Numerical study of a stochastic weighted particle method for a model kinetic equation

Journal of Computational Physics

Volumn 128, Issue 2, 1996, Pages 351-362

  Rjasanow, Sergej ^a   Wagner, Wolfgang ^b  

^a Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

^b WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; KINETIC ENERGY; KINETIC THEORY; KINETICS; NUMERICAL METHODS; STOCHASTIC MODELS;

KINETIC EQUATIONS; MAIN EFFECT; MODEL KINETIC EQUATIONS; NONLINEAR KINETICS; NUMERICAL APPROXIMATIONS; PARTICLE METHODS; STOCHASTICS;

STOCHASTIC SYSTEMS;

EID: 0030587978     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0216     Document Type: Article

References (9)

1. 1. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Clarendon Press, Oxford, 1994).
2. 2. A. Bobylev and S. Rjasanow, preprint, Keldysh Institute for Applied Mathematics, Moscow, 1996, to appear.
3. 3. C. Cercignani, R. Illner, and M. Pulvirenti, The Mathematical Theory of Dilute Gases (Springer-Verlag, New York, 1994).
4. 4. R. Illner and S. Rjasanow, European J. Mech. B Fluids 13(2), 197 (1994).
5. 5. R. Illner and W. Wagner, J. Statist. Phys. 70(3/4), 773 (1993).
6. 6. M. S. Ivanov and S. V. Rogazinskij, Soviet J. Numer. Anal. Math. Modelling 3(6), 453 (1988).
7. 7. H. Neunzert, F. Gropengiesser, and J. Struckmeier, "Computational Methods for the Boltzmann Equation," Applied and Industrial Mathematics, edited by R. Spigler (Kluwer Academic, Dordrecht, 1991), p. 111.
8. 8. S. Rjasanow and W. Wagner, J. Comput. Phys. 124(2), 243 (1996).
9. 9. S. Rjasanow and W. Wagner, preprint No. 157, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, 1995; Comput. Math. Appl., 1996, to appear.