The completely conservative difference schemes for the nonlinear Landau-Fokker-Planck equation

Journal of Computational and Applied Mathematics

Volumn 103, Issue 1, 1999, Pages 115-123

  Potapenko, I F ^a   De Azevedo, C A ^b  

^a KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

^b STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Conservation laws; Conservative differences; Landau Fokker Planck; Nonlinear kinetic

Indexed keywords

NONLINEAR EQUATIONS; PROBLEM SOLVING;

CONSERVATION LAWS; CONSERVATIVE DIFFERENCES; LANDAU-FOKKER-PLANCK EQUATION; NONLINEAR KINETIC;

FINITE DIFFERENCE METHOD;

EID: 0033100567     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00245-3     Document Type: Article

References (15)

1. [1] A.V. Bobylev, V.A. Chuyanov, Zh. vychisl. Mat. Mat. Fiz. 16 (1976) 407.
2. [2] P. Degond, B. Lucquin-Desreux, Numer. Math. 68 (1994) 239.
3. [3] J. Killeen, Nucl. Fusion 16 (1976) 841.
4. [4] L.D. Landau, Zh. Eksper. Teoret. Phys. 7 (1937) 203.
5. [5] O. Lie-Svendsen, M.H. Rees, J. Geophys. Res. 101 (1996) 2415.
6. [6] E. Moghaddam-Taaheri, C.K. Goerts, Astrophys. J. 352 (1990) 361.
7. [7] I.E. Mozolevsky, V.I. Belko, Nucl. Instr. and Meth. B 95 (1995) 17.
8. [8] M.S. Pekker, V.N. Khudik, USSR Comput. Maths. Math. Phys. 24 (1984) 206.
9. [9] Yu.P. Popov, A.A. Samarskii, Zh. vychisl. Mat. Mat. Fiz. 9 (1969) 953.
10. [10] I.F. Potapenko, A.V. Bobylev, C.A. Azevedo, A.S. Assis, Phys. Rev. E 56 (1997).
11. [11] I.F. Potapenko, V.A. Chuyanov, Zh. vychisl. Mat. Mat. Fiz. 19 (1979) 458.
12. [12] I.F. Potapenko, V.A. Chuyanov, Zh. vychisl. Mat. Mat. Fiz. 22 (1982) 751.
13. [13] M. Rosenbluth, W. MacDonald, D. Judd, Phys. Rev. 107 (1957) 1.
14. [14] A.N. Tihonov, A.A. Samarskii, Zh. vychisl. Mat. Mat. Fiz. 1 (1961) 1.
15. [15] V.Yu. Bychenkov, J. Myatt, W. Rozmus, V.T. Tikhonchuk, Phys. Rev. E 52 (1995) 6759.