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math.NA2021
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…
math.NA2021
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…
math.NA2021
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…