Pia Domschke
Professor of Mathematics & Statistics (Education) • Professor
Professor of Mathematics & Statistics (Education)
Pia Domschke has been a lecturer at the Frankfurt School of Finance & Management since 2019 and was appointed Professor of Mathematics and Statistics (Education) in 2024. In her teaching, she is responsible for the areas of mathematics and statistics and coordinates the corresponding modules in all bachelor's programs.
Previously, she led a junior research group as an Athene Young Investigator at the Technical University of Darmstadt and was a Principal Investigator in the DFG Collaborative Research Center Transregio 154 "Modeling, Simulation and Optimization Using the Example of Gas Networks." Her research focuses on numerical analysis, particularly the numerical analysis of partial differential equations. She concentrates on the simulation of gas networks as well as the modeling and simulation of tumor growth in tissues.
Pia Domschke studied mathematics at Technische Universität Darmstadt, where she also received her PhD. As a postdoctoral research fellow, she spent a year conducting research at the University of Dundee in Scotland.
Previously, she led a junior research group as an Athene Young Investigator at the Technical University of Darmstadt and was a Principal Investigator in the DFG Collaborative Research Center Transregio 154 "Modeling, Simulation and Optimization Using the Example of Gas Networks." Her research focuses on numerical analysis, particularly the numerical analysis of partial differential equations. She concentrates on the simulation of gas networks as well as the modeling and simulation of tumor growth in tissues.
Pia Domschke studied mathematics at Technische Universität Darmstadt, where she also received her PhD. As a postdoctoral research fellow, she spent a year conducting research at the University of Dundee in Scotland.
- Computational Science & Philosophy Department
- Professor
- Faculty
PUBLICATIONS
Domschke, P., Kolb, O., Lang, J., 2022. Fast and Reliable Transient Simulation and Continuous Optimization of Large-Scale Gas Networks, Mathematical Methods of Operations Research Vol. 95, pp. 475-501.
Mindt, P., Lang, J., Domschke, P., 2019. Entropy-Preserving Coupling of Hierarchical Gas Models, SIAM Journal on Mathematical Analysis Vol. 51(6), pp. 4754-4775.
Domschke, P., Dua, A., Stolwijk, J., Lang, J., Mehrmann, V., 2018. Adaptive refinement strategies for the simulation of gas flow in networks using a model hierarchy, Electronic Transactions on Numerical Analysis Vol. 48, pp. 97-113.
Hodgkinson, A., Chaplain, M., Domschke, P., Trucu, D., 2018. Computational Approaches and Analysis for a Spatio-Structural-Temporal Invasive Carcinoma Model, Bulletin of Mathematical Biology Vol. 80(4), pp. 701-737.
Domschke, P., Trucu, D., Gerisch, A., Chaplain, M., 2017. Structured models of cell migration incorporating molecular binding processes, Journal of Mathematical Biology Vol. 75(6-7), pp. 1517-1561.
Domschke, P., Kolb, O., Lang, J., 2016. Adaptive Modelling, Simulation and Optimization of Gas and Water Supply Networks, Proceedings in Applied Mathematics and Mechanics Vol. 16(1), pp. 839-840.
Domschke, P., Kolb, O., Lang, J., 2015. Adjoint-based error control for the simulation and optimization of gas and water supply networks, Applied Mathematics and Computation Vol. 259, pp. 1003-1018.
Domschke, P., Trucu, D., Gerisch, A., Chaplain, M., 2014. Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns, Journal of Theoretical Biology Vol. 361, pp. 41-60.
Domschke, P., Kolb, O., Lang, J., 2011. Adjoint-based control of model and discretisation errors for gas flow in networks, International Journal of Mathematical Modelling and Numerical Optimisation Vol. 2(2), p. 175.
Domschke, P., Geissler, B., Kolb, O., Lang, J., Martin, A., Morsi, A., 2011. Combination of Nonlinear and Linear Optimization of Transient Gas Networks, INFORMS Journal on Computing Vol. 23(4), pp. 493-655.
