Stability analysis of split-step \(\theta \)-Milstein method for a class of \(n\)-dimensional stochastic differential equations
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Publication:2008838
DOI10.1016/j.amc.2018.10.040zbMath1429.65014OpenAlexW2905581454MaRDI QIDQ2008838
Davood Ahmadian, O. Farkhondeh Rouz, Luca Vincenzo Ballestra
Publication date: 26 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.10.040
stochastic delay differential equationsexponential mean-square stabilitysplit-step theta Milstein method
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
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Cites Work
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- Unnamed Item
- Mean square stability of two classes of theta method for neutral stochastic differential delay equations
- Delay-dependent stability analysis of numerical methods for stochastic delay differential equations
- Global attractivity in a delay differential equation with application in a commodity model
- 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
- Mean-square stability of Milstein method for linear hybrid stochastic delay integro-differential equations
- Robustness of exponential stability of a class of stochastic functional differential equations with infinite delay
- Higher-order implicit strong numerical schemes for stochastic differential equations
- 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
- Asymptotic stability of balanced methods for stochastic jump-diffusion differential equations
- Stochastic differential delay equations of population dynamics
- Introduction to the numerical analysis of stochastic delay differential equations
- Discrete-time approximations of stochastic delay equations: the Milstein scheme.
- Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional 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
- A modified Milstein scheme for approximation of stochastic delay differential equations with constant time lag
- An analysis of stability of Milstein method for stochastic differential equations with delay
- 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
- The estimation of parameters for stochastic differential equations using neural networks
- 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
- Split-step Adams–Moulton Milstein methods for systems of stiff stochastic differential equations
- Balanced Milstein Methods for Ordinary SDEs
- Almost sure exponential stability for time-changed stochastic differential equations