Lehrstuhl für Angewandte Mathematik

Cauerstraße 11
91058 Erlangen

Subordinate Organisational Units

Professur für Angewandte Mathematik
Professur für Angewandte Mathematik

Related Project(s)

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(TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken):
Decomposition methods for mixed-integer optimal control (A05) (2018 - 2022)
Prof. Dr. Günter Leugering; Prof. Dr. Alexander Martin; Prof. Dr. Martin Schmidt
(01/07/2018 - 30/06/2022)

(SPP 1679: Dynamic Simulation of Interconnected Solids Processes):
Modeling, simulation and optimization of process chains
Prof. Dr. Günter Leugering

MatInEE - Mathematik für Ingenieure: Erfolgreich Einsteigen
Dr. Wigand Rathmann; Nicolai von Schroeders

(TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks):
TRR 154: Admissible Robust nodal control (C03)
apl. Prof. Dr. Martin Gugat

(TRR 154: Mathematical Modelling, Simulation and Optimisation Using the Example of Gas Networks):
Mixed integer-continuous dynamical Systems with partial differential equations (A03)
PD Dr. Falk Hante; Prof. Dr. Günter Leugering

Publications (Download BibTeX)

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Gugat, M., & Hante, F. (2019). ON THE TURNPIKE PHENOMENON FOR OPTIMAL BOUNDARY CONTROL PROBLEMS WITH HYPERBOLIC SYSTEMS. SIAM Journal on Control and Optimization, 57(1), 264-289. https://dx.doi.org/10.1137/17M1134470
Semmler, J., Bley, K., Klupp Taylor, R., Stingl, M., & Vogel, N. (2018). Particulate Coatings with Optimized Haze Properties. Advanced Functional Materials, 5. https://dx.doi.org/10.1002/adfm.201806025
Gugat, M., & Schuster, M. (2018). Stationary Gas Networks with Compressor Control and Random Loads: Optimization with Probabilistic Constraints. Mathematical Problems in Engineering, 2018. https://dx.doi.org/10.1155/2018/7984079
Gugat, M., Leugering, G., Martin, A., Schmidt, M., Sirvent, M., & Wintergerst, D. (2018). MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Computational Optimization and Applications, 70(1), 267-294. https://dx.doi.org/10.1007/s10589-017-9970-1
Knossalla, M. (2018). Continuous outer subdifferentials in nonsmooth optimization. Set-Valued and Variational Analysis, 1-28. https://dx.doi.org/10.1007/s11228-018-0481-8
Rathmann, W., & von Schroeders, N. (2018). Online-Auswertungsverfahren STACK. In Stephanie Gleich (Eds.), Medien im Mathematikunterricht (pp. 39-56). Hildesheim: Franzbecker.
Knossalla, M. (2018). Minimization of marginal functions in mathematical programming based on continuous outer subdifferentials. Optimization, 1-21. https://dx.doi.org/10.1080/02331934.2018.1426579
Gugat, M., Leugering, G., Martin, A., Schmidt, M., Sirvent, M., & Wintergerst, D. (2018). Towards Simulation Based Mixed-Integer Optimization with Differential Equations. Networks, 72(1), 60-83. https://dx.doi.org/10.1002/net.21812
Gugat, M., & Wintergerst, D. (2018). Transient flow in gas networks: Traveling waves. International Journal of Applied Mathematics and Computer Science, 28(2), 341–348. https://dx.doi.org/10.2478/amcs-2018-0025
Bley, K., Semmler, J., Rey, M., Zhao, C., Martic, N., Klupp Taylor, R.,... Vogel, N. (2018). Hierarchical Design of Metal Micro/Nanohole Array Films Optimizes Transparency and Haze Factor. Advanced Functional Materials. https://dx.doi.org/10.1002/adfm.201706965
Gugat, M., Rosier, L., & Perrolaz, V. (2018). Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms. Journal of Evolution Equations. https://dx.doi.org/10.1007/s00028-018-0449-z
Semmler, J., Pflug, L., & Stingl, M. (2018). Material optimization in transverse electromagnetic scattering applications. SIAM Journal on Scientific Computing, 40(1), B85-B109. https://dx.doi.org/10.1137/17M1127569
Keimer, A., Pflug, L., & Spinola, M. (2018). Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping. Journal of Mathematical Analysis and Applications, 466(1), 18-55. https://dx.doi.org/10.1016/j.jmaa.2018.05.013
Gugat, M., & Hante, F. (2017). Lipschitz Continuity of the Value Function in Mixed-Integer Optimal Control Problems. Mathematics of Control Signals and Systems, 29(3). https://dx.doi.org/10.1007/s00498-016-0183-4
Gugat, M., & Ulbrich, S. (2017). The isothermal Euler equations for ideal gas with source term: Product solutions, flow reversal and no blow up. Journal of Mathematical Analysis and Applications, 454(1), 439–452. https://dx.doi.org/10.1016/j.jmaa.2017.04.064
Wormser, M., Wein, F., Stingl, M., & Körner, C. (2017). Design and Additive Manufacturing of 3D Phononic Band Gap Structures Based on Gradient Based Optimization. Materials, 10(10). https://dx.doi.org/10.3390/ma10101125
Leugering, G., Gugat, M., & Wang, K. (2017). NEUMANN BOUNDARY FEEDBACK STABILIZATION FOR A NONLINEAR WAVE EQUATION: A STRICT H-2-LYAPUNOV FUNCTION. Mathematical Control and Related Fields, 7(3), 419-448. https://dx.doi.org/10.3934/mcrf.2017015
Hante, F., & Schmidt, M. (2017). Complementarity-Based Nonlinear Programming Techniques for Optimal Mixing in Gas Networks.
Gugat, M., Leugering, G., & Wang, K. (2017). Neumann boundary feedback stabilization for a nonlinear wave equation: A strict H2-Lyapunov function. Mathematical Control and Related Fields, 7(3), 419 - 448. https://dx.doi.org/10.3934/mcrf.2017015
Werner, S., Stingl, M., & Leugering, G. (2017). Model-based control of dynamic frictional contact problems using the example of hot rolling. Computer Methods in Applied Mechanics and Engineering, 319, 442-471. https://dx.doi.org/10.1016/j.cma.2017.03.006

Last updated on 2016-05-05 at 04:58