Approximate Euler Method for Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise

DOI10.1137/100818297zbMath1262.60066DBLPjournals/siamnum/DunstHP12OpenAlexW2002990227WikidataQ59225660 ScholiaQ59225660MaRDI QIDQ4907142

Erika Hausenblas, Andreas Prohl, Thomas Dunst

Publication date: 4 March 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5b1e921e30316860b2c5bd24538c5f13fe8cebcd

zbMATH Keywords

finite elementsstochastic partial differential equationsnumerical approximationstochastic evolution equationsPoisson random measuretime-discretization

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (10)

Approximation and simulation of infinite-dimensional Lévy processes ⋮ Mean-square stability analysis of approximations of stochastic differential equations in infinite dimensions ⋮ Simulation of Stochastic Volterra Equations Driven by Space–Time Lévy Noise ⋮ Convergence of weak Euler approximation for nondegenerate stochastic differential equations driven by point and martingale measures ⋮ Optimal strong convergence rates of numerical methods for semilinear parabolic SPDE driven by Gaussian noise and Poisson random measure ⋮ Numerical aspects of shot noise representation of infinitely divisible laws and related processes ⋮ A posteriori error estimates for non-stationary non-linear convection-diffusion equations ⋮ Weak Convergence of Finite Element Approximations of Linear Stochastic Evolution Equations with Additive Lévy Noise ⋮ The inverse source problem of Cherenkov radiation model ⋮ Modeling and computation of an integral operator Riccati equation for an infinite-dimensional stochastic differential equation governing streamflow discharge

This page was built for publication: Approximate Euler Method for Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise