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02/08/2023
Regularity and numerical approximation of fractional elliptic differential equations on compact metric graphs
The fractional differential equation L^β u = f posed on a compact metric...
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12/15/2021
A Higher Order Resolvent-positive Finite Difference Approximation for Fractional Derivatives
We develop a finite difference approximation of order α for the α-fracti...
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07/21/2021
Approximation of SPDE covariance operators by finite elements: A semigroup approach
The problem of approximating the covariance operator of the mild solutio...
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07/21/2021
Hilbert–Schmidt regularity of symmetric integral operators on bounded domains with applications to SPDE approximations
Regularity estimates for an integral operator with a symmetric continuou...
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02/17/2021
Surface finite element approximation of spherical Whittle–Matérn Gaussian random fields
Spherical Matérn–Whittle Gaussian random fields are considered as soluti...
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02/15/2021
Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise
We investigate the quality of space approximation of a class of stochast...
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09/10/2019
Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise
We consider the numerical approximation of the mild solution to a semili...
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06/27/2019
Error estimates of the backward Euler-Maruyama method for multi-valued stochastic differential equations
In this paper, we derive error estimates of the backward Euler-Maruyama ...
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11/14/2017