Almost Sure Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
From MaRDI portal
Publication:2946211
DOI10.1137/140966198zbMath1327.65016OpenAlexW2003192055MaRDI QIDQ2946211
Publication date: 16 September 2015
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://strathprints.strath.ac.uk/50887/
almost sure exponential stabilityLipschitz conditionmoment exponential stabilitystochastic theta methodlinear growth condition
Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items (21)
Convergence and stability of exponential integrators for semi-linear stochastic variable delay integro-differential equations ⋮ Equivalence of \(p\)th moment stability between stochastic differential delay equations and their numerical methods ⋮ Almost sure exponential stability of stochastic differential delay equations ⋮ Convergence and stability of the one-leg θ method for stochastic differential equations with piecewise continuous arguments ⋮ Convergence and stability of the exponential Euler method for semi-linear stochastic delay differential equations ⋮ Asymptotic mean square stability of predictor-corrector methods for stochastic delay ordinary and partial differential equations ⋮ Equivalence of stability among stochastic differential equations, stochastic differential delay equations, and their corresponding Euler-Maruyama methods ⋮ Asymptotic mean-square boundedness of the numerical solutions of stochastic age-dependent population equations with Poisson jumps ⋮ Stability equivalence between the neutral delayed stochastic differential equations and the Euler-Maruyama numerical scheme ⋮ Exponential stability of \(\theta\)-method for stochastic differential equations in the \(G\)-framework ⋮ Unnamed Item ⋮ Stability equivalence among stochastic differential equations and stochastic differential equations with piecewise continuous arguments and corresponding Euler-Maruyama methods ⋮ The partially truncated Euler-Maruyama method and its stability and boundedness ⋮ Convergence and asymptotical stability of numerical solutions for neutral stochastic delay differential equations driven by \(G\)-Brownian motion ⋮ Almost Sure Exponential Stability of Stochastic Differential Delay Equations ⋮ Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations ⋮ A Stable Numerical Scheme for Stochastic Differential Equations with Multiplicative Noise ⋮ Further results on stabilization of stochastic differential equations with delayed feedback control under \( G \)-expectation framework ⋮ Improved Results on Stabilization of $G$-SDEs by Feedback Control Based on Discrete-Time Observations ⋮ Theoretical and numerical analysis of the Euler-Maruyama method for generalized stochastic Volterra integro-differential equations ⋮ Stability analysis of split-step theta method for neutral stochastic delayed neural networks
This page was built for publication: Almost Sure Exponential Stability in the Numerical Simulation of Stochastic Differential Equations