Mean-square stability of a constructed Third-order stochastic Runge--Kutta schemes for general stochastic differential equations
DOI10.22034/cmde.2021.44264.1871OpenAlexW3168692760MaRDI QIDQ5884008
Unnamed Author, Davood Ahmadian
Publication date: 19 March 2023
Full work available at URL: https://cmde.tabrizu.ac.ir/article_12795_9559094b92e1a4a9ac2593e810f98459.pdf
convergencestochastic differential equationsmean-square stabilitystochastic Runge-Kutta schemesItô-Taylor expansion
Probabilistic models, generic numerical methods in probability and statistics (65C20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional stochastic differential equations with applications to finance
- Diagonally drift-implicit Runge-Kutta methods of strong order one for stiff stochastic differential systems
- Split-step forward methods for stochastic differential equations
- Higher-order implicit strong numerical schemes for stochastic differential equations
- Convergence and stability of implicit Runge-Kutta methods for systems with multiplicative noise
- Mean-square stability of second-order Runge-Kutta methods for stochastic differential equations
- Two-stage stochastic Runge-Kutta methods for stochastic differential equations
- Stability analysis of split-step \(\theta \)-Milstein method for a class of \(n\)-dimensional stochastic differential equations
- Exponential mean-square stability of numerical solutions for stochastic delay integro-differential equations with Poisson jump
- Asymptotic mean-square stability of weak second-order balanced stochastic Runge-Kutta methods for multi-dimensional Itô stochastic differential systems
- Two-step Milstein schemes for stochastic differential equations
- Two-step strong order 1.5 schemes for stochastic differential equations
- Runge-Kutta methods for Itô stochastic differential equations with scalar noise
- Order Conditions of Stochastic Runge--Kutta Methods by B-Series
- Numerical Integration of Multiplicative-Noise Stochastic Differential Equations
- Mean-Square and Asymptotic Stability of the Stochastic Theta Method
- Truncated ITÔ-Taylor expansions
- Weak Second Order Conditions for Stochastic Runge--Kutta Methods
- Stability Analysis of Numerical Schemes for Stochastic Differential Equations
- Runge–Kutta Methods for the Strong Approximation of Solutions of Stochastic Differential Equations
- Preserving asymptotic mean-square stability of stochastic theta scheme for systems of stochastic delay differential equations
- Runge-Kutta methods for numerical solution of stochastic differential equations
- High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations
This page was built for publication: Mean-square stability of a constructed Third-order stochastic Runge--Kutta schemes for general stochastic differential equations