Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces (Q4994014)

scientific article; zbMATH DE number 7357924

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English	Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces	scientific article; zbMATH DE number 7357924

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instance of

scholarly article

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title

Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces (English)

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author

Damiano Lombardi

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O. Mula

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François-Xavier Vialard

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Virginie Ehrlacher

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published in

ESAIM: Mathematical Modelling and Numerical Analysis

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publication date

11 June 2021

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full work available at URL

https://arxiv.org/abs/1909.06626

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zbMATH Keywords

model reduction

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metric spaces

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Wasserstein space

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conservation laws

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describes a project that uses

redbKIT

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MaRDI profile type

MaRDI publication profile

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cites work

Structure Preserving Model Reduction of Parametric Hamiltonian Systems

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Barycenters in the Wasserstein Space

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Nonlinear model order reduction based on local reduced-order bases

0 references

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

0 references

Model Reduction and Approximation

0 references

Geodesic PCA in the Wasserstein space by convex PCA

0 references

Convergence Rates for Greedy Algorithms in Reduced Basis Methods

0 references

Greedy Algorithms for Optimal Measurements Selection in State Estimation Using Reduced Models

0 references

The Parabolic-Parabolic Keller-Segel System with Critical Diffusion as a Gradient Flow in ℝd,d ≥ 3

0 references

An optimal transportation metric for solutions of the Camassa-Holm equation

0 references

Model Order Reduction for Problems with Large Convection Effects

0 references

Adaptiveh-refinement for reduced-order models

0 references

A Lipschitz metric for the Hunter–Saxton equation

0 references

Geodesic PCA versus Log-PCA of Histograms in the Wasserstein Space

0 references

Scaling algorithms for unbalanced optimal transport problems

0 references

An interpolating distance between optimal transport and Fisher-Rao metrics

0 references

Kolmogorov widths under holomorphic mappings

0 references

Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs

0 references

ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S

0 references

Reduced Basis Greedy Selection Using Random Training Sets

0 references

A Geometric Approach to Dynamical Model Order Reduction

0 references

Symmetries of variable coefficient Korteweg–de Vries equations

0 references

Variational formulation for the lubrication approximation of the Hele-Shaw flow

0 references

The Wasserstein gradient flow of the Fisher information and the quantum drift-diffusion equation

0 references

Decay of the Kolmogorov \(N\)-width for wave problems

0 references

Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

0 references

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

0 references

Q3405558

0 references

The Variational Formulation of the Fokker--Planck Equation

0 references

Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs

0 references

Dynamical Low‐Rank Approximation

0 references

Dynamical Tensor Approximation

0 references

Optimal Transport in Competition with Reaction: The Hellinger--Kantorovich Distance and Geodesic Curves

0 references

A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimilation

0 references

An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

0 references

Convergence analysis of the Generalized Empirical Interpolation Method

0 references

POD basis interpolation via inverse distance weighting on Grassmann manifolds

0 references

Model Order Reduction for Stochastic Dynamical Systems with Continuous Symmetries

0 references

Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs

0 references

Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing

0 references

THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION

0 references

Localized Discrete Empirical Interpolation Method

0 references

Barycentric subspace analysis on manifolds

0 references

Reduced Basis Methods for Partial Differential Equations

0 references

Optimization over geodesics for exact principal geodesic analysis

0 references

Stabilized Weighted Reduced Basis Methods for Parametrized Advection Dominated Problems with Random Inputs

0 references

Q4805362

0 references

Transformed Snapshot Interpolation with High Resolution Transforms

0 references

Interpolation of Functions with Parameter Dependent Jumps by Transformed Snapshots

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Exponential convergence to equilibrium in a coupled gradient flow system modeling chemotaxis

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Identifiers

zbMATH Open document ID

1476.65267

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DOI

10.1051/m2an/2020013

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4994014