Convergence and stability of the semi-tamed Milstein method for commutative stochastic differential equations with non-globally Lipschitz continuous coefficients
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Publication:2247119
DOI10.1016/j.amc.2021.126680OpenAlexW3201962318WikidataQ115361093 ScholiaQ115361093MaRDI QIDQ2247119
Xiujun Cheng, Yuanling Niu, Yu-Long Liu
Publication date: 16 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.05716
strong convergenceone-sided Lipschitz conditionexponential mean square stabilitycommutative noisesemi-tamed Milstein method
Stochastic analysis (60Hxx) Probabilistic methods, stochastic differential equations (65Cxx) Ordinary differential equations and systems with randomness (34Fxx)
Uses Software
Cites Work
- Unnamed Item
- Euler approximations with varying coefficients: the case of superlinearly growing diffusion coefficients
- Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations
- Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients
- The truncated Euler-Maruyama method for stochastic differential equations
- Convergence and stability of the semi-tamed Euler scheme for stochastic differential equations with non-Lipschitz continuous coefficients
- Convergence of the stochastic Euler scheme for locally Lipschitz coefficients
- Higher-order implicit strong numerical schemes for stochastic differential equations
- A note on Euler's approximations
- The random attractor of the stochastic Lorenz system
- The truncated Milstein method for stochastic differential equations with commutative noise
- Stability of the drift-implicit and double-implicit Milstein schemes for nonlinear SDEs
- Convergence rate of the truncated Milstein method of stochastic differential delay equations
- Continuous Markov processes and stochastic equations
- Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Stability Criteria for Implicit Runge–Kutta Methods
- The tamed Milstein method for commutative stochastic differential equations with non-globally Lipschitz continuous coefficients
- Delay Tolerance for Stable Stochastic Systems and Extensions
- A Note on the Rate of Convergence of the Euler–Maruyama Method for Stochastic Differential Equations
- Stochastic Equations in Infinite Dimensions