Numerical analysis of the weighted particle method applied to the semiconductor Boltzmann equation

DOI10.1007/BF01398918zbMath0672.65114MaRDI QIDQ1120263

B. Niclot, Pierre Degond

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133373

zbMATH Keywords

finite difference methodsparticle methodsemiconductor Boltzmann equationstability in time

Mathematics Subject Classification ID

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

Related Items (6)

Parallel efficiency of the C.R.F. method on an IBM RS/6000 cluster platform ⋮ On the Modeling and Simulation of Reaction-Transfer Dynamics in Semiconductor-Electrolyte Solar Cells ⋮ Convergence of a Direct Simulation Monte Carlo Method for the Space Inhomogeneous Semiconductor Boltzmann Equations with Multi-valley ⋮ Numerical methods for kinetic equations in semiconductor superlattices ⋮ Numerical Analysis of the Deterministic Particle Method Applied to the Wigner Equation ⋮ Self-sustained current oscillations in the kinetic theory of semiconductor superlattices

Cites Work

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• A particle method for first-order symmetric systems
• Semigroups of linear operators and applications to partial differential equations
• Deterministic particle simulations of the Boltzmann transport equation of semiconductors
• Particle Methods for the One-Dimensional Vlasov–Poisson Equations
• A deterministic particle method for the linearized Boltzmann equation
• The two particle Boltzmann collision operator in axisymmetric geometry

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