Course 2017
Applied and Computational Mathematics in Engineering Application
March 20th to 24th, 2017 at University of Aveiro, Portugal
The course focus on data acquisition, data analysis, and mathematical modeling.
Course materials can be found here.
Hours | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|
09:00 - 10:30 | G. Teschke 1) | G. Teschke 1) | T. Lahmer 1) | D. Penava 1) | G. Karólyi |
10:45 - 12:15 | D. Legatiuk 1) | I. Pereira 2) | I. Pereira 2) | T. Lahmer 1) | G. Karólyi |
Lunch break | |||||
14:00 - 15:30 | I. Pereira 1) | N. Lopes 1) | self-study | D. Penava 2) | self-study |
15:45 - 17:15 | D. Legatiuk 2) | G. Teschke 1) | self-study | T. Lahmer M. Alalade 2) | self-study |
self study & social events |
1) ... Lecture 2) ... Project
G. Teschke, University of Applied Sciences Neubrandenburg, Germany
- Data modeling (real world, physical modeling, discrete data)
- Study of data errors with examples from the calculation of derivatives
- Data sampling design based on error models / general sampling approaches
- Data Mining (classification, SMV with examples of object recognition)
- Applications
D. Legatiuk, Bauhaus Universität Weimar, Germany
- Modern modelling concepts in engineering
I. Pereira / N. Lopes, University of Aveiro, Portugal
- Statistical Data Analysis, Time series analysis
T. Lahmer, Bauhaus Universität Weimar, Germany
- Optimal Design of Experiments
- How to gather data for the identification of parameters in models?
- Fisher Information based approaches
- Methods for minimizing mean squared reconstruction errors
- Optimization in Engineering Problems
- Concepts and Methods for Nonlinear Optimization
- Local Search Methods
- Methods for non smooth functions
- Global Methods
- Application: Calibration of Models
D. Penava, Josip Juraj Strossmayer, University of Osijek, Croatia
- An orthotropic material model for static linear-elastic finite element analysis
- simple example of static linear-elastic orthotropic behaviour
- general derivation using the principle of virtual work
- constitutive component
- discretized kimenatics and solution
- computer implementation
G. Károlyi, Budapest University of Technology and Economics, Hungary
- Dimensionless numbers in mathematical modeling
- Buckingham's theorem
- Example: oscillations
- Example: fluid mechanics
- Example: buckling
- Case study: aircraft impact into roboust structures