Numerical method of highly nonlinear and nonautonomous neutral stochastic differential delay equations with Markovian switching
DOI10.1186/s13662-020-03113-xzbMath1486.65008OpenAlexW3112611815WikidataQ115241308 ScholiaQ115241308MaRDI QIDQ2138859
Publication date: 12 May 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-03113-x
Markovian switchingpartially truncated Euler-Maruyama methodneutral stochastic differential delay equationshighly nonlinear and nonautonomous equations
Stochastic functional-differential equations (34K50) Ordinary differential equations and systems with randomness (34F05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items
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
- The partially truncated Euler-Maruyama method and its stability and boundedness
- Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model
- Preserving positivity in solutions of discretised stochastic differential equations
- A note on tamed Euler approximations
- Approximations of Euler-Maruyama type for stochastic differential equations with Markovian switching, under non-Lipschitz conditions
- Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations
- Strong convergence of the stopped Euler-Maruyama method for nonlinear stochastic differential equations
- Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching
- Almost sure exponential stability of numerical solutions for stochastic delay differential equations
- Convergence of numerical solutions to neutral stochastic delay differential equations with Markovian switching
- Stochastic differential equations. An introduction with applications
- Higher-order implicit strong numerical schemes for stochastic differential equations
- Asymptotic exponential stability of modified truncated EM method for neutral stochastic differential delay equations
- The truncated Euler-Maruyama method for stochastic differential delay equations
- Strong convergence of the partially truncated Euler-Maruyama method for a class of stochastic differential delay equations
- A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching
- Truncated Euler-Maruyama method for classical and time-changed non-autonomous stochastic differential equations
- Mean square polynomial stability of numerical solutions to a class of stochastic differential equations
- The Cox-Ingersoll-Ross model with delay and strong convergence of its Euler-Maruyama approximate solutions
- Exponential stability of the exact solutions and \(\theta\)-EM approximations to neutral SDDEs with Markov switching
- Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations
- Approximate solutions of stochastic differential delay equations with Markovian switching
- Multilevel Monte Carlo for Stochastic Differential Equations with Small Noise
- 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
- Balanced Implicit Methods for Stiff Stochastic Systems
- Neutral Stochastic Differential Delay Equations with Markovian Switching
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
- Predictor-Corrector Methods of Runge--Kutta Type for Stochastic Differential Equations
- Convergence rates of theta-method for NSDDEs under non-globally Lipschitz continuous coefficients
- The Partially Truncated Euler–Maruyama Method for Highly Nonlinear Stochastic Delay Differential Equations with Markovian Switching
- Stochastic Differential Equations with Markovian Switching
- Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in pth moment and stability