A Reduced-Basis Polynomial-Chaos Approach with a Multi-parametric Truncation Scheme for Problems with Uncertainties

DOI10.1007/978-3-030-60622-0_26zbMath1487.41007OpenAlexW3185877999MaRDI QIDQ5153575

Theodoros T. Zygiridis

Publication date: 30 September 2021

Published in: Approximation Theory and Analytic Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-60622-0_26

zbMATH Keywords

polynomial-chaosquantification problems

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Monte Carlo methods (65C05) Approximation by polynomials (41A10)

Cites Work

• A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions
• Compressive sampling of polynomial chaos expansions: convergence analysis and sampling strategies
• Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems
• Adaptive sparse polynomial chaos expansion based on least angle regression
• Least squares polynomial chaos expansion: a review of sampling strategies
• Beyond Wiener-Askey expansions: handling arbitrary PDFs
• A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code
• Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
• Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• Adaptive Smolyak Pseudospectral Approximations
• The Homogeneous Chaos
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