quasi-monte carlo 1random fields 1reaction-diffusion equations 1tumor growth modeling 1uncertainty quantification 1
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math.NA2025
Finite element analysis of density estimation using preintegration for elliptic PDE with random input
Alexander D. Gilbert
This paper analyses the finite element component of the error when using preintegration to approximate the cdf and pdf for uncertainty quantification (UQ) problems involving ellipt…
math.NA2025
Multilevel lattice-based kernel approximation for elliptic PDEs with random coefficients
Alexander D. Gilbert, Michael B. Giles, Frances Y. Kuo +2
This paper introduces a multilevel kernel-based approximation method to estimate efficiently solutions to elliptic partial differential equations (PDEs) with periodic random coeffi…