Search: onr:"swepub:oai:gup.ub.gu.se/327023" >
SPLITTING SCHEMES F...
SPLITTING SCHEMES FOR FITZHUGH-NAGUMO STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
-
- Brehier, C. E. (author)
- Universite de Pau et des Pays de L'Adour
-
- Cohen, David (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg
-
- Giordano, G. (author)
- Universita degli Studi di Salerno,University of Salerno
-
(creator_code:org_t)
- 2023
- 2023
- English.
-
In: Discrete and Continuous Dynamical Systems-Series B. - 1531-3492. ; 29:1, s. 214-44
- Related links:
-
https://gup.ub.gu.se...
-
show more...
-
https://doi.org/10.3...
-
https://research.cha...
-
show less...
Abstract
Subject headings
Close
- . We design and study splitting integrators for the temporal discretization of the stochastic FitzHugh-Nagumo system. This system is a model for signal propagation in nerve cells where the voltage variable is the solution of a one-dimensional parabolic PDE with a cubic nonlinearity driven by additive space-time white noise. We first show that the numerical solutions have finite moments. We then prove that the splitting schemes have, at least, the strong rate of convergence 1/4. Finally, numerical experiments illustrating the performance of the splitting schemes are provided.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)
Keyword
- FitzHugh-Nagumo equation
- stochastic partial differential equations
- splitting schemes
- strong error estimates
- schrodinger-equation
- approximation
- noise
- integrators
- simulation
- dynamics
- model
- time
- Mathematics
- stochastic partial differential equations
Publication and Content Type
- ref (subject category)
- art (subject category)
Find in a library
To the university's database