Principles of mathematical modelling in science and engineering  

Basic principles of modeling. Principle of nondimensionalisation. Buckingham Pi-theorem. Dimensionless parameters. Asymptotic expansion, convergence vs. divergence, uniformity. Matched asymptotic approximations. Application of asymptotic methods: Van der Pol oscillator. Heat transfer model. Degenerate diffusion. Material derivative. Vorticity. Viscous flow. Flow instability and transition to turbulence. Outcome: By completing this course, the student will gain knowledge of the principles of mathematical modeling of phenomena in the natural and technical sciences.
Presential
English
Principles of mathematical modelling in science and engineering
English

Funded by the European Union. Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or HaDEA. Neither the European Union nor the granting authority can be held responsible for them. The statements made herein do not necessarily have the consent or agreement of the ASTRAIOS Consortium. These represent the opinion and findings of the author(s).