Convergence, non-negativity and stability of a new tamed Euler-Maruyama scheme for stochastic differential equations with Hölder continuous diffusion coefficient
From MaRDI portal
Publication:2174239
DOI10.1007/s10013-019-00373-3OpenAlexW2988433556MaRDI QIDQ2174239
Duc-Trong Luong, Hoang-Long Ngo, Trung-Thuy Kieu, Thu Thuy Nguyen
Publication date: 21 April 2020
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-019-00373-3
stochastic differential equationexponential stabilitynon-negativityHölder continuous diffusiontamed Euler-Maruyama approximation
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items
Tamed-Euler method for nonlinear switching diffusion systems with locally Hölder diffusion coefficients ⋮ Convergence and stability of modified partially truncated Euler-Maruyama method for nonlinear stochastic differential equations with Hölder continuous diffusion coefficient
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Euler approximations with varying coefficients: the case of superlinearly growing diffusion coefficients
- Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients
- The truncated Euler-Maruyama method for stochastic differential equations
- Strong rate of tamed Euler-Maruyama approximation for stochastic differential equations with Hölder continuous diffusion coefficient
- Convergence and stability of the semi-tamed Euler scheme for stochastic differential equations with non-Lipschitz continuous coefficients
- A note on Euler approximations for SDEs with Hölder continuous diffusion coefficients
- A note on tamed Euler approximations
- Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Stability of regime-switching stochastic differential equations
- On the uniqueness of solutions of stochastic differential equations
- Strong rate of convergence for the Euler-Maruyama approximation of stochastic differential equations with irregular coefficients
- Convergence rate of EM scheme for \normalfont𝑆𝐷𝐷𝐸𝑠
- Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Mean-Square and Asymptotic Stability of the Stochastic Theta Method
- $V$-integrability, asymptotic stability and comparison property of explicit numerical schemes for non-linear SDEs
- OUP accepted manuscript
- Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations
- Stability Analysis of Numerical Schemes for Stochastic Differential Equations
- Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations