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Exploiting locality in sparse polynomial approximation of parametric elliptic PDEs and application to parameterized domains
Wouter Gerrit van Harten and Laura Scarabosio ESAIM: Mathematical Modelling and Numerical Analysis 58(5) 1581 (2024) https://doi.org/10.1051/m2an/2024050
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs
Helmut Harbrecht, Marc Schmidlin and Christoph Schwab Mathematical Models and Methods in Applied Sciences 34(05) 881 (2024) https://doi.org/10.1142/S0218202524500179
Multilevel Monte Carlo FEM for elliptic PDEs with Besov random tree priors
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Shape Uncertainty Quantification for Electromagnetic Wave Scattering via First-Order Sparse Boundary Element Approximation
On the Convergence of Adaptive Stochastic Collocation for Elliptic Partial Differential Equations with Affine Diffusion
Martin Eigel, Oliver G. Ernst, Björn Sprungk and Lorenzo Tamellini SIAM Journal on Numerical Analysis 60(2) 659 (2022) https://doi.org/10.1137/20M1364722
Sparse Approximation of Triangular Transports, Part II: The Infinite-Dimensional Case
Higher-Order Quasi-Monte Carlo Training of Deep Neural Networks
Marcello Longo, Siddhartha Mishra, T. Konstantin Rusch and Christoph Schwab SIAM Journal on Scientific Computing 43(6) A3938 (2021) https://doi.org/10.1137/20M1369373
Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputs