Space-Time Discretization of Series Expansion Methods for the Boltzmann Transport Equation

DOI10.1137/S0036142998339921zbMath0974.65094OpenAlexW1968659814MaRDI QIDQ4509691

Christian Ringhofer

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142998339921

zbMATH Keywords

stabilityconservation lawsnumerical experimentsseries expansionfinite differencesGalerkin methodsMaxwelliansemiconductor Boltzmann equationfirst order hyperbolic solutions

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05) Initial value problems for first-order hyperbolic systems (35L45)

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