62 min Dec 22, 2022
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What is an initial value problem? And why do many of us find mathematical modelling so challenging?
I this episode, we again have the honor of talking to Prof. Marina Axelson-Fisk, Professor in Mathematical Statistics at Chalmers University of Technology. This is the third time Prof. Axelson-Fisk is a guest in Science on Surfaces – tips, tricks and tools, and this time she shares some of her vast knowledge on mathematical modelling and how this is used in science.
As always, we started with the basics and Prof. Axelson-Fisk explained what mathematical modelling is, when it is typically used, and what is important to consider when doing this type of analysis. Prof. Axelson-Fisk also described a few examples of common models and their characteristics, how to improve a model and how to find the set of parameter values that best fit the data. We also talked about assumptions, limitations, and validation, as well as challenges encountered when modelling, and pitfalls to avoid. She also shared her thoughts are on why so many of us find modelling so challenging and how this limiting barrier can be addressed. This episode really is packed with information.
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