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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.
Syllabus
Introduction
Baseline Computation
MultiPhysics Problem
Numerical Difficulties
Macroscopic View
Simulations
Reducing Complexity
Parametrize
Parameters
Predesign
High Fidelity Method
Reduce Basis Program
Example
Taught by
Hausdorff Center for Mathematics