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math.NA2026
Mass Lumping and Numerical Quadrature for Approximation of Fractional Elliptic Differential Equations Driven by Gaussian White Noise
Kelvin J. R. Almeida-Sousa, David Bolin, Alexandre B. Simas
Fractional elliptic stochastic partial differential equations (SPDEs) are widely used in statistics and machine learning for computationally efficient and flexible modeling of Gaus…
math.NA2026
Finite element and box-method discretizations for fractional elliptic problems with quadrature and mass lumping
Kelvin J. R. Almeida-Sousa, David Bolin, Alexandre B. Simas
We analyze numerical approximation of the fractional elliptic problem , , where is a second-order self-adjoint elliptic operator with homogeneous Dirichlet or Ne…