Strong superconvergence of the Euler-Maruyama method for linear stochastic Volterra integral equations
DOI10.1016/j.cam.2016.11.005zbMath1357.65011OpenAlexW2560277216MaRDI QIDQ508020
Zhanwen Yang, Jianfang Gao, Hui Liang
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.2016.11.005
numerical examplestrong convergenceconvolution kernelEuler-Maruyama methodlinear stochastic Volterra integral equationsstrong superconvergence
Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Stochastic integral equations (60H20)
Related Items (28)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A collocation technique for solving nonlinear stochastic Itô-Volterra integral equations
- A computational method for solving stochastic Itô-Volterra integral equations based on stochastic operational matrix for generalized hat basis functions
- A numerical method for solving \(m\)-dimensional stochastic itô-Volterra integral equations by stochastic operational matrix
- Delay-dependent stability analysis of numerical methods for stochastic delay differential equations
- Exponential stability of Euler-Maruyama solutions for impulsive stochastic differential equations with delay
- Existence and uniqueness of the solutions and convergence of semi-implicit Euler methods for stochastic pantograph equations
- A survey of numerical methods for stochastic differential equations
- Euler schemes and large deviations for stochastic Volterra equations with singular kernels
- On the existence and uniqueness of solutions of stochastic integral equations of the Volterra type
- A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations
- Modified block pulse functions for numerical solution of stochastic Volterra integral equations
- Random integral equations with applications to life sciences and engineering
- Stochastic Volterra equations with singular kernels
- On exponential mean-square stability of two-step Maruyama methods for stochastic delay differential equations
- Almost sure exponential stability of solutions to highly nonlinear neutral stochastic differential equations with time-dependent delay and the Euler-Maruyama approximation
- Exponential stability of the exact and numerical solutions for neutral stochastic delay differential equations
- A stochastic collocation method for stochastic Volterra equations of the second kind
- A wavelet-based computational method for solving stochastic Itô-Volterra integral equations
- Continuous Markov processes and stochastic equations
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- Strong order of convergence of a fully discrete approximation of a linear stochastic Volterra type evolution equation
- Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind
- On solutions of a stochastic integral equation of the volterra type with applications for chemotherapy
- Real Interpolation of Sobolev Spaces on Subdomains of Rn
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- An adaptive Euler-Maruyama scheme for SDEs: convergence and stability
- The Numerical Solution of Fredholm integral Equations of the Second Kind
This page was built for publication: Strong superconvergence of the Euler-Maruyama method for linear stochastic Volterra integral equations