Stochastic \(\theta\)-methods for a class of jump-diffusion stochastic pantograph equations with random magnitude

DOI10.1155/2014/589167zbMath1328.62291OpenAlexW2043415546WikidataQ51099373 ScholiaQ51099373MaRDI QIDQ904612

Hua Yang, Feng Jiang

Publication date: 13 January 2016

Published in: The Scientific World Journal. Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/589167

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30)

Cites Work

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• A Jump-Diffusion Model for Option Pricing
• A note on order of convergence of numerical method for neutral stochastic functional differential equations
• Pathwise estimation of stochastic differential equations with Unbounded delay and its application to stochastic pantograph equations
• Numerical methods for a class of jump-diffusion systems with random magnitudes
• The \(\alpha \)th moment stability for the stochastic pantograph equation
• Convergence of numerical solutions to stochastic pantograph equations with Markovian switching
• Existence and uniqueness of the solutions and convergence of semi-implicit Euler methods for stochastic pantograph equations
• Strong convergence rates for backward Euler on a class of nonlinear jump-diffusion problems
• Convergence and stability analysis for implicit simulations of stochastic differential equations with random jump magnitudes
• The semi-implicit Euler method for stochastic differential delay equation with jumps
• Continuous \(\Theta\)-methods for the stochastic pantograph equation
• Numerical solutions of stochastic differential delay equations under local Lipschitz condition
• Convergence of numerical solutions to stochastic delay differential equations with jumps
• Numerical methods for nonlinear stochastic differential equations with jumps
• Convergence and stability of numerical methods with variable step size for stochastic pantograph differential equations
• Stability of stochasticθ-methods for stochastic delay integro-differential equations
• The Order of Approximations for Solutions of Itô-Type Stochastic Differential Equations with Jumps
• Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
• Financial Modelling with Jump Processes

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