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Optimal Weak Order and Approximation of the Invariant Measure with a Fully-Discrete Euler Scheme for Semilinear Stochastic Parabolic Equations with Additive Noise

In this paper, we consider the ergodic semilinear stochastic partial differential equation driven by additive noise and the long-time behavior of its full discretization realized by a spectral Galerkin method in spatial direction and an Euler scheme in the temporal direction, which admits a unique i...

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Gardado en:
Principais autores: Qiu Lin, Ruisheng Qi
Formato: Artigo
Idioma:Inglês
Publicado: MDPI AG 2023-12-01
Series:Mathematics
Assuntos:
stochastic partial differential equation
invariant measure
ergodicity
weak approximation
Acceso en liña:https://www.mdpi.com/2227-7390/12/1/112
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