A new numerical method for kinetic equations in several dimensions

DOI10.1007/BF02238299zbMath0727.65116OpenAlexW114720771MaRDI QIDQ803768

Joachim Wick, Santa Motta

Publication date: 1991

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238299

zbMATH Keywords

conservation lawskinetic equationsNumerical resultsfinite particle schemesVlasov- Poisson system

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Applications to the sciences (65Z05)

Related Items (6)

Parallel efficiency of the C.R.F. method on an IBM RS/6000 cluster platform ⋮ A new formulation and gauge invariance of the MW-CRF method for kinetic equations. ⋮ 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 ⋮ Numerical approaches to the kinetic semiconductor equation

Cites Work

• A particle method for collisional kinetic equations. I: Basic theory and one-dimensional results
• Deterministic particle simulations of the Boltzmann transport equation of semiconductors
• Point approximation of a space-homogeneous transport equation
• Die Theorie der asymptotischen Verteilung und die numerische Lösung von Integrodifferentialgleichungen
• Particle Methods for the One-Dimensional Vlasov–Poisson Equations
• A deterministic particle method for the linearized Boltzmann equation
• On the Convergence of Particle Methods for Multidimensional Vlasov–Poisson Systems
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