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math.NA2026
Local Gevrey regularity and Quasi-Monte Carlo quadrature for PDEs parameterized on non-compact domains
Dinh DÅ©ng, Dinh Dũng, Tùng Lê +2
We establish local Gevrey regularity for the weak solution to parametric divergence-form diffusion elliptic PDEs, assuming the diffusion coefficient itself possesses local Gevrey p…
math.NA2026
Piecewise-polynomial interpolations and quadratures for parametric PDEs with log-Laplace random inputs
Dinh DÅ©ng
We establish a sparsity in terms of -summability and weighted -summability for the coefficients of the Laguerre generalized piecewise-polynomial chaos expansion of…
math.NA2026
Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputs
Dinh DÅ©ng
By combining a certain approximation property in the spatial domain, and weighted -summability of the Hermite polynomial expansion coefficients in the parametric domain obt…