The MWF method for kinetic equations system
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Publication:971554
DOI10.1016/j.camwa.2008.09.018zbMath1186.65137OpenAlexW2027469459MaRDI QIDQ971554
Carlo Bianca, Francesco Pappalardo, Santa Motta
Publication date: 16 May 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2008.09.018
numerical methodskinetic equationsparticle methodslinear collision kernelsystem of Boltzmann equations
Kinetic theory of gases in time-dependent statistical mechanics (82C40) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
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Cites Work
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- A new numerical method for kinetic equations in several dimensions
- A generalized collision mechanism for stochastic particle schemes approximating Boltzmann-type equations
- Reduction of the number of particles in the stochastic weighted particle method for the Boltzmann equation
- Numerical approaches to the kinetic semiconductor equation
- A new formulation and gauge invariance of the MW-CRF method for kinetic equations.
- Energy conservation property of MW-CRF deterministic particle method
- Parallel efficiency of the C.R.F. method on an IBM RS/6000 cluster platform
- Global existence of solutions for a model Boltzmann equation
- A stochastic weighted particle method for the Boltzmann equation
- CONVERGENCE OF A hp-STREAMLINE DIFFUSION SCHEME FOR VLASOV–FOKKER–PLANCK SYSTEM
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- On the Cauchy Problem for the Lamé System
- DISSIPATIVE DISCRETIZATION METHODS FOR APPROXIMATIONS TO THE BOLTZMANN EQUATION
- AN ENTROPY-BASED FINITE DIFFERENCE METHOD FOR THE ENERGY TRANSPORT SYSTEM
- GENERALIZED DISCRETE VELOCITY MODELS
- MULTICELLULAR BIOLOGICAL GROWING SYSTEMS: HYPERBOLIC LIMITS TOWARDS MACROSCOPIC DESCRIPTION
- A PLASMA EXPANSION MODEL BASED ON THE FULL EULER–POISSON SYSTEM