A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs - Fresca, Stefania; Dede’, Luca; Manzoni, Andrea (Journal of scientific computing, 2021)
Keywords: Accuracy; Algorithms; Approximation; Basis functions; Computational Mathematics and Numerical Analysis; Decomposition; Deep learning; Machine learning; Manifolds (mathematics); Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Neural networks; Nonlinear dynamics; Parameterization; Partial differential equations; Proper Orthogonal Decomposition; Reduced order models; Theoretical; Time dependence; Deep learning; 68T01; Proper orthogonal decomposition; Reduced order modeling; 65M60; Nonlinear time-dependent PDEs; Parametrized PDEs