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Model Reduction and Neural Networks

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Scope of this subject

This cluster of papers focuses on the development and application of physics-informed neural networks for scientific computing, particularly in the context of solving partial differential equations, model reduction, fluid dynamics, dynamic mode decomposition, and nonlinear systems. The research explores the integration of deep learning techniques with traditional numerical methods to address complex problems in physics-based modeling and simulation.

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Research vocabulary

model reduction; physics-informed neural networks; proper orthogonal decomposition; dynamic mode decomposition; physics-informed machine learning; neural operators; reduced basis method; Koopman operator; Fourier neural operator; Galerkin projection; DeepONet; operator learning; proper generalized decomposition; scientific machine learning; flow reconstruction; neural ordinary differential equations; nonlinear model reduction; discrete empirical interpolation method; balanced truncation; hyper-reduction; parametric partial differential equations; data-driven model reduction; spectral bias; sparse identification of nonlinear dynamics; physics-informed neural operators

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Numeric address and provenance

Morton address: 36244887699599031 · morton4x16-v1

Coordinates: (3, 31, 3109, 11206). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.

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