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New Monte Carlo global weight method for the approximate solution of the nonlinear Boltzmann equation
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M. S. Ivanov
Published/Copyright:
2004
We develop new weight modifications of the method of direct statistical simulation for the approximate solution of the nonlinear Boltzmann equation by using the ingenious procedure proposed by the authors, viz. the stratification of collision distribution in a many-particle system by the number of a pair of interacting particles. We check the appropriate weight algorithms for the model problem with the known solution. They allow us to estimate the variations of functionals under small changes of parameters.
Published Online: --
Published in Print: 2004-06-01
Copyright 2004, Walter de Gruyter
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Articles in the same Issue
- Preface
- Iterative processes for some boundary value problems of hydrodynamics
- New Monte Carlo global weight method for the approximate solution of the nonlinear Boltzmann equation
- Numerical solution of the ocean data assimilation problem
- On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part II
- The regularly structured pseudospectrum
- On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
Articles in the same Issue
- Preface
- Iterative processes for some boundary value problems of hydrodynamics
- New Monte Carlo global weight method for the approximate solution of the nonlinear Boltzmann equation
- Numerical solution of the ocean data assimilation problem
- On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part II
- The regularly structured pseudospectrum
- On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped