Milstein-Type Procedures for Numerical Solutions of Stochastic Differential Equations with Markovian Switching
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Publication:5347527
DOI10.1137/16M1084730zbMath1362.65017OpenAlexW2606813737MaRDI QIDQ5347527
George Yin, Son Luu Nguyen, Tuan Anh Hoang, Dung Tien Nguyen
Publication date: 24 May 2017
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1084730
Computational methods in Markov chains (60J22) Diffusion processes (60J60) Numerical solutions to stochastic differential and integral equations (65C30) Continuous-time Markov processes on discrete state spaces (60J27)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solutions of regime-switching jump diffusions
- Continuous-time Markov chains and applications. A two-time-scale approach
- Pathwise convergence rates for numerical solutions of Markovian switching stochastic differential equations
- Hybrid switching diffusions. Properties and applications
- Convergence of the Euler--Maruyama method for stochastic differential equations with Markovian switching.
- Stock Trading: An Optimal Selling Rule
- Approximation Methods for Hybrid Diffusion Systems with State-Dependent Switching Processes: Numerical Algorithms and Existence and Uniqueness of Solutions
- Approximate Integration of Stochastic Differential Equations
- Nonlinear Filtering and Control of a Switching Diffusion with Small Observation Noise
- Numerical solutions for jump-diffusions with regime switching
- Stochastic Differential Equations with Markovian Switching
- Permanence and Extinction of Regime-Switching Predator-Prey Models
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