Panorama of Mathematics - Alfio Quarteroni

Explore a comprehensive lecture on reduced order models for solving partial differential equations, presented by Alfio Quarteroni at the "Panorama of Mathematics" conference. Delve into topics such as baseline computation, multi-physics problems, numerical difficulties, and macroscopic views. Discover simulations and techniques for reducing complexity, including parameterization, predesign, and high-fidelity methods. Learn about the reduce basis program and examine practical examples in this 57-minute talk from the Hausdorff Center for Mathematics, celebrating a decade of excellence in mathematical sciences.

Introduction
Baseline Computation
MultiPhysics Problem
Numerical Difficulties
Macroscopic View
Simulations
Reducing Complexity
Parametrize
Parameters
Predesign
High Fidelity Method
Reduce Basis Program
Example