Convergence rate of the truncated Euler-Maruyama method for highly nonlinear neutral stochastic differential equations with time-dependent delay
DOI10.1515/math-2024-0038MaRDI QIDQ6595226
Publication date: 29 August 2024
Published in: Open Mathematics (Search for Journal in Brave)
convergence rateneutral stochastic differential equationstime-dependent delayKhasminskii-type condition\(L^q\)-convergencetruncated Euler-Maruyama approximation
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Cites Work
- Unnamed Item
- Highly nonlinear neutral stochastic differential equations with time-dependent delay and the Euler-Maruyama method
- The truncated Euler-Maruyama method for stochastic differential equations
- Numerical solutions of stochastic differential delay equations under the generalized Khasminskii-type conditions
- Almost surely asymptotic stability of exact and numerical solutions for neutral stochastic pantograph equations
- Equivalence of \(p\)th moment stability between stochastic differential delay equations and their numerical methods
- The truncated Euler-Maruyama method for stochastic differential delay equations
- Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations
- A note on the partially truncated Euler-Maruyama method
- Numerical solutions of stochastic differential delay equations under local Lipschitz condition
- Tamed Euler-Maruyama approximation of McKean-Vlasov stochastic differential equations with super-linear drift and Hölder diffusion coefficients
- The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients
- New criteria on exponential stability of neutral stochastic differential delay equations
- Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Numerical Solutions of Neutral Stochastic Functional Differential Equations
- Asymptotic properties of neutral stochastic differential delay equations
- Stochastic differential delay equations with jumps, under nonlinear growth condition
- Khasminskii-Type Theorems for Stochastic Differential Delay Equations
- Strong convergence of Euler–Maruyama schemes for McKean–Vlasov stochastic differential equations under local Lipschitz conditions of state variables
- An averaging principle for fast-slow-coupled neutral stochastic differential equations with time-varying delay
- The tamed Euler-Maruyama approximation of Mckean-Vlasov stochastic differential equations and asymptotic error analysis
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