Well-balanced schemes using elementary solutions for linear models of the Boltzmann equation in one space dimension

DOI10.3934/krm.2012.5.283zbMath1247.76070OpenAlexW2312819874MaRDI QIDQ449079

Publication date: 11 September 2012

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2012.5.283

zbMATH Keywords

well-balanced scheme elementary solutions analytical discrete-ordinates method integral equation of the third kind slow rarefied flow

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (8)

Some examples of kinetic schemes whose diffusion limit is Il'in's exponential-fitting ⋮ The structure of well-balanced schemes for Friedrichs systems with linear relaxation ⋮ Grossly determined solutions for a Boltzmann-like equation ⋮ Elementary solutions for a model Boltzmann equation in one dimension and the connection to grossly determined solutions ⋮ Numerical methods for kinetic equations ⋮ A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations ⋮ Redheffer Products and Numerical Approximation of Currents in One-Dimensional Semiconductor Kinetic Models ⋮ A well-balanced scheme able to cope with hydrodynamic limits for linear kinetic models

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