Glitzky, and M. Liero. Thermistor systems of p(x)-Laplace-type with discontinuous expo- nents via entropy solutions. DCDS-S, 10(4):697–713, 2017.
  • M. Eigel, C. J. Gittelson, C. Schwab, and E. Zander. Adaptive stochastic Galerkin FEM. Computer Methods in Applied Mechanics and Engineering, 270:247-269, 2014.
  • M. Eigel, C. J. Gittelson, C. Schwab, and E. Zander. A convergent adaptive stochastic Galerkin finite element method with quasi-optimal spatial meshes. ESAIM: Mathematical Modelling and Numerical Analysis, 49(5):1367-1398, 2015.
  • M. Eigel, M. Pfeffer, and R. Schneider. Adaptive stochastic Galerkin FEM with hierarchical tensor representations. Numerische Mathematik:1-39, 2016.
  • M. Hintermüler and C. N. Rautenberg. On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities. Portugaliae Mathematica, 74:1-35, 2016.
  • M. Hintermüller and C. N. Rautenberg. Optimal selection of the regularization function in a generalized total variation model. Part I: Modelling and theory. WIAS Preprint, No. 2235:1-24, 2016.
  • M. Hintermüller and D. Wegner. Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system. SIAM J. Control Optim., 52(1):747–772, 2014.
  • M. Hintermüller and D. Wegner. In Topological Optimization and Optimal Transport. In the Applied Sciences. Radon Series on Computational and Applied Mathematics. Distributed and boundary control problems for the semidiscrete Cahn- Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies. Editors M. Bergounioux, E. Oudet, M. Rumpf: 29 p., 17, 2017.
  • M. Hintermüller, C. N. Rautenberg, and M. Mohammadi. Optimal sensor placement: A robust approach. WIAS Preprint, No. 2287:1-36, 2016.
  • M. Hintermüller, C. N. Rautenberg, and S. Rösel. Density of convex intersections and applications. WIAS Preprint, No. 2333:1-33, 2016.
  • M. Hintermüller, C. N.Rautenberg, T. Wu, and A. Langer . Optimal selection of the regularization function in a generalized total variation model. Part I: Modelling and theory. WIAS Preprint, No. 2236:1-26, 2016.
  • M. Hintermüller, R. H. W. Hoppe, and C. Löbhard. Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities. ESAIM Control Optim. Calc. Var., 20(2):524–546, 2014.
  • M. J. Hoffmann, F. Engelmann, and S. Matera. A practical approach to the sensitivity analysis for kinetic Monte Carlo simulation of heterogeneous catalysis. J. Chem. Phys., 146(4):044118, 2017.
  • M. Korzec, M. Roczen, M. Schade, B. Wagner, and B. Rech. Equilibrium shapes of poly-crystalline silicon nanodots. J. Appl. Phys., 115:074304, 2014.
  • M. Liero, T. Koprucki, A. Fischer, R. Scholz, and A. Glitzky. p-Laplace thermistor modeling of electrother- mal feedback in organic semiconductors. Z.. Angew. Math. Phys., 66:2957–2977, 2015.
  • M. P. M. Eigel and R. Schneider. Adaptive stochastic Galerkin FEM with hierarchical tensor representations. Numer. Math.:1–39, 2016.
  • N. Guglielmi, C. Lubich, and V. Mehrmann. On the nearest singular matrix pencil. SIAM J. Matr. Anal. Appl., 38(3):776–806, 2017.
  • N. Ledentsov Jr, V. Shchukin, N. Ledentsov, J. Kropp, S. Burger, and F. Schmidt. Direct evidence of the leaky emission in oxide-confined vertical cavity lasers. EEE J. Quantum Electron., 52(3):2400207, 2016.
  • P. Gelß, S. Klus, S. Matera, and C. Schütte. Nearest-neighbor interaction systems in the tensor-train format. J. Comp. Phys., 341:140 – 162, 2017.
  • P. Gelß, S. Matera, and C. Schütte. Solving the master equation without kinetic Monte Carlo: Tensor train approximations for a CO oxidation model. J. Comp. Phys., 314:489 – 502, 2016.
  • R. Banisch and C. Hartmann. A sparse Markov chain approximation of LQ-type stochastic control problems. Math. Control Relat. F., 6:363–389, 2016.
  • R. Schneider and A. Uschmajew. Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality. SIAM Journal on Optimization, 25(1):622–646, 2015.
  • S. Döpking and S. Matera. Error propagation in first-principles kinetic Monte Carlo simulation. Chem. Phys. Lett., 674:28-32, 2017.
  • S. Matera, S. Blomberg, M. J. Hoffmann, J. Zetterberg, J. Gustafson, E. Lundgren, and K. Reuter. Evidence for the Active Phase of Heterogeneous Catalysts through In Situ Reaction Product Imaging and Multiscale Modeling. ACS Catal., 5(8):4514–4518, 2015.
  • S. Nicaise and F. Tröltzsch. Optimal control of some quasilinear Maxwell equations of parabolic type. Discrete and Continuous Dynamical Systems - S:Accepted, 2017.
  • V. Spokoiny and M. Zhilova. Bootstrap confidence sets under model misspecification. Ann. Statist., 43(6):2653–2675, 2015.
  • W. Hackbusch and R. Schneider. In Extraction of Quantifiable Information from Complex Systems. Tensor spaces and hierarchical tensor representations. Springer: 237–261, 2014.