Block Course: Optimization with Differential Equations
The main goal of this compact course is to provide insight into the state-of-the-art of the research area Optimization with Differential Equations. To this end, the foundations will be taught in a tutorial part with hands-on practical exercises. In a second part, current research projects will be presented by people working in the field.
The block course will build on a compact overview of deterministic optimization algorithms, derivative generation, and extensions towards optimal control. The theoretic overview will be complemented by practical hands-on exercises in the computer pool of IWR.
The three day introduction will be followed by two days with external speakers reporting on state-of-the-art projects in the field of optimization with differential equations.
Information
Date: July 20 - July 24, 2009
Place: IWR, Heidelberg (Lectures in INF 368, Room 432, Practical Sessions in INF 350, Room U011)
Program outline: 3/2 days theoretical tutorial, 4/2 days practical (hands on), 1/2 day current PhD projects within HGS, 1 day lectures by external experts
Contents: linear and nonlinear optimization, ordinary differential equations, dynamic process models, derivative calculation, optimal control of ODEs, optimal control of PDEs, nonlinear model predictive control
Organizers
The course will be organized and taught (if not otherwise stated) by Sebastian Sager and Holger Diedam.
Material
A nice group picture of all participants is available here and here. Anamaria Bodea uploaded
some pictures of Thursday evening.
pdf files of some talks and additional photos are available in the restricted area.
On Thursday morning current PhD projects of members of the HGS will be presented.
Preliminary program
The preliminary program reads as follows:
Time
Monday
Tuesday
Wednesday
Thursday
Friday
09h00-10h00
Introduction
Dynamic Process Models
Simulation and Derivatives
C. Hoffmann: Design of Optimal Experiments for Model Discrimination S. Lenz: Parameter Estimation
S. Ulbrich: Interior-point and semismooth methods for PDE-constrained optimization
10h00-10h15
Coffee break
Coffee break
Coffee break
Coffee break
Coffee break
10h15-11h15
Linear Programming
Optimal control: An Overview
Algorithms for Modelling: Parameter Estimation, Optimum Experimental Design
S. Schmidt: A 2589 Line Topology Optimization Code Written for the Graphics Card C. Schillings: Aerodynamic Shape Optimzation under Uncertainty
V. Schulz: One-shot methods for PDE constrained shape optimization
11h15-11h30
Coffee break
Coffee break
Coffee break
Coffee break
Coffee break
11h30-12h30
Nonlinear Programming
Direct Multiple Shooting
Integer control, robust control
C. Kirches: on QPs within optimal control L. Wirsching: Nonlinear Model Predictive Control
D. Lebiedz: An optimization approach to model
reduction in chemical kinetics
12h30-14h00
Lunch
Lunch
Lunch
Lunch
Final discussion, Lunch
14h00-18h00
Practical exercises: AMPL + programming
Practical exercises: MUSCOD
Practical exercises: direct optimal control
Discussion Exercises: own project
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On Thursday evening there will be a joint course dinner.
Registration
Participation is free of charge and possible for doctoral students in optimization from Heidelberg, Trier, Darmstadt, Duisburg and Marburg upon registration. The costs for accomodation, lunches and Thursday evening dinner cannot be covered, though.
Registration is closed now, the course is full. For further inquiries, please send me an email,
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Last Modification: 2016-05-12 - Contact Person: Sebastian Sager - Impressum