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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 81, 2009 - Issue 3-4: Stochastic Analysis
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Original Articles

Stochastic solutions of some nonlinear partial differential equations

Pages 279-297 | Received 24 Mar 2008, Accepted 06 Feb 2009, Published online: 23 Jul 2009
 

Abstract

The stochastic construction of solutions for nonlinear partial differential equations is discussed. The technique provides new exact solutions and efficient numerical codes for localized solutions and parallel computing. A brief review of known solutions and some new results for the Poisson–Vlasov and Euler equations are included.

AMS Subject Classification:

Notes

Additional information

Notes on contributors

R. Vilela Mendes

1. 1. http://www.label2.ist.utl.pt/vilela/.

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