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Branching random process 1 Cauchy problem 1 Martingale 1 Monte Carlo method 1 Unbiased estimator 1
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Mascagni, M. 1 Raimova, G. 1 Rasulov, A. 1
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Mathematics and Computers in Simulation (MATCOM) 1
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Monte Carlo solution of Cauchy problem for a nonlinear parabolic equation
Rasulov, A.; Raimova, G.; Mascagni, M. - In: Mathematics and Computers in Simulation (MATCOM) 80 (2010) 6, pp. 1118-1123
In this paper we consider the Monte Carlo solution of the Cauchy problem for a nonlinear parabolic equation. Using the fundamental solution of the heat equation, we obtain a nonlinear integral equation with solution the same as the original partial differential equation. On the basis of this...
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