Title
Approximate Euler Method for Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise.
Abstract
We consider parabolic stochastic partial differential equations driven by space-time Levy noise. Different discretization methods to accurately simulate jumps are proposed and analyzed in the context of an implicit time-discretization. Computational studies based on a finite element discretization are provided to illustrate combined truncation and time-discretization effects.
Year
DOI
Venue
2012
10.1137/100818297
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
DocType
Volume
stochastic evolution equations,stochastic partial differential equations,numerical approximation,time-discretization,finite elements,Poisson random measure
Journal
50
Issue
ISSN
Citations 
6
0036-1429
1
PageRank 
References 
Authors
0.39
0
3
Name
Order
Citations
PageRank
Thomas Dunst131.88
Erika Hausenblas2206.19
Andreas Prohl330267.29