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Displaying similar documents to “ Quantum waveguides with corners ”

On quantum limits on flat tori.

Jakobson, Dmitry (1995)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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A numerical scheme for the quantum Boltzmann equation with stiff collision terms

Francis Filbet, Jingwei Hu, Shi Jin (2012)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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Numerically solving the Boltzmann kinetic equations with the small Knudsen number is challenging due to the stiff nonlinear collision terms. A class of asymptotic-preserving schemes was introduced in [F. Filbet and S. Jin,J. Comput. Phys. 229 (2010) 7625–7648] to handle this kind of problems. The idea is to penalize the stiff collision term by a BGK type operator. This method, however, encounters its own difficulty when applied to the quantum Boltzmann equation. To define the quantum...