Cover Image

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Weder, Philipp, Schwerdtner, Paul, Peherstorfer, Benjamin
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Greedy construction of quadratic manifolds for nonlinear dimensionality reduction and nonlinear model reduction
by: Schwerdtner, Paul, et al.
Published: (2024)

Filtered Neural Galerkin model reduction schemes for efficient propagation of initial condition uncertainties in digital twins
by: Ning, Zhiyang, et al.
Published: (2025)

Empirical sparse regression on quadratic manifolds
by: Schwerdtner, Paul, et al.
Published: (2024)

Online learning of quadratic manifolds from streaming data for nonlinear dimensionality reduction and nonlinear model reduction
by: Schwerdtner, Paul, et al.
Published: (2024)

Randomized time stepping of nonlinearly parametrized solutions of evolution problems
by: Dong, Yijun, et al.
Published: (2025)

Nonlinear model reduction for transport-dominated problems
by: Hesthaven, Jan S., et al.
Published: (2026)

Neural Galerkin Schemes with Active Learning for High-Dimensional Evolution Equations
by: Bruna, Joan, et al.
Published: (2022)

Galerkin Neural Network-POD for Acoustic and Electromagnetic Wave Propagation in Parametric Domains
by: Weder, Philipp, et al.
Published: (2024)

Parametric model reduction of mean-field and stochastic systems via higher-order action matching
by: Berman, Jules, et al.
Published: (2024)

CoLoRA: Continuous low-rank adaptation for reduced implicit neural modeling of parameterized partial differential equations
by: Berman, Jules, et al.
Published: (2024)

A Dirac-Frenkel-Onsager principle: Instantaneous residual minimization with gauge momentum for nonlinear parametrizations of PDE solutions
by: Raviola, Matteo, et al.
Published: (2026)

Nonlinear energy-preserving model reduction with lifting transformations that quadratize the energy
by: Sharma, Harsh, et al.
Published: (2025)

Asymptotic behavior of polynomials orthonormal on a homogeneous set
by: Peherstorfer, Franz, et al.
Published: (2002)

A discontinuous Galerkin pressure correction scheme for the Oldroyd model of order one
by: Mondal, Pratyay, et al.
Published: (2025)

A high-order, structure preserving scheme for the stochastic Galerkin shallow water equations -- unification and two-dimensional extension
by: Öffner, Philipp, et al.
Published: (2026)

On the stability and convergence of Discontinuous Galerkin schemes for incompressible flow
by: Gazca-Orozco, Pablo Alexei, et al.
Published: (2023)

Operator Inference Aware Quadratic Manifolds with Isotropic Reduced Coordinates for Nonintrusive Model Reduction
by: Schwerdtner, Paul, et al.
Published: (2025)

Structure-preserving model reduction on manifolds of port-Hamiltonian systems
by: Glas, Silke, et al.
Published: (2026)

Asymptotic-preserving semi-Lagrangian discontinuous Galerkin schemes for the Boltzmann equation
by: Cai, Xiaofeng, et al.
Published: (2025)

Leveraging Gauge Freedom for Learning Non-Gradient Population Dynamics of Stochastic Systems
by: Berman, Jules, et al.
Published: (2026)

Pointwise A posteriori error control of quadratic Discontinuous Galerkin Methods for the unilateral contact problem
by: Khandelwal, Rohit, et al.
Published: (2024)

An implicit-explicit BDF-Galerkin scheme of second order for the nonlinear thermistor problem
by: Altmann, R., et al.
Published: (2025)

An efficient ADER discontinuous Galerkin scheme for directly solving Hamilton-Jacobi equation
by: Duan, Junming, et al.
Published: (2019)

Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system
by: Gong, Wei, et al.
Published: (2018)

Analysis-Aware Defeaturing of Dirichlet Features
by: Weder, Philipp, et al.
Published: (2025)

High-order ADER Discontinuous Galerkin schemes for a symmetric hyperbolic model of compressible barotropic two-fluid flows
by: Río-Martín, Laura, et al.
Published: (2023)

Nonlinear model reduction for operator learning
by: Eivazi, Hamidreza, et al.
Published: (2024)

Sequential-in-time training of nonlinear parametrizations for solving time-dependent partial differential equations
by: Zhang, Huan, et al.
Published: (2024)

Neural active manifolds: nonlinear dimensionality reduction for uncertainty quantification
by: Zanoni, Andrea, et al.
Published: (2024)

A conservative, discontinuous Galerkin, tracer transport scheme using compatible finite elements
by: Andrews, Timothy C., et al.
Published: (2026)

Multifidelity Covariance Estimation via Regression on the Manifold of Symmetric Positive Definite Matrices
by: Maurais, Aimee, et al.
Published: (2023)

Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media
by: Wijaya, Imam, et al.
Published: (2019)

Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: A study using POD-Galerkin and dynamical low rank approximation
by: Koellermeier, Julian, et al.
Published: (2023)

A structure-preserving discontinuous Galerkin scheme for the Cahn-Hilliard equation including time adaptivity
by: Wimmer, Golo A., et al.
Published: (2024)

A Dynamical Neural Galerkin Scheme for Filtering Problems
by: Aghili, Joubine, et al.
Published: (2024)

A stabilizer free weak Galerkin method with implicit $θ$-schemes for fourth order parabolic problems
by: Gu, Shanshan, et al.
Published: (2024)

Realizability-preserving monolithic convex limiting in continuous Galerkin discretizations of the M1 model of radiative transfer
by: Moujaes, Paul, et al.
Published: (2025)

A discontinuous Galerkin scheme for full-potential electronic structure calculations
by: Li, Xiaoxu, et al.
Published: (2019)

An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker-Planck equations
by: Liu, Chen, et al.
Published: (2024)

A priori error estimates of Runge-Kutta discontinuous Galerkin schemes to smooth solutions of fractional conservation laws
by: Leotta, Fabio, et al.
Published: (2024)