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Convergence and Stability of a Split-Step Exponential Scheme Based on the Milstein Methods

https://doi.org/10.3390/sym14112413
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mma.2972openalex-snapshot
The improved split-step θ methods for stochastic differential equation
inferredcites →https://doi.org/10.1007/978-3-642-23280-0openalex-snapshot
Stochastic Stability of Differential Equations
inferredcites →https://doi.org/10.1007/978-3-662-09947-6openalex-snapshot
Solving Ordinary Differential Equations II
inferredcites →https://doi.org/10.1007/978-3-662-10063-9openalex-snapshot
Stochastic Numerics for Mathematical Physics
inferredcites →https://doi.org/10.1007/978-3-662-12616-5openalex-snapshot
Numerical Solution of Stochastic Differential Equations
inferredcites →https://doi.org/10.1007/s00009-018-1187-8openalex-snapshot
Improved Euler–Maruyama Method for Numerical Solution of the Itô Stochastic Differential Systems by Composite Previous-Current-Step Idea
inferredcites →https://doi.org/10.1007/s11075-012-9534-5openalex-snapshot
A class of split-step balanced methods for stiff stochastic differential equations
inferredcites →https://doi.org/10.1007/s40096-021-00392-7openalex-snapshot
Improving split-step forward methods by ODE solver for stiff stochastic differential equations
inferredcites →https://doi.org/10.1016/j.aej.2021.04.040openalex-snapshot
Investigation on Ginzburg-Landau equation via a tested approach to benchmark stochastic Davis-Skodje system
inferredcites →https://doi.org/10.1016/j.apnum.2008.06.001openalex-snapshot
Split-step backward balanced Milstein methods for stiff stochastic systems
inferredcites →https://doi.org/10.1016/j.apnum.2012.03.002openalex-snapshot
A structural analysis of asymptotic mean-square stability for multi-dimensional linear stochastic differential systems
inferredcites →https://doi.org/10.1016/j.apnum.2014.10.005openalex-snapshot
Split-step Milstein methods for multi-channel stiff stochastic differential systems
inferredcites →https://doi.org/10.1016/j.camwa.2010.06.011openalex-snapshot
Convergence and stability of the split-step θ -method for stochastic differential equations
inferredcites →https://doi.org/10.1016/j.cnsns.2018.08.013openalex-snapshot
Modified stochastic theta methods by ODEs solvers for stochastic differential equations
inferredcites →https://doi.org/10.1016/j.matcom.2010.09.015openalex-snapshot
A comparative linear mean-square stability analysis of Maruyama- and Milstein-type methods
inferredcites →https://doi.org/10.1023/a:1022355410570openalex-snapshot
A-Stability and Stochastic Mean-Square Stability
inferredcites →https://doi.org/10.1080/00207160.2014.915963openalex-snapshot
Split-step Adams–Moulton Milstein methods for systems of stiff stochastic differential equations
inferredcites →https://doi.org/10.1080/00207160.2018.1480761openalex-snapshot
Split-step double balanced approximation methods for stiff stochastic differential equations
inferredcites →https://doi.org/10.1080/00207160.2019.1589459openalex-snapshot
Study on split-step Rosenbrock type method for stiff stochastic differential systems
inferredcites →https://doi.org/10.1137/0910058openalex-snapshot
Efficient Split Linear Multistep Methods for Stiff Ordinary Differential Equations
inferredcites →https://doi.org/10.1137/s0036142901389530openalex-snapshot
Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
inferredcites →https://doi.org/10.1137/s0036142992228409openalex-snapshot
Stability Analysis of Numerical Schemes for Stochastic Differential Equations
inferredcites →https://doi.org/10.1140/epjp/s13360-020-00765-2openalex-snapshot
The explicit approximation approach to solve stiff chemical Langevin equations
inferredcites →https://doi.org/10.1155/2022/7498865openalex-snapshot
Improvement of Split-Step Forward Milstein Schemes for SODEs Arising in Mathematical Physics
inferredcites →https://doi.org/10.3390/math10183366openalex-snapshot
The Improved Stability Analysis of Numerical Method for Stochastic Delay Differential Equations
inferredcites →https://doi.org/10.3390/sym12030383openalex-snapshot
Numerical Picard Iteration Methods for Simulation of Non-Lipschitz Stochastic Differential Equations
inferredcites →https://doi.org/10.3390/sym12111911openalex-snapshot
Pricing Various Types of Power Options under Stochastic Volatility
inferredcites →https://doi.org/10.3390/sym14050846openalex-snapshot
On a Unique Solution of a Class of Stochastic Predator–Prey Models with Two-Choice Behavior of Predator Animals
inferredcites →https://doi.org/10.3390/sym14071358openalex-snapshot
Improve Stock Price Model-Based Stochastic Pantograph Differential Equation
inferredcites →https://doi.org/10.3390/sym14091838openalex-snapshot
Threshold of Stochastic SIRS Epidemic Model from Infectious to Susceptible Class with Saturated Incidence Rate Using Spectral Method

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4682038openalex-extracted
inferred← citeshttps://doi.org/10.1016/j.matcom.2025.01.021openalex-snapshot
Split-step ϑ integrator for generalized stochastic Volterra integro-differential equations
inferred← citeshttps://doi.org/10.1142/s0219876224500816openalex-snapshot
Exploring Derivative-Free Split-Step and Balanced Solvers for Itô Stochastic Differential Equations
inferred← citeshttps://doi.org/10.21203/rs.3.rs-3216834/v1openalex-snapshot
MS-stability of the predator-free and positive equilibria for food chain model with vigilance under stochastic perturbations
inferred← citeshttps://doi.org/10.2298/fil2508501ropenalex-snapshot
An explicit Milstein-type scheme for simulation of SDEs
inferred← citeshttps://doi.org/10.3390/sym14122692openalex-snapshot
Recent Progress in Studies of Stability of Numerical Schemes
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