Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation (Q2079107)

scientific article; zbMATH DE number 7484231

Language	Label	Description	Also known as
English	Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation	scientific article; zbMATH DE number 7484231

Statements

instance of

scholarly article

0 references

title

Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation (English)

0 references

0 references

0 references

0 references

Applied Mathematics and Computation

0 references

publication date

4 March 2022

0 references

full work available at URL

https://arxiv.org/abs/2104.00213

0 references

zbMATH Keywords

model order reduction

0 references

finite differences

0 references

Hamiltonian systems

0 references

fluids

0 references

least-squares

0 references

describes a project that uses

0 references

0 references

Common Hamiltonian structure of the shallow water equations with horizontal temperature gradients and magnetic fields

0 references

The quasi-geostrophic theory of the thermal shallow water equations

0 references

A quasi-Hamiltonian discretization of the thermal shallow water equations

0 references

On improving a one-layer ocean model with thermodynamics

0 references

Turbulence and the dynamics of coherent structures. I. Coherent structures

0 references

An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

0 references

Nonlinear Model Reduction via Discrete Empirical Interpolation

0 references

Model Reduction and Approximation

0 references

Reduced order methods for modeling and computational reduction

0 references

Snapshot-Based Methods and Algorithms

0 references

Data-Driven Parametrized Model Reduction in the Loewner Framework

0 references

Data-Driven Reduced Model Construction with Time-Domain Loewner Models

0 references

Data‐driven model order reduction of quadratic‐bilinear systems

0 references

Spectral analysis of nonlinear flows

0 references

Dynamic mode decomposition of numerical and experimental data

0 references

A data-driven approximation of the koopman operator: extending dynamic mode decomposition

0 references

Learning partial differential equations via data discovery and sparse optimization

0 references

Discovering governing equations from data by sparse identification of nonlinear dynamical systems

0 references

Data-Driven Identification of Parametric Partial Differential Equations

0 references

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

0 references

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

0 references

Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms

0 references

Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition

0 references

Problem reduction, renormalization, and memory

0 references

Extracting macroscopic dynamics: model problems and algorithms

0 references

<i>A priori</i> estimation of memory effects in reduced-order models of nonlinear systems using the Mori–Zwanzig formalism

0 references

Data-driven variational multiscale reduced order models

0 references

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

0 references

$\mathcal H_2$-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems

0 references

Interpolation-Based Model Order Reduction for Polynomial Systems

0 references

Structure preserving model order reduction of shallow water equations

0 references

An energy and potential enstrophy conserving numerical scheme for the multi-layer shallow water equations with complete Coriolis force

0 references

Discretization of polynomial vector fields by polarization

0 references

Geometric properties of Kahan's method

0 references

Model order reduction for coupled problems (survey)

0 references

Stability analysis and model order reduction of coupled systems

0 references

Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions

0 references

Two-Sided Projection Methods for Nonlinear Model Order Reduction

0 references

Q4125663

0 references

The truncated SVD as a method for regularization

0 references

Projection-based model reduction: formulations for physics-based machine learning

0 references

Data-driven correction reduced order models for the quasi-geostrophic equations: a numerical investigation

0 references

Structure-Preserving Method for Reconstructing Unknown Hamiltonian Systems From Trajectory Data

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

10.1016/J.AMC.2022.126924

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2079107