Seminar: Current Topics in Approximation Theory (SoSe 2024)

Prof. Dr. Markus Bachmayr


Topics

In this seminar, we discuss recent research in approximation theory and related numerical methods. In this semester, we focus in particular on different notions of widths of compact sets and their applications in the analysis of nonlinear approximation methods.


Registration

If you are interested in participating in the seminar, please contact Prof. Bachmayr directly. Registration is via RWTHonline. If you register for the seminar you will automatically get access to the course room in RWTHmoodle.


Literature

Some selected papers:

  • R. DeVore, R. Howard and C. Micchelli. Optimal Nonlinear Approximation. Manuscripta mathematica 63:469-478, 1989.
  • A. Cohen, R. DeVore, G. Petrova and P. Wojtaszczyk. Optimal Stable Nonlinear Approximation. Foundations of Computational Mathematics, 2021.
  • G. Petrova and P. Wojtaszczyk. Lipschitz Widths. Constructive Approximation 57:759-805, 2023.