Most technological innovations require, in one or another way, prior to their implementation, the proper use of a well adapted mathematical software. The procedure towards achieving the final solution of a real-life problem often demands a modeling step and a computational step. In the modeling step, the actual real problem is “translated” using mathematical formulations into an “ideal” problem which should describe reality as closely as possible but at the same time to be subjective to mathematical solution (analytical or in most cases numerical). The computational step involves the solution of the mathematical problem using techniques of applied analysis and often extensive use of numerical algorithms combined with computer programing. A third step is often required which is the interpretation of the mathematical result to the final practical application e.g. design of a new material, improvement and control of a process in industry, etc.
Suggested lectures to be held contain:
- Review of basic knowledge of selected mathematical software for practical applications and links to other sciences.
- Mathematical Modeling from real – life problems from physics, chemistry, engineering (chemical, mechanical, civil), environmental science, medicine, e.t.c. and its interaction with programming and simulation.
- A computer session with commercial and open source programs using advanced numerical techniques to solve real life problems.
- Applications of the use of mathematical software to educational practices.
It is expected that the participants of the proposed Summer School will be prepared to tackle relevant problems in mathematical science.
The attached compressed folder contains the poster and the detailed program of the Summer School 2008.