Prof. Dr. Oliver Kolb

Contact

Junior Professor
B6, Room C304

kolb(at)uni-mannheim.de

Tel.: +49 (0)621 181-2432
Fax: +49 (0)621 181-3577

Office hour: by appointment

Teaching

  • FSS 2019: Numerik (Lecture + Tutorials)

Research Interests

  • Numerical schemes for PDEs, in particular hyperbolic balance laws on networks
  • Nonlinear and mixed integer linear programming
  • Uncertainty quantification

Resume

10/01 - 03/06: Studies in Mathematics with Computer Sciences, TU Darmstadt
03/06: Diploma in Mathematics
04/06 - 08/12: Research Assistant in the Department of Mathematics at TU Darmstadt
02/11: PhD in Mathematics
since 09/12: W1-Professor at the School of Business Informatics and Mathematics, University of Mannheim

Publications

Recent work

  1. Jan Friedrich, Oliver Kolb - Maximum principle satisfying CWENO schemes for non-local conservation laws - accepted for publication in SIAM Journal on Scientific Computing (preprint available on arXiv)
  2. Eike Fokken, Simone Göttlich, Oliver Kolb - Modeling and simulation of gas networks coupled to power grids - submitted (preprint available on arXiv)
  3. Eike Fokken, Simone Göttlich, Oliver Kolb - Optimal control of compressor stations in a coupled gas-to-power network - submitted (preprint available on arXiv)

Journal articles

  1. Oliver Kolb, Guillaume Costeseque, Paola Goatin, Simone Göttlich - Pareto-Optimal Coupling Conditions for the Aw-Rascle-Zhang Traffic Flow Model at Junctions - SIAM Journal on Applied Mathematics, Vol. 78(4), pp. 1981-2002, 2018 (DOI 10.1137/17M1136900)
  2. Jan Friedrich, Oliver Kolb, Simone Göttlich - A Godunov type scheme for a class of LWR traffic flow models with non-local flux - Networks and Heterogeneous Media, Vol. 13 (4), pp. 531-547, 2018 (DOI 10.3934/nhm.2018024)
  3. Alexander Naumann, Oliver Kolb, Matteo Semplice - On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws - Applied Mathematics and Computation, Vol. 325, pp. 252-270, 2018; (DOI 10.1016/j.amc.2017.12.041 - preprint available on arXiv)
  4. Oliver Kolb - A Third Order Hierarchical Basis WENO Interpolation for Sparse Grids with Application to Conservation Laws with Uncertain Data - Journal of Scientific Computing, Vol. 74(3), pp. 1480-1503, 2018; (DOI 10.1007/s10915-017-0503-y)
  5. Oliver Kolb, Simone Göttlich, Paola Goatin - Capacity drop and traffic control for a second order traffic model - Networks and Heterogeneous Media, Vol. 12(4), pp. 663-681, 2017; (DOI 10.3934/nhm.2017027)
  6. Paola Goatin, Simone Göttlich, Oliver Kolb - Speed limit and ramp metering control for traffic flow networks - Engineering Optimization, Vol. 48(7), pp. 1121-1144, 2016; (DOI 10.1080/0305215X.2015.1097099)
  7. Pia Domschke, Oliver Kolb, Jens Lang - Adjoint-based error control for the simulation and optimization of gas and water supply networks - Applied Mathematics and Computation, Vol. 259, pp. 1003-1018, 2015; (DOI 10.1016/j.amc.2015.03.029)
  8. Oliver Kolb, Simone Göttlich - A Continuous Buffer Allocation Model Using Stochastic Processes - European Journal of Operational Research, Vol. 242(3), pp. 865-874, 2015; (DOI 10.1016/j.ejor.2014.10.065)
  9. Oliver Kolb - On the Full and Global Accuracy of a Compact Third Order WENO Scheme - SIAM Journal on Numerical Analysis, Vol. 52(5), pp. 2335-2355, 2014; (DOI 10.1137/130947568)
  10. Simone Göttlich, Oliver Kolb, Sebastian Kühn - Optimization for a special class of traffic flow models: combinatorial and continuous approaches - Networks and Heterogeneous Media, Vol. 9(2), pp. 315 - 334, 2014; (DOI 10.3934/nhm.2014.9.315)
  11. Björn Geißler, Oliver Kolb, Jens Lang, Günter Leugering, Alexander Martin, Antonio Morsi - Mixed Integer Linear Models for the Optimization of Dynamical Transport Networks - Mathematical Methods of Operations Research, Vol. 73(3), pp. 339-362, 2011; (DOI 10.1007/s00186-011-0354-5)
  12. Pia Domschke, Oliver Kolb, Jens Lang - Adjoint-based control of model and discretisation errors for gas flow in networks - Int. J. Mathematical Modelling and Numerical Optimisation, Vol. 2(2), pp. 175-193, 2011; (DOI 10.1504/IJMMNO.2011.039427)
  13. Pia Domschke, Björn Geißler, Oliver Kolb, Jens Lang, Alexander Martin, Antonio Morsi - Combination of Nonlinear and Linear Optimization of Transient Gas Networks - INFORMS Journal on Computing, Volume 23, No. 4, Fall 2011, pp. 605-617; (DOI 10.1287/ijoc.1100.0429)
  14. Oliver Kolb, Jens Lang, Pia Bales - An Implicit Box Scheme for Subsonic Compressible Flow with Dissipative Source Term - Numerical Algorithms: Volume 53, Issue 2, pp. 293-307, Springer (2010); (DOI 10.1007/s11075-009-9287-y) 

