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Breaking the Kolmogorov Barrier with Nonlinear Model Reduction

Benjamin Peherstorfer

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Source: Crossref

Published: May 1, 2022

DOI: 10.1090/noti2475

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Source abstract

This article describes the Kolmogorov barrier of linear model reduction and then outlines how nonlinear methods can overcome the barrier. A numerical example of simulating combustion instabilities in a single-injector element of a rocket engine demonstrates adaptive empirical interpolation as one example of a nonlinear model reduction method.

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Breaking the Kolmogorov Barrier with Nonlinear Model Reduction — Mathematical Frontier Network