Numerical schemes for kinetic equations in diffusive regimes

DOI10.1016/S0893-9659(98)00006-8zbMath1337.65118MaRDI QIDQ289332

Lorenzo Pareschi, Giovanni Naldi

Publication date: 30 May 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

splitting methodrelaxation schemesdiffusive limithyperbolic system with stiff relaxation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Cites Work

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• The central limit theorem for Carleman's equation
• Diffusive limit for finite velocity Boltzmann kinetic models
• Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
• Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation
• Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations
• Characteristic‐based schemes for dispersive waves I. The method of characteristics for smooth solutions
• Numerical Methods for Hyperbolic Conservation Laws With Stiff Relaxation I. Spurious Solutions
• Relaxation Schemes for Nonlinear Kinetic Equations
• Convergence of Sequences of Semigroups of Nonlinear Operators with an Application to Gas Kinetics

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