Convergence and asymptotical stability of numerical solutions for neutral stochastic delay differential equations driven by \(G\)-Brownian motion
type: Item
instance of: scholarly article
title: Convergence and asymptotical stability of numerical solutions for neutral stochastic delay differential equations driven by \(G\)-Brownian motion
zbMATH Open document ID: 1403.65033
author: Guangjie Li
author: Qi-Gui Yang
published in: Computational and Applied Mathematics
publication date: 2018-11-05T00:00:00Z
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 60H35
zbMATH DE Number: 6973139
zbMATH Keywords: convergence
zbMATH Keywords: asymptotic mean-square stability
zbMATH Keywords: neutral stochastic delay differential equations
zbMATH Keywords: \(G\)-Brownian motion
zbMATH Keywords: stochastic theta method
MaRDI profile type: Publication
full work available at URL: s40314-018-0581-y
OpenAlex ID: W2784730055
cites work: An Explicit Euler Scheme with Strong Rate of Convergence for Financial SDEs with Non-Lipschitz Coefficients
cites work: Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
cites work: Weak approximation of \(G\)-expectations
cites work: A note on \(p\)th moment estimates for stochastic functional differential equations in the framework of G-Brownian motion
cites work: Existence and stability of solutions to non-linear neutral stochastic functional differential equations in the framework of G-Brownian motion
cites work: Q3085559
cites work: Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
cites work: Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations
cites work: Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
cites work: On representation theorem of \(G\)-expectations and paths of \(G\)-Brownian motion
cites work: \(p\)-moment stability of solutions to stochastic differential equations driven by \(G\)-Brownian motion
cites work: Mean square stability of two classes of theta method for neutral stochastic differential delay equations
cites work: Almost sure stability of the Euler-Maruyama method with random variable stepsize for stochastic differential equations
cites work: Lyapunov-type conditions and stochastic differential equations driven by \(G\)-Brownian motion
cites work: Q4338975
cites work: Almost Sure Exponential Stability in the Numerical Simulation of Stochastic Differential Equations
cites work: Q5436616
cites work: Monotone schemes for a class of nonlinear elliptic and parabolic problems
cites work: Stochastic functional differential equations with infinite delay driven by \(G\)-Brownian motion
cites work: Exponential stability of solutions to impulsive stochastic differential equations driven by \(G\)-Brownian motion
cites work: Tools for computational finance.
cites work: A-stable Runge-Kutta methods for stiff stochastic differential equations with multiplicative noise
cites work: Mean-square stability of semi-implicit Euler method for nonlinear neutral stochastic delay differential equations
cites work: Numerical simulations for \(G\)-Brownian motion
cites work: Stepanov-like doubly weighted pseudo almost automorphic processes and its application to Sobolev-type stochastic differential equations driven byG-Brownian motion
cites work: Convergence of the semi-implicit Euler method for neutral stochastic delay differential equations with phase semi-Markovian switching
cites work: Asymptotical boundedness and stability for stochastic differential equations with delay driven by \(G\)-Brownian motion
cites work: Mean square convergence of one-step methods for neutral stochastic differential delay equations
cites work: Exponential stability for stochastic differential equation driven by G-Brownian motion
cites work: Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations
DOI: 10.1007/S40314-018-0581-Y
description: scientific article; zbMATH DE number 6973139