The Scultetus summer school will discuss the practical and theoretical aspects of approximating and interpolating functions by using high-order polynomials, trigonometric series, and rational functions. Approximating functions is the basis for spectral methods. In the course of the event, they will also be applied. Based on the Python package minterpy for multivariate interpolation, differential equations and other related challenges in scientific computing will be solved.

As an extension of a course held by CASUS Young Investigator Group Leader Michael Hecht at the Mathematical Institute of Wrocław University, the summer school aims to strengthen the connection of both institutes. It will start with some introductory lectures open to all at CASUS. The main part is directed at math students. They will be given practical introductions to the minterpy software package with a special focus on comparing the package with the chebfun Matlab package. Finally, contributions by the participants developed in several working groups will likely advance actual research projects of Wrocław University (group of Grzegorz Karch) and CASUS (group of Michael Hecht).

Besides Michael Hecht and Grzegorz Karch (and their teams), also CASUS Young Investigator Group Leaders Dr. Ricardo Martínez-García and Dr. Artur Yakimovich will share their expertise with the students.

This summer school was selected within the Workshop and Symposium Program of the Scultetus Center, CASUS’ fixture responsible for study and research exchanges. Besides organizing summer schools, workshops, symposia, and conferences, the Scultetus Center also manages short research stay programs directed at scientists of all career levels.

Please note: The ten spots for the summer school have already been allocated.