Runge-Kutta methods for numerical solution of stochastic differential equations
Journal of Computational and Applied Mathematics
Numerical solutions of stochastic differential delay equations under local Lipschitz condition
Journal of Computational and Applied Mathematics
Mean square stability of second-order weak numerical methods for stochastic differential equations
Applied Numerical Mathematics
Journal of Computational and Applied Mathematics
Numerical simulation of a linear stochastic oscillator with additive noise
Applied Numerical Mathematics
Mean-square stability of second-order Runge-Kutta methods for stochastic differential equations
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Numerical solution of stochastic differential problems in the biosciences
Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics
Mean-square stability properties of an adaptive time-stepping SDE solver
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Three-stage stochastic Runge-Kutta methods for stochastic differential equations
Journal of Computational and Applied Mathematics
On mean-square stability properties of a new adaptive stochastic Runge-Kutta method
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
Split-step backward balanced Milstein methods for stiff stochastic systems
Applied Numerical Mathematics
The αth moment stability for the stochastic pantograph equation
Journal of Computational and Applied Mathematics
The fully implicit stochastic-α method for stiff stochastic differential equations
Journal of Computational Physics
An analysis of stability of milstein method for stochastic differential equations with delay
Computers & Mathematics with Applications
Split-step forward methods for stochastic differential equations
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Mean-square stability of second-order Runge-Kutta methods for stochastic differential equations
Journal of Computational and Applied Mathematics
Numerical solution of stochastic differential problems in the biosciences
Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics
Compensated stochastic theta methods for stochastic differential equations with jumps
Applied Numerical Mathematics
Convergence and stability of the split-step θ-method for stochastic differential equations
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
The composite Milstein methods for the numerical solution of Ito stochastic differential equations
Journal of Computational and Applied Mathematics
Improved rectangular method on stochastic Volterra equations
Journal of Computational and Applied Mathematics
Mathematics and Computers in Simulation
SIAM Journal on Numerical Analysis
Higher-order semi-implicit Taylor schemes for Itô stochastic differential equations
Journal of Computational and Applied Mathematics
Numerical Approximations to the Stationary Solutions of Stochastic Differential Equations
SIAM Journal on Numerical Analysis
Mean-square stability analysis of numerical schemes for stochastic differential systems
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
Delay-dependent stability analysis of numerical methods for stochastic delay differential equations
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
A stochastic model for prevention and control of HIV/AIDS transmission dynamics
LSMS'07 Proceedings of the 2007 international conference on Life System Modeling and Simulation
Asymptotic moment boundedness of the numerical solutions of stochastic differential equations
Journal of Computational and Applied Mathematics
A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations
Journal of Computational and Applied Mathematics
Stabilized multilevel Monte Carlo method for stiff stochastic differential equations
Journal of Computational Physics
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Asymptotic mean-square stability of two-step Maruyama schemes for stochastic differential equations
Journal of Computational and Applied Mathematics
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Stochastic differential equations (SDEs) represent physical phenomena dominated by stochastic processes. As for deterministic ordinary differential equations (ODEs), various numerical schemes are proposed for SDEs. In this paper we study the stability of numerical schemes for scalar SDEs with respect to the mean-square norm, which we call $MS$-stability. We will show some figures of the $MS$-stability domain or regions for some numerical schemes and present numerical results which confirm it. This notion is an extension of absolute stability in numerical methods for ODEs.