Lecturer

PD Dr. Christian Zillober

Lecturer

Chair of Mathematics VII

Emil-Fischer-Straße 30

97074 Würzburg

Building: 30 (Mathematik West)

Room: 02.009

Phone: +49 931 31-85077

Fax: +49 931 31-84675

Email: christian.zillober@uni-wuerzburg.de

Research Interests

Nonlinear Programming
Structural Optimization, Topology Optimization, Industrial Problems
Interior Point Methods
Support Vector Machines, Data Mining, Machine Learning

Publications

Ch. Zillober: Eine global konvergente Methode zur Lösung von Problemen aus der Strukturoptimierung. Doctoral Dissertation, Technische Universität München, 1992.
Ch. Kredler, Ch. Zillober, F. Johannes, G. Sigl: An application of preconditioned conjugate gradients to relative placement in chip design. International Journal for Numerical Methods in Engineering, 36 (1993), pp.255-271.
Ch. Zillober: A globally convergent version of the method of moving asymptotes. Structural Optimization 6 (1993), pp.166-174.
Ch. Zillober: Sequential convex programming in theory and praxis. Structural Optimization 93 - The World Congress on Optimal Design of Structural Systems, Rio de Janeiro, August 2-6, 1993, edited by J. Herskovits, pp. 79-86.
K. Schittkowski, Ch. Zillober, R. Zotemantel: Numerical comparison of Nonlinear Programming algorithms for Structural Optimization. Structural Optimization 7 (1994), pp.1-19.
K. Schittkowski, Ch. Zillober: Sequential convex programming methods. Proceedings of the 2nd GAMM/IFIP-workshop on stochastic optimization: numerical methods and technical applications, Munich, June 15-17, 1993, edited by K. Marti et al. Lecture Notes in Economics and Mathematical Systems 423, pp. 123-141, 1995.
Ch. Zillober, F. Vogel: Solving large scale structural optimization problems. Proceedings of the 2^nd ASMO UK/ISSMO conference on Engineering Design Optimization, Swansea, July 10-11, 2000, pp. 273-280, edited by J. Sienz.
Ch. Zillober, F. Vogel: Adaptive strategies for large scale optimization problems in mechanical engineering. In: Recent Advances in Applied and Theoretical Mathematics, edited by N. Mastorakis, pp. 156-161.
Ch. Zillober: Convex approximation methods for practical optimization. Operations Research Proceedings 2000, edited by B. Fleischmann et al., Springer Verlag, Berlin, Heidelberg, pp. 20-25, 2001.
Ch. Zillober: Stable computation of interior point solutions for a class of nonlinear convex programming problems. Advanced Modeling and Optimization 2, pp. 53-69, 2000.
Ch. Zillober: Global convergence of a Nonlinear Programming method using convex approximations. Numerical Algorithms, Vol. 27, No. 3, pp. 256-289, 2001 (formerly technical report TR99-1).
Ch. Zillober: A combined convex approximation - interior point approach for large scale Nonlinear Programming. Optimization and Engineering, Vol. 2, No. 1, pp. 51-73, 2001 (formerly technical report TR00-1).
Ch. Zillober: Efficient solution of large mathematical programs arising in engineering design optimization with the method of moving asymptotes. Proceedings of the 4th World Congress of Structural and Multidisciplinary Optimization, Dalian/China, edited by G. Cheng et al., Liaoning Electronic Press, 2001.
Ch. Zillober: On the solution of large engineering design problems via mathematical programming. Proceedings in Applied Mathematics and Mechanics (PAMM), Wiley, Vol. 1 (1), pp. 480-481, 2002.
K. Schittkowski, Ch. Zillober: Nonlinear Programming. Encyclopedia of Life Support Systems, UNESCO, Topic: Fundamentals of Optimization and Operations Research, pp. 157-177, 2002.
Ch. Zillober: SCPIP - an efficient software tool for the solution of structural optimization problems. Structural and Multidisciplinary Optimization, Vol. 24, No. 5, pp. 362-371, 2002.
Ch. Zillober, K. Schittkowski, K. Moritzen: Very large scale optimization by sequential convex programming. Optimization Methods and Software, Vol. 19, No. 1, pp. 103-120, 2004.
K. Schittkowski, Ch. Zillober: Nonlinear programming: algorithms, software, and applications. In: System Modeling and Optimization, edited by J. Cagnol and J.-P. Zalesio, Kluwer, pp. 73-108, 2005.
K. Schittkowski, Ch. Zillober: SQP versus SCP methods for nonlinear programming. In: Optimization and Control with Applications, edited by Qi, Teo and Yang, Springer, pp. 305-330, 2005.
Q. Ni, Ch. Zillober, K. Schittkowski: Sequential convex programming methods for solving large topology optimization problems: implementation and computational results. Journal of Computational Mathematics, Vol. 23, No. 5, pp. 491-502, 2005.

