-
1
-
-
0000062470
-
On the connection between a solution of the Boltzmann equation and a solution of the Fokker-Planck-Landau equation
-
Arsen'ev A. A., Buryak O. E. On the connection between a solution of the Boltzmann equation and a solution of the Fokker-Planck-Landau equation. Math. USSR Sb. 69:1991;465.
-
(1991)
Math. USSR Sb.
, vol.69
, pp. 465
-
-
Arsen'ev, A.A.1
Buryak, O.E.2
-
2
-
-
0001575743
-
Conservative finite difference schemes for the Fokker-Planck equation not violating the law of an increasing entropy
-
Berezin Yu. A., Khudick V. N., Pekker M. S. Conservative finite difference schemes for the Fokker-Planck equation not violating the law of an increasing entropy. J. Comput. Phys. 69:1987;163.
-
(1987)
J. Comput. Phys.
, vol.69
, pp. 163
-
-
Berezin, Yu.A.1
Khudick, V.N.2
Pekker, M.S.3
-
3
-
-
58049164226
-
Completely conservative difference schemes for nonlinear kinetic equation of Landau (Fokker-Planck) type (in Russian)
-
26, pp
-
A. V. Bobylev, I. F. Potapenko, and, V. A. Chuyanov, Completely conservative difference schemes for nonlinear kinetic equation of Landau (Fokker-Planck) type (in Russian), Akad. Nauk SSSR Inst. Prikl. Mat. Preprint, 76, 26, pp, 1980.
-
(1980)
Akad. Nauk SSSR Inst. Prikl. Mat. Preprint
, vol.76
-
-
Bobylev, A.V.1
Potapenko, I.F.2
Chuyanov, V.A.3
-
5
-
-
0000449286
-
Numerical analysis of conservative and entropy schemes for the Fokker-Planck-Landau equation
-
Buet C., Cordier S. Numerical analysis of conservative and entropy schemes for the Fokker-Planck-Landau equation. SIAM J. Numer. Anal. 36:1999;953.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 953
-
-
Buet, C.1
Cordier, S.2
-
6
-
-
0039498698
-
Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation
-
Buet C., Cordier S. Conservative and entropy decaying numerical scheme for the isotropic Fokker-Planck-Landau equation. J. Comput. Phys. 145:1998;228.
-
(1998)
J. Comput. Phys.
, vol.145
, pp. 228
-
-
Buet, C.1
Cordier, S.2
-
7
-
-
0031570220
-
Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck equation
-
Buet C., Cordier S., Degond P., Lemou M. Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck equation. J. Comput. Phys. 133:1997;310.
-
(1997)
J. Comput. Phys.
, vol.133
, pp. 310
-
-
Buet, C.1
Cordier, S.2
Degond, P.3
Lemou, M.4
-
9
-
-
0000956425
-
A practical difference scheme for Fokker-Planck equations
-
Chang J. S., Cooper G. A practical difference scheme for Fokker-Planck equations. J. Comput. Phys. 6:1970;1.
-
(1970)
J. Comput. Phys.
, vol.6
, pp. 1
-
-
Chang, J.S.1
Cooper, G.2
-
11
-
-
21344479554
-
An entropy scheme for the Fokker-Planck collision operator of plasma kinetic theory
-
Degond P., Lucquin-Desreux B. An entropy scheme for the Fokker-Planck collision operator of plasma kinetic theory. Numer. Math. 68:1994;239.
-
(1994)
Numer. Math.
, vol.68
, pp. 239
-
-
Degond, P.1
Lucquin-Desreux, B.2
-
12
-
-
84947512966
-
On asymptotics of the Boltzmann equation when the collisions become grazing
-
Desvillettes L. On asymptotics of the Boltzmann equation when the collisions become grazing. Transp. Theory Stat. Phys. 21:1992;259.
-
(1992)
Transp. Theory Stat. Phys.
, vol.21
, pp. 259
-
-
Desvillettes, L.1
-
13
-
-
0000278898
-
On the spatially homogeneous Landau equation for hard potentials. Part I: Existence, uniqueness and smoothness; Part II: H-theorem and applications
-
Desvillettes L., Villani C. On the spatially homogeneous Landau equation for hard potentials. Part I: Existence, uniqueness and smoothness; Part II: H-theorem and applications. Communications in PDEs. 25:2000;179.
-
(2000)
Communications in PDEs
, vol.25
, pp. 179
-
-
Desvillettes, L.1
Villani, C.2
-
15
-
-
0000123934
-
Implicit and conservative difference schemes for the Fokker-Planck equation
-
Epperlein E. M. Implicit and conservative difference schemes for the Fokker-Planck equation. J. Comput. Phys. 112:1994;291.
-
(1994)
J. Comput. Phys.
, vol.112
, pp. 291
-
-
Epperlein, E.M.1
-
16
-
-
85190106595
-
-
in preparation
-
F. Filbet, in preparation.
-
-
-
Filbet, F.1
-
18
-
-
0001620499
-
Die kinetische gleichung für den fall Coulombscher vechselwirkung
-
Landau L. D. Die kinetische gleichung für den fall Coulombscher vechselwirkung. Phys. Z. Sowjet. 154:1936.
