ON THE CONVERGENCE OF SPECTRAL METHODS FOR THE WIGNER-POISSON PROBLEM

DOI10.1142/S0218202592000077zbMath0772.35077OpenAlexW2037793678MaRDI QIDQ4032299

Christian Ringhofer

Publication date: 1 April 1993

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202592000077

zbMATH Keywords

spectral collocation methodquantum Liouville equationLax-Wendroff schemeWigner-Poisson systemcharge transport in semiconductor devices

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Motion of charged particles (78A35) Initial value problems for PDEs with pseudodifferential operators (35S10)

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