-
1
-
-
0022593645
-
On a simulation scheme for the Boltzmann equation
-
H. Babovsky, On a simulation scheme for the Boltzmann equation, Math. Methods Appl. Sci. 8 (1986) 223-233.
-
(1986)
Math. Methods Appl. Sci.
, vol.8
, pp. 223-233
-
-
Babovsky, H.1
-
2
-
-
0003478391
-
Molecular gas dynamics
-
Clarendon Press, Oxford
-
G.A. Bird, Molecular gas dynamics, Clarendon Press, Oxford, 1994.
-
(1994)
-
-
Bird, G.A.1
-
3
-
-
0030672209
-
Difference scheme for the Boltzmann equation based on the fast Fourier transform
-
A.V. Bobylev, S. Rjasanow, Difference scheme for the Boltzmann equation based on the fast Fourier transform, Eur. J. Mech. B/Fluids 16 (1997) 293-306.
-
(1997)
Eur. J. Mech. B/Fluids
, vol.16
, pp. 293-306
-
-
Bobylev, A.V.1
Rjasanow, S.2
-
4
-
-
0030547664
-
A discrete velocity scheme for the Boltzmann operator of rarefied gas dynamics
-
C. Buet, A discrete velocity scheme for the Boltzmann operator of rarefied gas dynamics, Transport Theory Statist. Phys. 25 (1996) 33-60.
-
(1996)
Transport Theory Statist. Phys.
, vol.25
, pp. 33-60
-
-
Buet, C.1
-
6
-
-
0004116529
-
The mathematical theory of dilute gases
-
Springer, New York
-
C. Cercignani, R. Illner, M. Pulvirenti, The mathematical theory of dilute gases, Springer, New York, 1995.
-
(1995)
-
-
Cercignani, C.1
Illner, R.2
Pulvirenti, M.3
-
7
-
-
0032599114
-
Parallelization of semi-Lagrangian Vlasov Codes
-
O. Coulaud, E. Sonnendrücker, E. Dillon, P. Bertrand, A. Ghizzo, Parallelization of semi-Lagrangian Vlasov Codes, J. Plasma Phys. 61 (1999) 435-448.
-
(1999)
J. Plasma Phys.
, vol.61
, pp. 435-448
-
-
Coulaud, O.1
Sonnendrücker, E.2
Dillon, E.3
Bertrand, P.4
Ghizzo, A.5
-
8
-
-
0033077906
-
A numerical solution to the Vlasov equation
-
E. Fijalkow, A numerical solution to the Vlasov equation, Comput. Phys. Commun. 116 (1999) 319-328.
-
(1999)
Comput. Phys. Commun.
, vol.116
, pp. 319-328
-
-
Fijalkow, E.1
-
9
-
-
0035456220
-
Conservative numerical schemes for the Vlasov equation
-
F. Filbet, E. Sonnendrücker, P. Bertrand, Conservative numerical schemes for the Vlasov equation, J. Comput. Phys. 172 (2001) 166-187.
-
(2001)
J. Comput. Phys.
, vol.172
, pp. 166-187
-
-
Filbet, F.1
Sonnendrücker, E.2
Bertrand, P.3
-
10
-
-
0001776391
-
Investigation of the motion of discrete velocity gases
-
AIAA, Washington
-
D. Goldstein, B. Sturtevant, J.E. Broadwell, Investigation of the motion of discrete velocity gases, Rar. Gas. Dynam., Progr. Astronautics e Aeronautics, 118, AIAA, Washington, 1989.
-
(1989)
Rar. Gas. Dynam., Progr. Astronautics E Aeronautics
, pp. 118
-
-
Goldstein, D.1
Sturtevant, B.2
Broadwell, J.E.3
-
11
-
-
0000109201
-
Numerical study of discrete velocity gases
-
T. Inamuro, B. Sturtevant, Numerical study of discrete velocity gases, Phys. Fluids A 12 (1990) 2196-2203.
-
(1990)
Phys. Fluids A
, vol.12
, pp. 2196-2203
-
-
Inamuro, T.1
Sturtevant, B.2
-
12
-
-
85190569450
-
-
private communication
-
R. Kirsch, private communication.
-
-
-
Kirsch, R.1
-
13
-
-
4243366477
-
Direct simulation scheme derived from the Boltzmann equation. I. Monocomponent gases
-
K. Nanbu, Direct simulation scheme derived from the Boltzmann equation. I. Monocomponent gases, J. Phys. Soc. Jpn. 52 (1983) 2042-2049.
-
(1983)
J. Phys. Soc. Jpn.
, vol.52
, pp. 2042-2049
-
-
Nanbu, K.1
-
14
-
-
28144455569
-
Nonoscillatory central differencing for hyperbolic conservation laws
-
H. Nessyahu, E. Tadmor, Nonoscillatory central differencing for hyperbolic conservation laws, J. Comput. Phys. 87 (1990) 408-463.
