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On the numerical integration of Burgers' equation by stochastic simulation methods

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Publication:1923758
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DOI10.1016/0010-4655(93)90004-VzbMath0854.65117OpenAlexW2004319346MaRDI QIDQ1923758

Francesco Petruccione, Heinz-Peter Breuer

Publication date: 22 January 1997

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(93)90004-v


zbMATH Keywords

Burgers equationshock wavesGibbs phenomenonstochastic simulationnumerical viscositydiscrete stochastic process


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Applications of stochastic analysis (to PDEs, etc.) (60H30) Applications to the sciences (65Z05)





Cites Work

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  • A stochastic approach to computational fluid dynamics
  • Monte Carlo methods for the solution of nonlinear partial differential equations
  • A stochastic lattice gas for Burgers' equation: A practical study
  • Burger's model of turbulence as a stochastic process




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