89 citations · 914 across the 31 of their papers we have counts for
5 papers · 1 filter
Quasi-optimality of Petrov-Galerkin discretizations of parabolic problems with random coefficients
Stig Larsson, Christian Mollet, Matteo Molteni
We consider a linear parabolic problem with random elliptic operator in the usual Gelfand triple setting. We do not assume uniform bounds on the coercivity and boundedness constant…
Discrete Variational Derivative Methods for the EPDiff equation
Stig Larsson, Takayasu Matsuo, Klas Modin +1
The aim of this paper is the derivation of structure preserving schemes for the solution of the EPDiff equation, with particular emphasis on the two dimensional case. We develop th…
Numerical solution of parabolic problems based on a weak space-time formulation
Stig Larsson, Matteo Molteni
We investigate a weak space-time formulation of the heat equation and its use for the construction of a numerical scheme. The formulation is based on a known weak space-time formul…
A weak space-time formulation for the linear stochastic heat equation
Stig Larsson, Matteo Molteni
We apply the well-known Banach-Necas-Babuska inf-sup theory in a stochastic setting to introduce a weak space-time formulation of the linear stochastic heat equation with additive…
Optimal Regularity for Semilinear Stochastic Partial Differential Equations with Multiplicative Noise
Raphael Kruse, Stig Larsson
This paper deals with the spatial and temporal regularity of the unique Hilbert space valued mild solution to a semilinear stochastic partial differential equation with nonlinear t…