DISSIPATIVE DISCRETIZATION METHODS FOR APPROXIMATIONS TO THE BOLTZMANN EQUATION

DOI10.1142/S0218202501000799zbMath1035.76037OpenAlexW2126744173MaRDI QIDQ4798856

Christian Ringhofer

Publication date: 16 March 2003

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

Full work available at URL: https://doi.org/10.1142/s0218202501000799

zbMATH Keywords

finite difference methodsGalerkin approximationsspherical harmonic expansionscollision operatorentropy condition

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (7)

Model order reduction for numerical simulation of particle transport based on numerical integration approaches ⋮ Matrix compression for spherical harmonics expansions of the Boltzmann transport equation for semiconductors ⋮ A new formulation and gauge invariance of the MW-CRF method for kinetic equations. ⋮ Phase boundary solutions to model kinetic equations via the Conley index theory. II. ⋮ Energy conservation property of MW-CRF deterministic particle method ⋮ The MWF method for kinetic equations system ⋮ The MWF method: A convergence theorem for homogeneous one-dimensional case

Cites Work

• Multidimensional spherical harmonics expansion of Boltzmann equation for transport in semiconductors
• Closure conditions for classical and quantum moment hierarchies in the small-temperature limit
• On the kinetic theory of rarefied gases

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