Um Método de Segunda Ordem Fraca para Equações Diferenciais Estocásticas com Saltos Markovianos

Autores

  • Lucas E. Mieri CMCC/UFABC
  • Saul. C. Leite CMCC/UFABC

Resumo

Soluções de Equações Diferenciais Estocásticas Hibridas (EDEH) são muito empregadas paramodelar sistemas compostos por duas partes, uma tomando valores que variam de forma contínua e outra tomando valores em um conjunto discreto. [...]

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Referências

Anderson, D. F., and Mattingly, J. C.A weak trapezoidal method for a class of stochastic differentialequations.Communications in Mathematical Sciences 9, 1 (2011), 301–318.[2]Higham., D.An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations.SIAMReview 43, 3 (2001), 525–546.[3]Nguyen, S., Hoang, T., Nguyen, D., and Yin, G.Milstein-Type Procedures for Numerical Solutions ofStochastic Differential Equations with Markovian Switching.SIAM Journal on Numerical Analysis 55, 2 (2017),953–979.[4]Nguyen, S. L., and Yin, G.Pathwise convergence rates for numerical solutions of Markovian switching sto-chastic differential equations.Nonlinear Analysis: Real World Applications 13, 3 (2012), 1170–1185.[5]Yin, G., Mao, X., Yuan, C., and Cao, D.Approximation Methods for Hybrid Diffusion Systems with State-Dependent Switching Processes: Numerical Algorithms and Existence and Uniqueness of Solutions.SIAMJournal on Mathematical Analysis 41, 6 (2010), 2335–2352.[6]Yuan, C., and Mao, X.Convergence of the Euler–Maruyama method for stochastic differential equations withMarkovian switching.Mathematics and Computers in Simulation 64, 2 (2004), 223–235.[7]Zhang, Q.Stock Trading: An Optimal Selling Rule.SIAM Journal on Control and Optimization 40, 1 (2001),64–87.

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Publicado

2021-12-20

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