The method of lines for hyperbolic stochastic functional partial differential equations
DOI10.21136/CMJ.2018.0155-16zbMath1488.60167OpenAlexW2794159969MaRDI QIDQ4568222
Monika Wrzosek, Maria Aleksandra Ziemlańska
Publication date: 15 June 2018
Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21136/cmj.2018.0155-16
white noisestochastic partial differential equationVolterra stochastic equationstability of the method of lines
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Discrete approximations in optimal control (49M25)
Cites Work
- Operator splittings and spatial approximations for evolution equations
- On the Cauchy problem for the transport equation with random noise
- A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator
- Stability of the method of lines
- Method of lines for stochastic boundary-value problems with additive noise
- Hyperbolic partial differential-difference equation in the mathematical modeling of neuronal firing and its numerical solution
- Construction of a solution of random transport equation with boundary condition
- The stability of difference schemes of second-order of accuracy for hyperbolic-parabolic equations
- Space semi-discretisations for a stochastic wave equation
- Comparison ODE theorems related to the method of lines
- Method of Lines for Hyperbolic Differential Equations
- Semi-discretization of stochastic partial differential equations on $\mathbb{R}^1$ by a finite-difference method
- Stochastic Equations in Infinite Dimensions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The method of lines for hyperbolic stochastic functional partial differential equations
