Sökning: onr:"swepub:oai:gup.ub.gu.se/261001" >
Mean-square stabili...
Mean-square stability analysis of approximations of stochastic differential equations in infinite dimensions
-
- Lang, Annika, 1980 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
-
- Petersson, Andreas, 1990 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
-
- Thalhammer, Andreas (författare)
- Johannes Kepler Universität Linz (JKU),Johannes Kepler University of Linz (JKU)
-
(creator_code:org_t)
- 2017-09-14
- 2017
- Engelska.
-
Ingår i: BIT Numerical Mathematics. - : Springer Science and Business Media LLC. - 0006-3835 .- 1572-9125. ; 57:4, s. 963-990
- Relaterad länk:
-
https://link.springe...
-
visa fler...
-
http://dx.doi.org/10...
-
https://research.cha... (primary) (free)
-
https://gup.ub.gu.se...
-
https://doi.org/10.1...
-
https://research.cha...
-
visa färre...
Abstract
Ämnesord
Stäng
- © 2017, The Author(s). The (asymptotic) behaviour of the second moment of solutions to stochastic differential equations is treated in mean-square stability analysis. This property is discussed for approximations of infinite-dimensional stochastic differential equations and necessary and sufficient conditions ensuring mean-square stability are given. They are applied to typical discretization schemes such as combinations of spectral Galerkin, finite element, Euler–Maruyama, Milstein, Crank–Nicolson, and forward and backward Euler methods. Furthermore, results on the relation to stability properties of corresponding analytical solutions are provided. Simulations of the stochastic heat equation illustrate the theory.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Asymptotic mean-square stability
- Euler–Maruyama scheme
- Finite element methods
- Galerkin methods
- Linear stochastic partial differential equations
- Lévy processes
- Milstein scheme
- Numerical approximations of stochastic differential equations
- Rational approximations
- Spectral methods
- Asymptotic mean-square stability
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas