YoVDO

Adaptive Wavelet Methods and Applications

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Numerical Analysis Courses Sobolev Spaces Courses

Course Description

Overview

Explore adaptive wavelet methods and their applications in this comprehensive lecture by Rob Stevenson. Discover how to construct bases for Sobolev spaces on general domains using wavelets, and learn how these bases can be applied to optimally solve well-posed linear and nonlinear operator equations adaptively. Delve into various applications, including time-dependent PDEs, and gain insights into tensor product approximation and the reformulation of 2nd order PDEs as 1st order systems. This 86-minute presentation, part of the Hausdorff Trimester Program Multiscale Problems: Winter School on Numerical Analysis of Multiscale Problems, offers a deep dive into advanced mathematical concepts and their practical implementations.

Syllabus

Rob Stevenson: Adaptive wavelet methods and applications


Taught by

Hausdorff Center for Mathematics

Related Courses

An Introduction to Functional Analysis
École Centrale Paris via Coursera
Sobolev Spaces and Partial Differential Equations
IMSC via Swayam
The Computational Theory of Riemann-Hilbert Problems - Lecture 4
International Centre for Theoretical Sciences via YouTube
Sobolev Regularity for Maximal Operators
Hausdorff Center for Mathematics via YouTube
The Regularity Problem for the Laplace Equation in Rough Domains
Hausdorff Center for Mathematics via YouTube