Physics-informed polynomial chaos expansions (Q6498467)

scientific article; zbMATH DE number 7843829

Language	Label	Description	Also known as
English	Physics-informed polynomial chaos expansions	scientific article; zbMATH DE number 7843829

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instance of

scholarly article

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title

Physics-informed polynomial chaos expansions (English)

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Journal of Computational Physics

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publication date

7 May 2024

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zbMATH Keywords

polynomial chaos expansion

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physical constraints

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surrogate modeling

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uncertainty quantification

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physics-informed machine learning

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MaRDI profile type

MaRDI publication profile

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cites work

Neural algorithm for solving differential equations

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The numerical solution of linear ordinary differential equations by feedforward neural networks

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\textit{hp}-VPINNs: variational physics-informed neural networks with domain decomposition

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DGM: a deep learning algorithm for solving partial differential equations

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Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark

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Data-driven polynomial chaos expansion for machine learning regression

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Spectral stochastic finite element analysis for laminated composite plates

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Automatic selection of basis-adaptive sparse polynomial chaos expansions for engineering applications

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Sequential Design of Experiment for Sparse Polynomial Chaos Expansions

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Variance-based adaptive sequential sampling for polynomial chaos expansion

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Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling

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An adaptive multi-element generalized polynomial chaos method for stochastic differential equations

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STOCHASTIC SPECTRAL EMBEDDING

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Adaptive sparse polynomial chaos expansion based on least angle regression

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The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

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Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure

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Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures

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An <i>hp</i>‐adaptive multi‐element stochastic collocation method for surrogate modeling with information re‐use

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SAMBA: sparse approximation of moment-based arbitrary polynomial chaos

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Q3997987

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Optimal weighted least-squares methods

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A Christoffel function weighted least squares algorithm for collocation approximations

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Least angle regression. (With discussion)

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Compressive sampling of polynomial chaos expansions: convergence analysis and sampling strategies

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Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

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A Generalized Sampling and Preconditioning Scheme for Sparse Approximation of Polynomial Chaos Expansions

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Least squares polynomial chaos expansion: a review of sampling strategies

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Basis adaptive sample efficient polynomial chaos (BASE-PC)

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DeepXDE: A Deep Learning Library for Solving Differential Equations

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Local Polynomial Chaos Expansion for Linear Differential Equations with High Dimensional Random Inputs

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2024.112926

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Sitelinks

Mathematics(1 entry)

mardi Publication:6498467