Erasmus+ SP - Forecast Engineering: PhD Course "Applied and Computational Mathematics in Engineering Application"
Section outline
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The European Intensive Course „Applied and Computational Mathematics in Engineering Application“ will take place at the Department of Mathematics of the University of Aveiro, Portugal.
Lectures will take place in the „Sala Sousa Pinto“. More details can be found at sweet.ua.pt/ukaehler@ua.pt/erasmus/
For questions and problems contact Uwe Kaehler under e-mail ukaehler@ua.pt.
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The course focus on: Mathemetical modelling techniques for advanced civil engineering problems; Data acquisition; Data analysis techniques; Machine and deep learning techniques; Conceptual modelling approaches in engineering; Advanced topics in numerical mathematics.
Hours Monday Tuesday Wednesday Thursday Friday 09:00 - 10:30 P. Cerejeiras M.K. Fijavz M.K. Fijavz U. Kähler D. Varevac 10:45 - 12:15 D. Legatiuk S. Ádány U. Kähler L. Abrahamczyk D. Legatiuk Lunch break 14:00 - 16:00 P. Cerejeiras S. Ádány self-study L. Abrahamczyk D. Varevac 16:15 - 18:15 D. Legatiuk M.K. Fijavz self-study L. Abrahamczyk D. Varevac self-study & social events
Marjeta Kramar Fijavz, University of Ljubljana, Slovenia- Basics on stochastic processes
Dmitrii Legatiuk, Bauhaus Universität Weimar, Germany- Mathematical Modelling in engineering: from conceptional modelling to approximation theory
Lars Abrahamczyk, Bauhaus Universität Weimar, Germany- Approaches for the identification of events from measurements
Paula Cerejeiras, University of Aveiro, Portugal- Basic concepts for time-frequency analysis
Uwe Kähler, University of Aveiro, Portugal- A short Introduction to Regularization and Machine Learning
Sándor Ádány, Budapest University of Technology and Economics, Hungary- Constrained discretization methods in the analysis of thinn-walled structural members
Damir Varevac, Josip Juraj Strossmayer University of Osijek, Croatia- Explosions and engineering structures
- Basics on stochastic processes
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The course focus on: Inverse problems, data analysis, and mathematical modeling.
Hours Monday Tuesday Wednesday Thursday Friday 09:00 - 10:30 M. Lakner G. Jaklič F. Alkam P. Cerejeiras I. Guljas 10:45 - 12:15 G. Jaklič M. Lakner F. Alkam D. Legatiuk I. Guljas Lunch break 14:00 - 15:30 M. Lakner D. Legatiuk self-study T. Krámer self-study 15:45 - 17:15 G. Jaklič P. Cerejeiras self-study T. Krámer self-study self-study & social events
Gašper Jaklič, University of Ljubljana, Slovenia- Introduction to numerical methods;
- Basic concepts of numerical computations;
- Numerical methods, used in applications, such as solving systems of linear equations, numerical integration, etc.
Mitja Lakner, University of Ljubljana, Slovenia- Solving some PDE systems;
- Efficient symbolic-numerical procedure based on the finite differences method for solving partial differential equations on systems of irregular shapes;
Dmitrii Legatiuk, Bauhaus Universität Weimar, Germany- Modelling and coupling of models: theory and practice
Feras Alkam, Bauhaus Universität Weimar, Germany- Solving ill-posed inverse problems using Bayesian inference
P. Cerejeiras, University of Aveiro, Portugal- Sparse Approximation
Tamás Krámer, Budapest University of Technology and Economics, Hungary- Probabilistic flood assessment using numerical simulations
Ivica Guljas, Josip Juraj Strossmayer University of Osijek, Croatia- Experimental Testing and Theoretical Background
- Physical Modelling and Specimen Testing (Background, Types of experimental testing, Prototype, Physical model, FE model, Case study: FRAmed MAsonry)
- Some Basics of Signal Processing (Systems and signals, Time vs. frequency domain)
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The course focus on: Data acquisition, data analysis, and mathematical modeling.
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 2)
M. Alaladeself-study 1) ... Lecture 2) ... ProjectG.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
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This folder can be used to exchange data between the students.
Maximum file size is 20MB. Only 50 files are allowed in this folder. If there is something to change to the settings, please contact lars.abrahamczyk@uni-weimar.de.
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This folder can be used to exchange data between the students.
Maximum file size is 20MB. Only 50 files are allowed in this folder. If there is something to change to the settings, please contact lars.abrahamczyk@uni-weimar.de.
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Here do we provide tools for easy communication like chat, forum and/or adobe connect. Please use them as much as possible!
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Forum posts can be rated by teachers or students (peer evaluation). Ratings can be aggregated to form a final grade which is recorded in the gradebook.
Forums have many uses, such as
- A social space for students to get to know each other
- For course announcements (using a news forum with forced subscription)
- For discussing course content or reading materials
- For continuing online an issue raised previously in a face-to-face session
- For teacher-only discussions (using a hidden forum)
- A help centre where tutors and students can give advice
- A one-on-one support area for private student-teacher communications (using a forum with separate groups and with one student per group)
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After successful completion of this course you will receive a certificate of participation. It will show the course title, the date and duration of the course, the number of contact hours as well as the main contents and topics.
Participants will earn 2 ECTS. [Note: Additional ECTS can be earned. Please contact your local project coordinator]
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Dear participants,
the Course Team continues to develop itself in order to meet your expectations and wishes. With this questionnaire you can give the organisers and lecturers your feedback. All answers will remain anonymous.
Please click below on the Questionnaire to start the opinion poll.
Thank you for your time and help!
-
Dear participants,
the Course Team continues to develop itself in order to meet your expectations and wishes. With this questionnaire you can give the organisers and lecturers your feedback. All answers will remain anonymous.
Please click below on the Questionnaire to start the opinion poll.
Thank you for your time and help!
-
-
Dear participants,
the Course Team continues to develop itself in order to meet your expectations and wishes. With this questionnaire you can give the organisers and lecturers your feedback. All answers will remain anonymous.
Please click below on the Questionnaire to start the opinion poll.
Thank you for your time and help!
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