Kolb, O., Domschke, P., Lang, J., 2010. Modified QR decomposition to avoid non-uniqueness in water supply networks with extension to adjoint calculus, Procedia Computer Science Vol. 1(1), pp. 1427-1434.
Mindt, P., Lang, J., Domschke, P., 2019. Entropy-Preserving Coupling of Hierarchical Gas Models, SIAM Journal on Mathematical Analysis Vol. 51(6), pp. 4754-4775.
Domschke, P., Dua, A., Stolwijk, J., Lang, J., Mehrmann, V., 2018. Adaptive refinement strategies for the simulation of gas flow in networks using a model hierarchy, Electronic Transactions on Numerical Analysis Vol. 48, pp. 97-113.
Hodgkinson, A., Chaplain, M., Domschke, P., Trucu, D., 2018. Computational Approaches and Analysis for a Spatio-Structural-Temporal Invasive Carcinoma Model, Bulletin of Mathematical Biology Vol. 80(4), pp. 701-737.
Domschke, P., Trucu, D., Gerisch, A., Chaplain, M., 2017. Structured models of cell migration incorporating molecular binding processes, Journal of Mathematical Biology Vol. 75(6-7), pp. 1517-1561.
Domschke, P., Kolb, O., Lang, J., 2016. Adaptive Modelling, Simulation and Optimization of Gas and Water Supply Networks, Proceedings in Applied Mathematics and Mechanics Vol. 16(1), pp. 839-840.
Domschke, P., Kolb, O., Lang, J., 2015. Adjoint-based error control for the simulation and optimization of gas and water supply networks, Applied Mathematics and Computation Vol. 259, pp. 1003-1018.
Domschke, P., Trucu, D., Gerisch, A., Chaplain, M., 2014. Mathematical modelling of cancer invasion: implications of cell adhesion variability for tumour infiltrative growth patterns, Journal of Theoretical Biology Vol. 361, pp. 41-60.
Domschke, P., Kolb, O., Lang, J., 2011. Adjoint-based control of model and discretisation errors for gas flow in networks, International Journal of Mathematical Modelling and Numerical Optimisation Vol. 2(2), p. 175.
Domschke, P., Geissler, B., Kolb, O., Lang, J., Martin, A., Morsi, A., 2011. Combination of Nonlinear and Linear Optimization of Transient Gas Networks, INFORMS Journal on Computing Vol. 23(4), pp. 493-655.
Kolb, O., Domschke, P., Lang, J., 2010. Modified QR decomposition to avoid non-uniqueness in water supply networks with extension to adjoint calculus, Procedia Computer Science Vol. 1(1), pp. 1427-1434.
Domschke, P., Kolb, O., Lang, J., 2011, Adjoint-Based Error Control for the Simulation of Gas and Water Supply Networks, in: Denis Aubry, Bing Tie, Pedro Díez, Núria Parés (eds): Adaptive Modeling and Simulation 2011, Barcelona: International Center for Numerical Methods in Engineering (CIMNE), pp. 183-194.
Domschke, P., Kolb, O., Lang, J., 2009, Hierarchical modelling and model adaptivity for gas flow on networks, in: Gabrielle Allen (ed): Computational Science: ICCS 2009, Proceedings, Part I, Berlin [u.a.]: Springer, pp. 337-346.
Domschke, P., Kolb, O., Lang, J., 2009, Hierarchical modelling and model adaptivity for gas flow on networks, in: Gabrielle Allen (ed): Computational Science: ICCS 2009, Proceedings, Part I, Berlin [u.a.]: Springer, pp. 337-346.
Lang, J., Domschke, P., Strauch, E., 2022, Adaptive Single- and Multilevel Stochastic Collocation Methods for Uncertain Gas Transport in Large-Scale Networks, in: Rubén Sevilla, Simona Perotto, Kenneth Morgan (eds): Mesh Generation and Adaptation, Cham: Springer, pp. 113-135.
