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, 2020
The Feynman-Kac formula and the Lagrange interpolation method are used in the construction of an explicit second order scheme for decoupled anticipated forward backward stochastic differential equations.
Yabing Zhao
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The Feynman-Kac formula and the Lagrange interpolation method are used in the construction of an explicit second order scheme for decoupled anticipated forward backward stochastic differential equations.
Yabing Zhao
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A New Second-Order One-Step Scheme for Solving Decoupled FBSDES and Optimal Error Estimates
, 2020A novel second-order numerical scheme for solving decoupled forward backward stochastic differential equations is proposed. Unlike known second-order schemes for such equations, the forward stochastic differential equations are approximated by a ...
Y. Li, Jie Yang, Weidong Zhao
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Numerical convergence of backward stochastic differential equation with non-Lipschitz coefficients
, 2015In this paper, we propose a backward stochastic differential equation simulationbased estimator of the conditional expectation operator, and we prove that the approximated solution converges to the exact solution under non-Lipschitz condition ...
S. Falah, Jicheng Liu
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Edgeworth type expansions for Euler schemes for stochastic differential equations.
Monte Carlo Methods Appl., 2002V. Konakov, E. Mammen
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Développement asymptotique de la densité d’une diffusion dégénérée
, 1992R. Léandre
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