Numerical approximation of nonlinear neutral stochastic functional differential equations

The paper investigates numerical approximations for solution of neutral stochastic functional differential equation (NSFDE) with coefficients of the polynomial growth. The main aim is to develop the convergence in probability of Euler-Maruyama approximate solution under highly nonlinear growth condi...

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Vydáno v:	Journal of applied mathematics & computing Ročník 41; číslo 1-2; s. 427 - 445
Hlavní autoři:	Zhou, Shaobo, Fang, Zheng
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer-Verlag 01.03.2013 Springer Nature B.V
Témata:	Applied mathematics Approximation Computational Mathematics Computational Mathematics and Numerical Analysis Convergence Differential equations Dynamical systems Mathematical analysis Mathematical and Computational Engineering Mathematical models Mathematics Mathematics and Statistics Mathematics of Computing Nonlinearity Numerical analysis Polynomials Random variables Stochastic models Stochasticity Studies Theory of Computation Numerical approximation Euler-Maruyama method Neutral stochastic functional differential equation 34F05 Polynomial growth conditions Convergence in probability
ISSN:	1598-5865, 1865-2085
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