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Degond, P.; Niclot, B.

Numerical analysis of the weighted particle method applied to the semiconductor Boltzmann equation. (English) Zbl 0672.65114

Numer. Math. 55, No. 5, 599-618 (1989).
The authors consider an approximation to the semiconductor Boltzmann equation with a distribution function associated with a set of particles. Estimates of the errors associated with the solution are given, and the problems of multiband and multivalued materials are considered. The authors suggest that the particle method considered in the paper is, from the point of view of stability in time, superior to finite difference methods.
Reviewer: Ll.G.Chambers

Cited in 1 Review
Cited in 6 Documents

MSC:

65R20 Numerical methods for integral equations
76M99 Basic methods in fluid mechanics
78A55 Technical applications of optics and electromagnetic theory
45K05 Integro-partial differential equations

Keywords:

semiconductor Boltzmann equation; particle method; stability in time; finite difference methods
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\textit{P. Degond} and \textit{B. Niclot}, Numer. Math. 55, No. 5, 599--618 (1989; Zbl 0672.65114)
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References:

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