Trucu, D., Domschke, P., Gerisch, A., Chaplain, M., 2016, Multiscale Computational Modelling and Analysis of Cancer Invasion, in: Luigi Preziosi, Mark Chaplain, Andrea Pugliese (eds): Mathematical Models and Methods for Living Systems, Cham: Springer, pp. 275-321.
Domschke, P., Kolb, O., Lang, J., 2011, Adjoint-Based Control of Model and Discretization Errors for Gas and Water Supply Networks, in: Xin-She Yang, Slawomir Koziel (eds): Computational Optimization and Applications in Engineering and Industry, Berlin [u.a.]: Springer, pp. 1-17.
Kolb, O., Domschke, P., Lang, J., 2010, Moving Penalty Functions for Optimal Control with PDEs on Networks, in: Alistair D. Fitt, John Norbury, Hilary Ockendon, Eddie Wilson (eds): Progress in Industrial Mathematics at ECMI 2008, Berlin [u.a.]: Springer, pp. 925-931.
Trucu, D., Domschke, P., Gerisch, A., Chaplain, M., 2016, Multiscale Computational Modelling and Analysis of Cancer Invasion, in: Luigi Preziosi, Mark Chaplain, Andrea Pugliese (eds): Mathematical Models and Methods for Living Systems, Cham: Springer, pp. 275-321.
Domschke, P., Kolb, O., Lang, J., 2011, Adjoint-Based Control of Model and Discretization Errors for Gas and Water Supply Networks, in: Xin-She Yang, Slawomir Koziel (eds): Computational Optimization and Applications in Engineering and Industry, Berlin [u.a.]: Springer, pp. 1-17.
Kolb, O., Domschke, P., Lang, J., 2010, Moving Penalty Functions for Optimal Control with PDEs on Networks, in: Alistair D. Fitt, John Norbury, Hilary Ockendon, Eddie Wilson (eds): Progress in Industrial Mathematics at ECMI 2008, Berlin [u.a.]: Springer, pp. 925-931.
Domschke, P., Groß, M., Hante, F., Hiller, B., Schewe, L., Schmidt, M., 2015. Mathematische Modellierung, Simulation und Optimierung von Gastransportnetzwerken, gwf: Gas+Energie Bd. 156(11), pp. 880-885.
Domschke, P., Kolb, O., Lang, J., 2010. An adaptive model switching and discretization algorithm for gas flow on networks, Procedia Computer Science Vol. 1(1), pp. 1331-1340.
Kolb, O., Lang, J., Bales, P., Domschke, P., 2010. An implicit box scheme for subsonic compressible flow with dissipative source term, Numerical Algorithms Vol. 53(2-3), pp. 293-307.
Domschke, P., Kolb, O., Lang, J., 2010. An adaptive model switching and discretization algorithm for gas flow on networks, Procedia Computer Science Vol. 1(1), pp. 1331-1340.
Kolb, O., Lang, J., Bales, P., Domschke, P., 2010. An implicit box scheme for subsonic compressible flow with dissipative source term, Numerical Algorithms Vol. 53(2-3), pp. 293-307.
Domschke, P., Hiller, B., Lang, J., Mehrmann, V., Morandin, R., Tischendorf, C., 2021. Gas Network Modeling: an overview.
Domschke, P., Hiller, B., Lang, J., Tischendorf, C., 2017. Modellierung von Gasnetzwerken: eine Übersicht.
Domschke, P., Hiller, B., Lang, J., Tischendorf, C., 2017. Modellierung von Gasnetzwerken: eine Übersicht.
Domschke, P., Kolb, O., Lang, J.
Adaptive linearized models for optimization of gas networks
Adaptive linearized models for optimization of gas networks
| 6th International Congress on Industrial and Applied Mathematics, 2007, Zürich. |
Pia Domschke
Professor of Mathematics & Statistics (Education)
069 154008-895
OFFICE HOURS
During the lecture period
By appointment
Room
A5.02
OFFICE HOURS
During the lecture period
By appointment
Room
A5.02