80 citations · 327 across the 17 of their papers we have counts for
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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…
Hilbert--Schmidt regularity of symmetric integral operators on bounded domains with applications to SPDE approximations
Mihály Kovács, Annika Lang, Andreas Petersson
Regularity estimates for an integral operator with a symmetric continuous kernel on a convex bounded domain are derived. The covariance of a mean-square continuous random field on…
Boundary conditions for nonlocal one-sided pseudo-differential operators and the associated stochastic processes II
Boris Baeumer, Mihály Kovács, Lorenzo Toniazzi
We connect boundary conditions for one-sided pseudo-differential operators with the generators of modified one-sided Lévy processes. On one hand this allows modellers to use approp…
Surface finite element approximation of spherical Whittle--Matérn Gaussian random fields
Erik Jansson, Mihály Kovács, Annika Lang
Spherical Whittle--Matérn Gaussian random fields are considered as solutions to fractional elliptic stochastic partial differential equations on the sphere. Approximation is done w…
The Traffic Reaction Model: A kinetic compartmental approach to road traffic modeling
M. Pereira, B. Kulcsár, Gy. Lipták +2
In this work, a family of finite volume discretization schemes for LWR-type first order traffic flow models (with possible on- and off-ramps) is proposed: the Traffic Reaction Mode…