Short Course "Introduction to Asymptotic Analysis and Homogenization Theory" by Taras Mel'nyk

February 10, 2025 /

from 10 to 12 February 2025, from 2 to 3:30 pm CET

Prof. Taras Mel'nyk, SFB 1313 associated researcher at the University of Stuttgart and the Taras Shevchenko National University of Kyiv (Ukraine), offers the SFB 1313 and DROPIT short course "Introduction to Asymptotic Analysis and Homogenization Theory".

Speaker: Prof. Taras Mel'nyk, University of Stuttgart and Taras Shevchenko National University of Kyiv (Ukraine)
Date:
from 10  to 12 February 2025
Time:
from 2 to 3:30pm CET
Location:
University of Stuttgart, Campus Vaihingen, Pfaffenwaldring 57, Fakulätssaal 8.122. For members of other universities or institutions, an online option is offered. Please contact the instructor directly.

Short Description

Asymptotic analysis is a powerful mathematical tool for understanding the behavior of functions and solutions to problems as inputs become large or small. Asymptotic approaches are widely used in various fields, including physics, engineering, and computer science, to simplify complex equations and gain insights into the behavior of systems. Homogenization theory is a collections of asymptotic methods used to study the behavior of heterogeneous materials by averaging their properties to derive effective macroscopic models. The course consists of three lectures. The first lecture introduces the main concepts of asymptotic analysis, while the subsequent ones focus on the theory of homogenization. The presentation of the material will be brief but comprehensively to ensure a clear understanding of the topic, with rigorous mathematical proofs and justifications
provided.

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