Canonical and noncanonical Hamiltonian operator inference (Q6062434)

scientific article; zbMATH DE number 7761316

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English	Canonical and noncanonical Hamiltonian operator inference	scientific article; zbMATH DE number 7761316

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instance of

scholarly article

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title

Canonical and noncanonical Hamiltonian operator inference (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

6 November 2023

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full work available at URL

https://arxiv.org/abs/2304.06262

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zbMATH Keywords

digital twin (DT)

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projection-based model order reduction (PMOR)

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Hamiltonian systems

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operator inference

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structure preservation

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proper orthogonal decomposition (POD)

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MaRDI profile type

MaRDI publication profile

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cites work

Turbulence, Coherent Structures, Dynamical Systems and Symmetry

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Model reduction for compressible flows using POD and Galerkin projection

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Dynamic mode decomposition of numerical and experimental data

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MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION

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A Survey of Model Reduction by Balanced Truncation and Some New Results

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Principal component analysis in linear systems: Controllability, observability, and model reduction

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Reduced Basis Approximation and Error Bounds for Potential Flows in Parametrized Geometries

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Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis <i>a posteriori</i> error bounds

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Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

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A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder

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Non-linear manifold reduced-order models with convolutional autoencoders and reduced over-collocation method

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Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction

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Data-driven operator inference for nonintrusive projection-based model reduction

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Learning physics-based models from data: perspectives from inverse problems and model reduction

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Goal-oriented, model-constrained optimization for reduction of large-scale systems

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Stable Galerkin reduced-order models for linearized compressible flow

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Reliable reduced-order models for time-dependent linearized Euler equations

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Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier-Stokes equations

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Stabilization of projection-based reduced order models for linear time-invariant systems via optimization-based eigenvalue reassignment

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Conservative model reduction for finite-volume models

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Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations

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Hamiltonian operator inference: physics-preserving learning of reduced-order models for canonical Hamiltonian systems

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Structure-preserving model reduction for mechanical systems

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Preserving Lagrangian Structure in Nonlinear Model Reduction with Application to Structural Dynamics

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Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models

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Structure Preserving Model Reduction of Parametric Hamiltonian Systems

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Structure-preserving model-reduction of dissipative Hamiltonian systems

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Structure-preserving Galerkin POD reduced-order modeling of Hamiltonian systems

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Structure-Preserving Model Reduction for Nonlinear Port-Hamiltonian Systems

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Lift \& learn: physics-informed machine learning for large-scale nonlinear dynamical systems

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Predicting solar wind streams from the inner-heliosphere to Earth via shifted operator inference

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Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field'' method

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On a new class of completely integrable nonlinear wave equations. I. Infinitely many conservation laws

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Q2738422

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On dynamic mode decomposition: theory and applications

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Dynamic Mode Decomposition and Its Variants

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Galerkin proper orthogonal decomposition methods for parabolic problems

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Energy preserving integration of bi-Hamiltonian partial differential equations

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Sampling Low-Dimensional Markovian Dynamics for Preasymptotically Recovering Reduced Models from Data with Operator Inference

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Model equations for long waves in nonlinear dispersive systems

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Q5189317

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The Schwarz alternating method in solid mechanics

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The ubiquitous Kronecker product

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Identifiers

arXiv ID

2304.06262

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Mathematics Subject Classification ID

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10.1016/J.CMA.2023.116334

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Sitelinks

Mathematics(1 entry)

mardi Publication:6062434