Reduced-Order Modeling
POD, DEIM, and data-driven reduced models.
Reduced-Order Modeling. POD, DEIM, and data-driven reduced models.
Foundations and canonical references
The standard treatments of reduced-order modeling approach the subject from complementary angles. Hesthaven, Certified Reduced Basis Methods for Parametrized Partial Differential Equations (2016) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for reduced-order modeling include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2016Certified Reduced Basis Methods for Parametrized Partial Differential Equationshesthaven-2016, rozza-2016, stamm-2016
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