Implicit and Iterative Methods for the Boltzmann Equation

Transport Theory and Statistical Physics

Volumn 25, Issue 2, 1996, Pages 175-195

  Bobylev, A V ^a,b   Struckmeier, J ^a  

^a Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

^b KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030545909     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411459608204835     Document Type: Article

References (14)

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2. H. Babobsky and R. Illner (1989), A Convergence Proof for Nanbu's Simulation Method for the Full Boltzmann Equation, SIAM J. Numer. Anal., Vol. 26, No. 1, pp. 45-65.
3. A. Beylich (Ed.) (1991), Proceedings of the 17th Int. Symp. on Rarefied Gas Dynamics, Weinheim.
4. G.A. Bird (1994), Molecular Gas Dynamics and Direct Simulation of Gas Flows, Clarendon Press, Oxford.
5. A.V. Bobylev (1988), Theory of space uniform Boltzmann equation for Maxwell molecules, Sov. Sci. Rev. C, 7, 111-233.
6. A.V. Bobylev and J. Struckmeier, Numerical Simulation of the Stationary One-Dimensional Boltzmann Equation by Particle Methods, submitted to European Journal of Mechanics B/Fluids.
7. C. Cercignani, R. Illner and M. Pulvirenti (1994), The Mathematical Theory of Dilute Gases, Springer, New York.
8. L. Desvilettes and S. Mischler (1994), About the splitting algorithm for the Boltzmann and BGK Equation, preprint, University of Orleans, URA 1803.
9. H. Neunzert and J. Struckmeier (1992), The Finite-Pointset-Method for Hypersonic Flows in the Rarefied Gas Regime, J.J. Bertin, R. Glowinski and J. Periaux (Eds.), Hypersonics, Vol. III, Birkhäuser.
10. M. Reed and B. Simon (1972), Methods of Modern Mathematical Physics I: Functional Analysis, Academic Press, New York.
11. B.D. Shizgal and D.P. Weaver (Eds.) (1994), Rarefied Gas Dynamics: Theory and Simulations, Progress in Astronautics and Aeronautics, Volume 159.
12. J. Struckmeier, Implicit Particle Methods for the Boltzmann Equation with Maxwellian Molecules, to be published.
13. J. Struckmeier and K. Steiner, Second Order Scheme for the Spatially Homogeneous Boltzmann Equation with Maxwellian Molecules, to appear in Math. Mod. & Meth. in Appl. Sciences.
14. F.G. Tcheremissine (1970), Numerical solution of the Boltzmann Equation for one-dimensional stationary flows, (in Russian), Zh. Vych. Mat. & Mat. Fiz., Vol. 10, No. 3, pp. 15-25.