A point method for a semi-conductor equation (Q919774)
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scientific article; zbMATH DE number 4162212
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A point method for a semi-conductor equation |
scientific article; zbMATH DE number 4162212 |
Statements
A point method for a semi-conductor equation (English)
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1990
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A numerical method solving kinetic equations for semiconductors is presented. The well established technique for solving the Vlasov-Maxwell system is extended to this problem. The method is based on a finite-point approximation of the initial distribution and a rediscretization of the gain term in the collision integral. The equation \[ \partial_ tf=\int P(k,k')f(t,k')dk'-C(k)(t,k) \] for the one-dimensional case is studied. The convergence of the proposed number-theoretical method is shown. Numerical results of this approach are discussed in conclusion.
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kinetic equations
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semiconductors
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Vlasov-Maxwell system
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finite-point approximation
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collision integral
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convergence
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number-theoretical method
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Numerical results
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0.8161404728889465
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