Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform | Paper Citation Record

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Unresolved cited work

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform The Boltzmann equation,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Hamiltonian description of the ideal fluid,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Projection-based model reduction with dynamically transformed modes,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Nonlinear model order reduction based on local reduced-order bases,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Model reduction for flow analysis and control,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Discovering governing equations from data by sparse identification of nonlinear dynamical systems,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Nonlinear reduction strategies for data compres- sion: A comprehensive comparison from diffusion to advection problems,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform The proper orthogonal decomposition in the analysis of turbulent flows,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Antil, M

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Dynamic mode decomposition and its variants,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Dynamic mode decomposition: Theory and applications,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Reduced basis methods: Success, limitations and future chal- lenges,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Galerkin v. least-squares Petrov-Galerkin projec- tion in nonlinear model reduction,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Kolmogorovn-widths for linear dynamical systems,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Domain decomposition and balanced truncation model reduction for shape optimization of the stokes system,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Decay of the Kolmogorovn-width for wave problems,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform The Kolmogorovn-width for linear transport: exact representation and the influence of the data,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Breaking the Kolmogorov barrier with nonlinear model reduction,

Reference 22

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Nonlinear model reduction for transport- dominated problems,

Reference 23

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Model order reduction via Lie groups,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Model order reduction for problems with large convection effects,

Reference 25

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Model reduction of a parametrized scalar hyperbolic conservation law using displacement interpolation

Reference 26

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Displacement interpolation using monotone rearrangement,

Reference 27

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Manifold approximations via transported sub- spaces: Model reduction for transport-dominated problems,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform A registration method for model order reduction: data compression and geom- etry reduction,

Reference 29

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Interpolation of functions with parameter dependent jumps by transformed snapshots,

Reference 30

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Overcoming slowly decaying Kolmogorov n-width by transport maps: Application to model order reduction of fluid dynamics and fluid–structure interaction problems,

Reference 31

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Advection–diffusion in Lagrangian coordinates,

Reference 32

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Lagrangian dynamic mode decomposition for construction of reduced-order models of advection-dominated phenomena,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Lagrangian basis method for dimensionality reduction of convection dominated nonlinear flows

Reference 34

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Kolmogorovn-width and Lagrangian physics-informed neural networks: A causality-conforming manifold for convection- dominated PDEs,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform The cumulative distribution transform and linear pattern classification,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Parametric signal estimation using the cumulative distribution transform,

Reference 37

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Nearest subspace search in the signed cumulative distribution transform space for 1d signal classi- fication,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform End-to-end signal classification in signed cumulative distribution transform space,

Reference 39

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Data-driven identification of para- metric governing equations of dynamical systems using the signed cumulative distribution transform,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Pytranskit,

Reference 41

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform The signed cumula- tive distribution transform for 1-d signal analysis and classification,

Reference 42

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Data representation with optimal transport

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Model reduction of traveling-wave problems via Radon cumulative distribution transform,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform A reduced-order model for advection-dominated problems based on the Radon Cumulative Distribution Transform,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Neural Parametric Fokker–Planck Equation,

Reference 46

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Parameterized Wasserstein Gradient Flow,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Numerical analysis on neural network projected schemes for approximating one dimensional Wasserstein gradient flows,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform A computational fluid mechanics solution to the Monge- Kantorovich mass transfer problem,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform The geometry of dissipative evolution equations: The porous medium equation,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Ambrosio, N

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Santambrogio,Optimal Transport for Applied Mathematicians, ser

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Villani,Topics in optimal transportation

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Hyt¨ onen, J

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform A Discrete Cumulative Distribution Transform via Optimal Transport

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Pinkus,N-widths in Approximation Theory

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform A survey of projection-based model reduction methods for parametric dynamical systems,

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Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications,

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This paper cites First order quasilinear equations in several independent variables,.

Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform First order quasilinear equations in several independent variables,

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