-
(1936)
Phys. Z. Sowjet.
, vol.154
-
-
Landau, L.D.1
-
19
-
-
0003505273
-
-
transl. as the transport equation in the case of the Coulomb interaction, edited by, D. ter Haar, Pergamon, Oxford, 163.
-
L. D. Landau, transl. as the transport equation in the case of the Coulomb interaction, in, Collected Papers of L. D. Landu, edited by, D. ter Haar, Pergamon, Oxford, 1981, p, 163.
-
(1981)
In, Collected Papers of L. D. Landu
-
-
Landau, L.D.1
-
20
-
-
0032338331
-
Multipole expansions for the Fokker-Planck-Landau operator
-
Lemou M. Multipole expansions for the Fokker-Planck-Landau operator. Numer. Math. 78:1998;597.
-
(1998)
Numer. Math.
, vol.78
, pp. 597
-
-
Lemou, M.1
-
22
-
-
0000045474
-
Discrétization de l'opérateur de Fokker-Planck dans le cas homogène
-
Lucquin-Desreux B. Discrétization de l'opérateur de Fokker-Planck dans le cas homogène. C. R. Acad. Sci. Paris, Ser. 1. A314:1992;407.
-
(1992)
C. R. Acad. Sci. Paris, Ser. 1
, vol.314
, pp. 407
-
-
Lucquin-Desreux, B.1
-
23
-
-
0000787948
-
High order explicit methods for parabolic equations
-
Medovikov A. A. High order explicit methods for parabolic equations. BIT. 38:1998;372.
-
(1998)
BIT
, vol.38
, pp. 372
-
-
Medovikov, A.A.1
-
24
-
-
0002431749
-
Higher order approximation methods for the Boltzmann equation
-
Ohwada T. Higher order approximation methods for the Boltzmann equation. J. Comput. Phys. 139:1998;1.
-
(1998)
J. Comput. Phys.
, vol.139
, pp. 1
-
-
Ohwada, T.1
-
26
-
-
0030518624
-
A Fourier spectral method for homogeneous Boltzmann equations
-
Pareschi L., Perthame B. A Fourier spectral method for homogeneous Boltzmann equations. Transp. Theory Stat. Phys. 25:1996;369.
-
(1996)
Transp. Theory Stat. Phys.
, vol.25
, pp. 369
-
-
Pareschi, L.1
Perthame, B.2
-
27
-
-
0001752597
-
Numerical solution of the Boltzmann equation I: Spectrally accurate approximation of the collision operator
-
Pareschi L., Russo G. Numerical solution of the Boltzmann equation I: Spectrally accurate approximation of the collision operator. SIAM J. Numer. Anal. 37:2000;1217.
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 1217
-
-
Pareschi, L.1
Russo, G.2
-
28
-
-
0034385488
-
On the stability of spectral methods for the homogeneous Boltzmann equation
-
Pareschi L., Russo G. On the stability of spectral methods for the homogeneous Boltzmann equation. Transp. Theory Stat. Phys. 29:2000.
-
(2000)
Transp. Theory Stat. Phys.
, vol.29
-
-
Pareschi, L.1
Russo, G.2
-
31
-
-
0033100567
-
The completely conservative difference schemes for the nonlinear Landau-Fokker-Planck equation
-
Potapenko I. F., de Arzevedo C. A. The completely conservative difference schemes for the nonlinear Landau-Fokker-Planck equation. J. Comput. Appl. Math. 103:1999;115.
-
(1999)
J. Comput. Appl. Math.
, vol.103
, pp. 115
-
-
Potapenko, I.F.1
De Arzevedo, C.A.2
-
32
-
-
13344285436
-
Fokker-Planck equation for an inverse square force
-
Rosenbluth M. N., MacDonald W., Judd D. L. Fokker-Planck equation for an inverse square force. Phys. Rev. 107:1957;1.
-
(1957)
Phys. Rev.
, vol.107
, pp. 1
-
-
Rosenbluth, M.N.1
MacDonald, W.2
Judd, D.L.3
-
33
-
-
0001518684
-
On the construction and comparison of difference schemes
-
Strang G. On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5:1968;506.
-
(1968)
SIAM J. Numer. Anal.
, vol.5
, pp. 506
-
-
Strang, G.1
-
34
-
-
0032338727
-
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
-
Villani C. On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Arch. Rat. Mech. Anal. 143:1998;273.
-
(1998)
Arch. Rat. Mech. Anal.
, vol.143
, pp. 273
-
-
Villani, C.1
-
35
-
-
0001486548
-
Difference schemes for the time evolution of three-dimensional kinetic equations
-
Zaitsev F. S., Longinov V. V., O'Brien M. R., Tunner R. Difference schemes for the time evolution of three-dimensional kinetic equations. J. Comput. Phys. 147:1998;239.
-
(1998)
J. Comput. Phys.
, vol.147
, pp. 239
-
-
Zaitsev, F.S.1
Longinov, V.V.2
O'Brien, M.R.3
Tunner, R.4
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