-
(1990)
J. Comput. Phys.
, vol.87
, pp. 408-463
-
-
Nessyahu, H.1
Tadmor, E.2
-
15
-
-
0002431749
-
Higher order approximation methods for the Boltzmann equation
-
T. Ohwada, Higher order approximation methods for the Boltzmann equation, J. Comput. Phys. 139 (1998) 1-14.
-
(1998)
J. Comput. Phys.
, vol.139
, pp. 1-14
-
-
Ohwada, T.1
-
16
-
-
0030518624
-
A Fourier spectral method for homogeneous Boltzmann equations
-
L. Pareschi, B. Perthame, A Fourier spectral method for homogeneous Boltzmann equations, Transport Theory Statist. Phys. 25 (1996) 369-383.
-
(1996)
Transport Theory Statist. Phys.
, vol.25
, pp. 369-383
-
-
Pareschi, L.1
Perthame, B.2
-
17
-
-
0034417788
-
On the stability of spectral methods for the homogeneous Boltzmann equation
-
Proceedings of the Fifth International Workshop on Mathematical Aspects of Fluid and Plasma Dynamics (Maui, HI, 1998)
-
L. Pareschi, G. Russo, On the stability of spectral methods for the homogeneous Boltzmann equation, in: Proceedings of the Fifth International Workshop on Mathematical Aspects of Fluid and Plasma Dynamics (Maui, HI, 1998), Transport Theory Statist. Phys. 29 (2000) 431-447.
-
(2000)
Transport Theory Statist. Phys.
, vol.29
, pp. 431-447
-
-
Pareschi, L.1
Russo, G.2
-
18
-
-
0001752597
-
Numerical solution of the Boltzmann equation. I. Spectrally accurate approximation of the collision operator
-
L. Pareschi, G. Russo, Numerical solution of the Boltzmann equation. I. Spectrally accurate approximation of the collision operator, SIAM J. Numer. Anal. 37 (2000) 1217-1245.
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 1217-1245
-
-
Pareschi, L.1
Russo, G.2
-
19
-
-
0036341659
-
Time Relaxed Monte Carlo methods for the Boltzmann equation
-
L. Pareschi, G. Russo, Time Relaxed Monte Carlo methods for the Boltzmann equation, SIAM J. Sci. Comput. 23 (2001) 1253-1273.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 1253-1273
-
-
Pareschi, L.1
Russo, G.2
-
21
-
-
0000034725
-
Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
-
B. Cockburn, C. Johnson, C.-W. Shu, E. Tadmor (Eds.), A. Quarteroni (Ed.), Lecture Notes in Mathematics, 1697, Springer, Berlin
-
C.-W. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, in: B. Cockburn, C. Johnson, C.-W. Shu, E. Tadmor (Eds.), Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, in: A. Quarteroni (Ed.), Lecture Notes in Mathematics, 1697, Springer, Berlin, 1998, pp. 325-432.
-
(1998)
Advanced Numerical Approximation of Nonlinear Hyperbolic Equations
, pp. 325-432
-
-
Shu, C.-W.1
-
22
-
-
0037455598
-
A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices, A Performance and comparisons with Monte Carlo methods
-
J.A. Carrillo, I.M. Gamba, A. Majorana, C.-W. Shu, A WENO-solver for the transients of Boltzmann-Poisson system for semiconductor devices, A Performance and comparisons with Monte Carlo methods, J. Comput. Phys. 184 (2003) 498-525.
-
(2003)
J. Comput. Phys.
, vol.184
, pp. 498-525
-
-
Carrillo, J.A.1
Gamba, I.M.2
Majorana, A.3
Shu, C.-W.4
-
23
-
-
0029671666
-
Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation
-
Y. Sone, K. Aoki, S. Takata, H. Sugimoto, A.V. Bobylev, Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: examination by asymptotic analysis and numerical computation of the Boltzmann equation, Phys. Fluids 8 (1996) 628-638.
-
(1996)
Phys. Fluids
, vol.8
, pp. 628-638
-
-
Sone, Y.1
Aoki, K.2
Takata, S.3
Sugimoto, H.4
Bobylev, A.V.5
-
24
-
-
0001518684
-
On the construction and comparison of difference schemes
-
G. Strang, On the construction and comparison of difference schemes, SIAM J. Numer. Anal. 5 (1968) 506-517.
-
(1968)
SIAM J. Numer. Anal.
, vol.5
, pp. 506-517
-
-
Strang, G.1
-
25
-
-
0004181419
-
Linear and nonlinear waves
-
Wiley/Interscience, New York
-
G.B. Whitham, Linear and nonlinear waves, Wiley/Interscience, New York, 1974.
-
(1974)
-
-
Whitham, G.B.1
-
26
-
-
84959596494
-
On Boltzmann's equation in the kinetic theory of gases
-
E. Wild, On Boltzmann's equation in the kinetic theory of gases, Proc. Cambridge Philos. Soc. 47 (1951) 602-609.
-
(1951)
Proc. Cambridge Philos. Soc.
, vol.47
, pp. 602-609
-
-
Wild, E.1
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