Convergence and stability of the split-step theta method for stochastic differential equations with piecewise continuous arguments
DOI10.1016/j.cam.2016.11.033zbMath1376.60066OpenAlexW2558543231MaRDI QIDQ507963
Publication date: 9 February 2017
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2016.11.033
exponential mean square stabilitymonotone conditionconvergence of the SST methodsplit-step theta (SST) methodstochastic differential equations with piecewise continuous arguments
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability and convergence of numerical methods for ordinary differential equations (65L20) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)
Related Items (21)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mean square stability of two classes of theta method for neutral stochastic differential delay equations
- Stabilization of stochastic differential equations with Markovian switching by feedback control based on discrete-time state observation with a time delay
- Exponential mean square stability of numerical methods for systems of stochastic differential equations
- Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations
- Theta schemes for SDDEs with non-globally Lipschitz continuous coefficients
- Convergence and almost sure exponential stability of implicit numerical methods for a class of highly nonlinear neutral stochastic differential equations with constant delay
- Asymptotic stability of Runge-Kutta methods for nonlinear differential equations with piecewise continuous arguments
- Strong convergence and stability of backward Euler-Maruyama scheme for highly nonlinear hybrid stochastic differential delay equation
- The Euler-Maruyama approximation of solutions to stochastic differential equations with piecewise constant arguments
- Almost sure exponential stability of numerical solutions for stochastic delay differential equations
- Higher-order implicit strong numerical schemes for stochastic differential equations
- Existence and exponential stability of solutions for stochastic cellular neural networks with piecewise constant argument
- Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Numerical solutions of stochastic differential equations with piecewise continuous arguments under Khasminskii-type conditions
- Convergence of the Euler method of stochastic differential equations with piecewise continuous arguments
- Choice of \({\theta}\) and mean-square exponential stability in the stochastic theta method of stochastic differential equations
- Mean square stability and dissipativity of two classes of theta methods for systems of stochastic delay differential equations
- Exponential stability of the exact solutions and \(\theta\)-EM approximations to neutral SDDEs with Markov switching
- Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control
- B-convergence of split-step one-leg theta methods for stochastic differential equations
- Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
- Stabilization of Hybrid Systems by Feedback Control Based on Discrete-Time State Observations
- Stability Analysis of Numerical Schemes for Stochastic Differential Equations
- Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients
This page was built for publication: Convergence and stability of the split-step theta method for stochastic differential equations with piecewise continuous arguments