F. Johannes, Ch. Kredler, G. Sigl, H. Warsitz, Ch. Zillober: Relative placement in chip design by preconditioned quadratic optimization subject to linear equality constraints.
Schwerpunktprogramm der Deutschen Forschungsgemeinschaft Anwendungsbezogene Optimierung und Steuerung, Report Nr. 158, 1989.
Ch. Zillober: Analyse von konvexen Approximationsmethoden aus der Strukturoptimierung.
Schwerpunktprogramm der Deutschen Forschungsgemeinschaft Anwendungsbezogene Optimierung und Steuerung, Report Nr. 354, 1992.
Ch. Zillober: A globally convergent version of the method of moving asymptotes.
Schwerpunktprogramm der Deutschen Forschungsgemeinschaft Anwendungsbezogene Optimierung und Steuerung, Report Nr. 409, 1992.
K. Schittkowski, Ch. Zillober, R. Zotemantel: Numerical comparison of Nonlinear Programming algorithms for Structural Optimization.
Schwerpunktprogramm der Deutschen Forschungsgemeinschaft Anwendungsbezogene Optimierung und Steuerung, Report Nr. 453, 1993.
Ch. Zillober: SCP - an implementation of a sequential convex programming algorithm for Nonlinear Programming.
Schwerpunktprogramm der Deutschen Forschungsgemeinschaft Anwendungsbezogene Optimierung und Steuerung, Report Nr. 470, 1993.
Ch. Zillober: A practical interior-point method for a Nonlinear Programming problem arising in Sequential Convex Programming.
Technical Report Nr. TR98-1, Informatik, Universität Bayreuth, 1998.
Ch. Zillober: Software manual for SCPIP 2.1. Technical Report Nr. TR00-3, Informatik, Universität Bayreuth, 2000.
Ch. Zillober: Software manual for SCPIP 2.2. Technical Report Nr. TR01-2, Informatik, Universität Bayreuth, 2001.
Ch. Zillober: Software manual for SCPIP 2.3. Technical Report Nr. TR02-1, Informatik, Universität Bayreuth, 2002.
Ch. Zillober: Software manual for SCPIP 3.0. Technical Report, Informatik, Universität Bayreuth, 2004.
S. Ertel, K. Schittkowski, Ch. Zillober: Sequential Convex Programming Methods for Free Material Optimization. PLATO-N Public Report PU-R-4-2007, 2007.
S. Ertel, K. Schittkowski, Ch. Zillober: Sequential Convex Programming for Free Material Optimization with Displacement and Stress Constraints. PLATO-N Public Report PU-R-2-008, 2008.

Teaching

Current Courses (Winter Term 2024/2025)

Winter Term 2024/2025

Vorlesung
Dienstag, 08.30-10.00 Uhr, HS 2 (Philosophiegebäude)
Freitag, 09.10-09.55 Uhr, HS 2 (Philosophiegebäude)
Beginn: 15. Oktober

Übungen
Mittwoch, 10.15-11.45 Uhr, 0.002 (ZHG)
Freitag, 10.15-11.45 Uhr, HS 2 (naturw. Hörsaalgebäude)
Beginn: 23. Oktober

PD Dr. Christian Zillober

Picture credits