Since 2019, Matheon's application-oriented mathematical research activities are being continued in the framework of the Cluster of Excellence MATH+
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Duote Chen, Phillip Manley, Philipp Tockhorn, David Eisenhauer, Grit Köppel, Martin Hammerschmidt, Sven Burger, Steve Albrecht, Christiane Becker, Klaus Jäger.
Nanophotonic light management for perovskite–silicon tandem solar cells.J. Photon. Energy,
8(2):022601, 2018.
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.
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.
N. Guglielmi, C. Lubich, and V. Mehrmann.
On the nearest singular matrix pencil.SIAM J. Matr. Anal. Appl.,
38(3):776–806, 2017.
E. Meca, A. Münch, and B. Wagner.
Sharp-interface formation during lithium intercalation into silicon.European Journal of Applied Mathematics:1-28, 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.
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.
S. Nicaise and F. Tröltzsch.
Optimal control of some quasilinear Maxwell equations of parabolic type.Discrete and Continuous Dynamical Systems - S:Accepted, 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.
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.
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. 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.
H. Rauhut, R. Schneider, and Ž. Stojanac.
Low rank tensor recovery via iterative hard thresholding.Linear Algebra and its Applications,
523:220-262, 2017.
S. Döpking and S. Matera.
Error propagation in first-principles kinetic Monte Carlo simulation.Chem. Phys. Lett.,
674:28-32, 2017.
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.
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. 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.
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.
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.
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.
A. Andresen and V. Spokoiny.
Convergence of an alternating maximization procedure.J. Mach. Learn. Res.,
17(63):1−53, 2016.
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.
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. P. M. Eigel and R. Schneider.
Adaptive stochastic Galerkin FEM with hierarchical tensor representations.Numer. Math.:1–39, 2016.
F. Tröltzsch and A. Valli.
Optimal control of low-frequency electromagnetic fields in multiply connected conductors.Optimization,
65(9):1651-1673, 2016.
M. Bachmayr and R. Schneider.
Iterative methods based on soft thresholding of hierarchical tensors.Found. Comput. Math.,
17(4):1037–1083, 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.
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.
C. Gräser, M. Kahnt, and R. Kornhuber.
Numerical approximation of multi-phase Penrose–Fife systems.Comput. Methods Appl. Math.,
16(4):523–542, 2016.
M. Eigel, M. Pfeffer, and R. Schneider.
Adaptive stochastic Galerkin FEM with hierarchical tensor representations.Numerische Mathematik:1-39, 2016.
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.
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, 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. 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.
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.
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.
V. Spokoiny and M. Zhilova.
Bootstrap confidence sets under model misspecification.Ann. Statist.,
43(6):2653–2675, 2015.
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.
H. Rauhut, R. Schneider, and Ž. Stojanac.
Compressed Sensing and its Applications. Tensor completion in hierarchical tensor representations.Springer: 419-450, 2015.
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.
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.
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.
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.
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.
C. Heinemann and C. Kraus.
Phase Separation Coupled with Damage Processes.Springer-Verlag: 173 p., 2014.
M. Korzec, M. Roczen, M. Schade, B. Wagner, and B. Rech.
Equilibrium shapes of poly-crystalline silicon nanodots.J. Appl. Phys.,
115:074304, 2014.
G. Kutyniok and P. Grohs.
Parabolic molecules.Found. Comput. Math.,
14:299–337, 2014.
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. Hintermüller and D. Wegner.
Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system.SIAM J. Control Optim.,
52(1):747–772, 2014.
A. V. Lavrinenko, J. Laegsgaard, N. Gregersen, F. Schmidt, and T. Soendergaard.
Numerical Methods in Photonics.CRC Press: 362 p., 2014.
C. Bayer and J. Schoenmakers.
Simulation of forward-reverse stochastic representations for conditional diffusions.Ann. Appl. Probab.,
24(5):1994–2032, 2014.
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. Gräser, R. Kornhuber, and U. Sack.
Numerical simulation of coarsening in binary solder alloys.Comp. Mater. Sci.,
93:221–233, 2014.
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.
W. Hackbusch and R. Schneider.
In Extraction of Quantifiable Information from Complex Systems. Tensor spaces and hierarchical tensor representations.Springer: 237–261, 2014.
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.
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.
