13 citations · 31 across the 10 of their papers we have counts for
6 papers · 1 filter
Piecewise linear interpolation of noise in finite element approximations of parabolic SPDEs
Gabriel Lord, Andreas Petersson
Efficient simulation of stochastic partial differential equations (SPDE) on general domains requires noise discretization. This paper employs piecewise linear interpolation of nois…
SPDE bridges with observation noise and their spatial approximation
Giulia Di Nunno, Salvador Ortiz-Latorre, Andreas Petersson
This paper introduces SPDE bridges with observation noise and contains an analysis of their spatially semidiscrete approximations. The SPDEs are considered in the form of mild solu…
Approximation of SPDE covariance operators by finite elements: A semigroup approach
Mihály Kovács, Annika Lang, Andreas Petersson
The problem of approximating the covariance operator of the mild solution to a linear stochastic partial differential equation is considered. An integral equation involving the sem…
Finite element approximation of Lyapunov equations related to parabolic stochastic PDEs
Adam Andersson, Annika Lang, Andreas Petersson +1
A numerical analysis for the fully discrete approximation of an operator Lyapunov equation related to linear SPDEs (stochastic partial differential equations) driven by multiplicat…
Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise
Mihály Kovács, Annika Lang, Andreas Petersson
We consider the numerical approximation of the mild solution to a semilinear stochastic wave equation driven by additive noise. For the spatial approximation we consider a standard…
Mean-square stability analysis of approximations of stochastic differential equations in infinite dimensions
Annika Lang, Andreas Petersson, Andreas Thalhammer
The (asymptotic) behaviour of the second moment of solutions to stochastic differential equations is treated in mean-square stability analysis. This property is discussed for appro…