Geodesic
Difference scheme for the Vlasov-Manev system
Documenta mathematica, Tome 4 (1999), pp. 179-201
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We develop and test a finite difference scheme for the Vlasov-Manev Equation in one space and one velocity dimension. The Manev correction to the Newtonian potential produces visible qualitative differences in the behaviour of stellar systems; the most notable effect observed in this paper is a stabilisation of the separate identities of two Maxwellian concentrations at different locations.
DOI : 10.4171/dm/58
Classification : 65N06, 65N12, 65N22, 85A05
Mots-clés : stability, finite difference methods, Vlasov-manev system 
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     author = {R. Illner and S. Rjasanow},
     title = {Difference scheme for the {Vlasov-Manev} system},
     journal = {Documenta mathematica},
     pages = {179--201},
     year = {1999},
     volume = {4},
     doi = {10.4171/dm/58},
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R. Illner; S. Rjasanow. Difference scheme for the Vlasov-Manev system. Documenta mathematica, Tome 4 (1999), pp. 179-201. doi: 10.4171/dm/58

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