The Nanbu Ironware.
نویسندگان
چکیده
منابع مشابه
Particle simulation of Coulomb collisions: Comparing the methods of Takizuka & Abe and Nanbu
The interactions of charged particles in a plasma are governed by long-range Coulomb collision. We compare two widely used Monte Carlo models for Coulomb collisions. One was developed by Takizuka and Abe in 1977, the other was developed by Nanbu in 1997. We perform deterministic and statistical error analysis with respect to particle number and time step. The two models produce similar stochast...
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The Bird and Nanbu systems are particle systems used to approximate the solution of Boltzmann mollified equation. In particular, they have the propagation of chaos property. Following [GM94], we use coupling techniques and results on branching processes to write an expansion of the error in the propagation of chaos in terms of the number of particles, for slightly more general systems than the ...
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We consider the (numerically motivated) Nanbu stochastic particle system associated to the spatially homogeneous Boltzmann equation for true hard potentials. We establish a rate of propagation of chaos of the particle system to the unique solution of the Boltzmann equation. More precisely, we estimate the expectation of the squared Wasserstein distance with quadratic cost between the empirical ...
متن کاملExpansion of the propagation of chaos for Bird and Nanbu systems
The Bird and Nanbu systems are particle systems used to approximate the solution of Boltzmann mollified equation. In particular, they have the propagation of chaos property. Following [GM94], we use coupling techniques and results on branching processes to write an expansion of the error in the propagation of chaos in terms of the number of particles, for slightly more general systems than the ...
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ژورنال
عنوان ژورنال: Materia Japan
سال: 1995
ISSN: 1340-2625,1884-5843
DOI: 10.2320/materia.34.1138