Preserving asymptotic mean-square stability of stochastic theta scheme for systems of stochastic delay differential equations
From MaRDI portal
Publication:5859043
DOI10.22034/cmde.2020.32139.1502zbMath1474.65011OpenAlexW3007108594MaRDI QIDQ5859043
Publication date: 15 April 2021
Full work available at URL: https://cmde.tabrizu.ac.ir/article_9921_3f10a4526577f99bc18606248bc855b6.pdf
stochastic delay differential equationsasymptotic mean-square stabilitystochastic linear theta scheme
Stability and convergence of numerical methods for ordinary differential equations (65L20) Stochastic functional-differential equations (34K50) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Delay-dependent stability analysis of numerical methods for stochastic delay differential equations
- Theta schemes for SDDEs with non-globally Lipschitz continuous coefficients
- Convergence and stability of the split-step \(\theta \)-method for stochastic differential equations
- Fractional stochastic differential equations with applications to finance
- Exponential stability of equidistant Euler-Maruyama approximations of stochastic differential delay equations
- \(\theta\)-Maruyama methods for nonlinear stochastic differential delay equations
- Stability analysis of stochastic functional differential equations with infinite delay and its application to recurrent neural networks
- Robustness of exponential stability of a class of stochastic functional differential equations with infinite delay
- On mean-square stability of two-step Maruyama methods for nonlinear neutral stochastic delay differential equations
- Convergence and stability of two classes of theta-Milstein schemes for stochastic differential equations
- Stochastic differential delay equations of population dynamics
- Introduction to the numerical analysis of stochastic delay differential equations
- Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations
- Stability analysis of split-step \(\theta \)-Milstein method for a class of \(n\)-dimensional stochastic differential equations
- Mean square stability and dissipativity of two classes of theta methods for systems of stochastic delay differential equations
- Almost sure exponential stability of the backward Euler-Maruyama scheme for stochastic delay differential equations with monotone-type condition
- Exponential stability of the exact and numerical solutions for neutral stochastic delay differential equations
- Exponential stability in \(p\)-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations
- Numerical Analysis of Explicit One-Step Methods for Stochastic Delay Differential Equations
- Delay-dependent exponential stability of the backward Euler method for nonlinear stochastic delay differential equations
- Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations
- Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
- The Milstein Scheme for Stochastic Delay Differential Equations Without Using Anticipative Calculus