Refereed proceedings/chapters in books

  1. Magnus Müller, Guido Moerkotte, Oliver Kolb - Improved Selectivity Estimation by Combining Knowledge from Sampling and Synopses - Proceedings of the Very Large Database (VLDB) Endowment, Vol. 11(9), pp. 1016-1028, 2018
  2. Oliver Kolb, Leif Döring, Melanie Klinger, Martin Schlather, Martin Schmidt - Individualisierte Tutorien im Mathematik-Studium - Erste Versuche und Erfahrungen - Neues Handbuch Hochschullehre, Kapitel F 6.13, 2017
  3. Oliver Kolb - On the Full and Global Accuracy of a Compact Third Order WENO Scheme: Part II -  Lecture Notes in Computational Science and Engineering, Vol. 112, pp. 53-62 (2016); (DOI 10.1007/978-3-319-39929-4_6)
  4. Lisa Wagner, Jens Lang, Oliver Kolb - Second order implicit schemes for scalar conservation laws -  Lecture Notes in Computational Science and Engineering, Vol. 112, pp. 33-41 (2016); (DOI 10.1007/978-3-319-39929-4_4)
  5. Pia Domschke, Oliver Kolb, Jens Lang - Adaptive Modelling, Simulation and Optimization of Gas and Water Supply Networks - Proc. Appl. Math. Mech. Vol. 16, pp. 839-840 (2016); (DOI 10.1002/pamm.201610408)
  6. Pia Domschke, Oliver Kolb, Jens Lang - Adjoint-Based Error Control for the Simulation of Gas and Water Supply Networks - Adaptive Modeling and Simulation 2011, pp. 168-179; CIMNE 2012
  7. Oliver Kolb, Jens Lang - Simulation and Continuous Optimization - Mathematical Optimization of Water Networks, pp. 17-33, Springer 2012
  8. Oliver Kolb, Antonio Morsi, Jens Lang, Alexander Martin - Nonlinear and Mixed Integer Linear Programming - Mathematical Optimization of Water Networks, pp. 57-69, Springer 2012
  9. Pia Domschke, Oliver Kolb, Jens Lang - Adjoint-based control of model and discretisation errors for gas and water supply networks - Computational Optimization and Applications in Engineering and Industry, pp. 1-17, Springer (2011)  
  10. Oliver Kolb, Pia Domschke, Jens Lang - Modified QR Decomposition to Avoid Non-Uniqueness in Water Supply Networks with Extension to Adjoint Calculus - Procedia Computer Science, Volume 1, Issue 1, May 2010, pp. 1421-1428; (DOI: 10.1016/j.procs.2010.04.158)
  11. Pia Domschke, Oliver Kolb, Jens Lang - An Adaptive Model Switching and Discretization Algorithm for Gas Flow on Networks - Procedia Computer Science, Volume 1, Issue 1, May 2010, pp. 1325-1334; (DOI: 10.1016/j.procs.2010.04.148)
  12. Pia Bales, Oliver Kolb, Jens Lang - Hierarchical modelling and model adaptivity for gas flow on networks - ICCS 2009, Part I, LNCS 5544, pp. 337–346, Springer (2009); (DOI 10.1007/978-3-642-01970-8_33)
  13. Oliver Kolb, Pia Domschke, Jens Lang - Moving Penalty Functions for Optimal Control with PDEs on Networks - Progress in Industrial Mathematics at ECMI 2008, pp. 925-931, Springer (2010); (DOI 10.1007/978-3-642-12110-4_148)
  14. Oliver Kolb, Jens Lang, Pia Bales - Adaptive linearized models for optimization of gas networks - Proc. Appl. Math. Mech., Vol. 7, pp. 1061301-1061302 (2007); (DOI 10.1002/pamm.200700089)

 Theses

  1. Oliver Kolb - Simulation and Optimization of Gas and Water Supply Networks - Dissertation, TU Darmstadt, ISBN 978-3-8439-0075-1 (2011)
  2. Oliver Kolb - Influence of the Yarkovsky Effect on Celestial Bodies - Diploma Thesis, TU Darmstadt, Department of Mathematics in cooperation with the European Space Operations Centre ESOC (2006)