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A Convergent Adaptive Finite Element Stochastic Galerkin Method Based on Multilevel Expansions of Random Fields
Markus Bachmayr, Martin Eigel, Henrik Eisenmann and Igor Voulis SIAM Journal on Numerical Analysis 63(4) 1776 (2025) https://doi.org/10.1137/24M1649253
Haar-type stochastic Galerkin formulations for hyperbolic systems with Lipschitz continuous flux function
Adaptive Nonintrusive Reconstruction of Solutions to High-Dimensional Parametric PDEs
Martin Eigel, Nando Farchmin, Sebastian Heidenreich and Philipp Trunschke SIAM Journal on Scientific Computing 45(2) A457 (2023) https://doi.org/10.1137/21M1461988
Semi-conservative high order scheme with numerical entropy indicator for intrusive formulations of hyperbolic systems