References
- Babovsky , Hans . 1986 . On a simulation scheme for the Boltzmann equation . Mathematical Methods in the Applied Sciences , 8 : 223 – 233 .
- Bird , G. A. 1976 . Molecular Gas Dynamics , London : Oxford University Press .
- Bourgat , J. F. , LeTallec , P. , Perthame , B. and Qiu , Y. 1992 . “ Coupling Boltzmann and Euler equations without overlapping ” . In Domain Decomposition , AMS .
- Cercignani , C. 1988 . The Boltzmann Equation and its Applications , Springer-Verlag .
- Gabetta , E. , Pareschi , L. and Toscani , G. 1997 . Relaxation schemes for nonlinear kinetic equations . SIAM Journal on Numerical Analysis , 34 : 2168 – 2194 .
- Hairer , E. and Wanner , G. 1987 . Solving ordinary differential equations, Vol. 2 Stiff and differential-algebraic problems , New York : Springer-Verlag .
- Hockney , R. W. and Eastwood , J. W. 1981 . Computer simulation using particles , Mc-Graw Hill International Book Co. .
- Kac , M. 1957 . “ Probability and related topics in physical sciences ” . In Lectures in Applied Mathematics , New York : Interscience Publishers London .
- Nanbu , K. 1986 . “ Theoretical basis of the direct simulation Monte Carlo method ” . In Proceedings of the 15th International Symposium on Rarefied Gas Dynamics Edited by: Boffi , V. and Cercignani , C. 369 – 383 .
- Ohwada , T. 1998 . Higher order approximation methods for the boltzmann equation . Journal of Computational Physics , 139 : 1 – 14 .
- Pareschi , L. and Caflisch , R. E. Implicit monte carlo methods for rarefied gas dynamics I: the space homogeneous case . Journal of Computational Physics , to appear
- Pareschi , L. and Russo , G. Time relaxed monte carlo method for the boltzmann equation , preprint
- Pullin , D. I. 1978 . Direct simulation methods for compressible inviscid ideal gas flow . Journal of Computational Physics ,
- Pullin , D. I. 1979 . Generation of normal variates with given sample . J. Statist. Comput. Simul. , 9 : 303 – 309 .
- Wild , E. 1951 . On Boltzmann's equation in the kinetic theory of gases . Proc. Camb. Phil. Soc. , 47 : 602 – 609 .