-
1
-
-
0000139676
-
Wavelet-like bases for the fast solution of second-kind integral equations
-
B. ALPERT, G. BEYLKIN, R. COIFMAN, AND V. ROKHLIN, Wavelet-like bases for the fast solution of second-kind integral equations, SIAM J. Sci. Comput., 14 (1993), pp. 159-184.
-
(1993)
SIAM J. Sci. Comput
, vol.14
, pp. 159-184
-
-
ALPERT, B.1
BEYLKIN, G.2
COIFMAN, R.3
ROKHLIN, V.4
-
2
-
-
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), pp. 223-233.
-
(1986)
Math. Methods Appl. Sci
, vol.8
, pp. 223-233
-
-
BABOVSKY, H.1
-
5
-
-
0000411415
-
The theory of the nonlinear spatially uniform Boltzmann equation for Maxwell molecules
-
A. V. BOBYLEV, The theory of the nonlinear spatially uniform Boltzmann equation for Maxwell molecules, Math. Phys. Reviews, 7 (1988), pp. 111-233.
-
(1988)
Math. Phys. Reviews
, vol.7
, pp. 111-233
-
-
BOBYLEV, A.V.1
-
6
-
-
0000199825
-
On approximation of the Boltzmann equation by discrete velocity models
-
A. V. BOBYLEV, A. PALCZEWSKI, AND J. SCHNEIDER, On approximation of the Boltzmann equation by discrete velocity models, C. R. Acad. Sci. Paris Sér. I Math., 320 (1995), pp. 639-644.
-
(1995)
C. R. Acad. Sci. Paris Sér. I Math
, vol.320
, pp. 639-644
-
-
BOBYLEV, A.V.1
PALCZEWSKI, A.2
SCHNEIDER, J.3
-
7
-
-
0030672209
-
Difference scheme for the Boltzmann equation based on the fast Fourier transform
-
A. V. BOBYLEV AND S. RJASANOW, Difference scheme for the Boltzmann equation based on the fast Fourier transform, Eur. J. Mech. B Fluids, 16 (1997), pp. 293-306.
-
(1997)
Eur. J. Mech. B Fluids
, vol.16
, pp. 293-306
-
-
BOBYLEV, A.V.1
RJASANOW, S.2
-
8
-
-
0033189154
-
Fast deterministic method of solving the Boltzmann equation for hard spheres
-
A. V. BOBYLEV AND S. RJASANOW, Fast deterministic method of solving the Boltzmann equation for hard spheres, Eur. J. Mech. B Fluids, 18 (1999), pp. 869-887.
-
(1999)
Eur. J. Mech. B Fluids
, vol.18
, pp. 869-887
-
-
BOBYLEV, A.V.1
RJASANOW, S.2
-
9
-
-
27744542010
-
Fast multipole method for multivariables integrals
-
O. BOKANOWSKI AND M. LEMOU, Fast multipole method for multivariables integrals, SIAM J. Numer. Anal., 42 (2005), pp. 2098-2117.
-
(2005)
SIAM J. Numer. Anal
, vol.42
, pp. 2098-2117
-
-
BOKANOWSKI, O.1
LEMOU, M.2
-
10
-
-
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, Transp. Theory Statist. Phys., 25 (1996), pp. 33-60.
-
(1996)
Transp. Theory Statist. Phys
, vol.25
, pp. 33-60
-
-
BUET, C.1
-
11
-
-
0003766476
-
Spectral Methods in Fluid Dynamics
-
Phys, Springer-Verlag, New York
-
C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI, AND T. A. ZANG, Spectral Methods in Fluid Dynamics, Springer Ser. Comput. Phys., Springer-Verlag, New York, 1988.
-
(1988)
Springer Ser. Comput
-
-
CANUTO, C.1
HUSSAINI, M.Y.2
QUARTERONI, A.3
ZANG, T.A.4
-
12
-
-
0040330066
-
Sur la théorie de l'équation intégrodifférentielle de Boltzmann
-
T. CARLEMAN, Sur la théorie de l'équation intégrodifférentielle de Boltzmann, Acta Math., 60 (1933), pp. 91-146.
-
(1933)
Acta Math
, vol.60
, pp. 91-146
-
-
CARLEMAN, T.1
-
13
-
-
0004116529
-
-
Appl. Math. Sci. 106, Springer-Verlag, New York
-
C. CERCIGNANI, R. ILLNER, AND M. PULVIRENTI, The Mathematical Theory of Dilute Gases, Appl. Math. Sci. 106, Springer-Verlag, New York, 1994.
-
(1994)
The Mathematical Theory of Dilute Gases
-
-
CERCIGNANI, C.1
ILLNER, R.2
PULVIRENTI, M.3
-
14
-
-
84980134667
-
Numerical solution of Boltzmann's equation
-
A. J. CHORIN, Numerical solution of Boltzmann's equation, Comm. Pure Appl. Math., 25 (1972), pp. 171-186.
-
(1972)
Comm. Pure Appl. Math
, vol.25
, pp. 171-186
-
-
CHORIN, A.J.1
-
15
-
-
34249045270
-
-
P. DEGOND, L. PARESCHI, AND G. RUSSO, EDS., Modeling and Computational Methods for Kinetic Equations, Model. Simul. Sci. Eng. Technol. Birkhäuser Boston, Boston, MA, 2004.
-
P. DEGOND, L. PARESCHI, AND G. RUSSO, EDS., Modeling and Computational Methods for Kinetic Equations, Model. Simul. Sci. Eng. Technol. Birkhäuser Boston, Boston, MA, 2004.
-
-
-
-
16
-
-
12844275468
-
On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation
-
L. DESVILLETTES AND C. VILLANI, On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation, Invent. Math., 159 (2005), pp. 245-316.
-
(2005)
Invent. Math
, vol.159
, pp. 245-316
-
-
DESVILLETTES, L.1
VILLANI, C.2
-
17
-
-
0010032457
-
The first and second fluid approximations to the linearized Boltzmann equation
-
R. S. ELLIS AND M. A. PINSKY, The first and second fluid approximations to the linearized Boltzmann equation, J. Math, Pures Appl., 54 (1975), pp. 125-156.
-
(1975)
J. Math, Pures Appl
, vol.54
, pp. 125-156
-
-
ELLIS, R.S.1
PINSKY, M.A.2
-
18
-
-
0035456220
-
Conservative numerical schemes for the Vlasov equation
-
F. FILBET, E. SONNENDRÜCKER, AND P. BERTRAND, Conservative numerical schemes for the Vlasov equation, J. Comput. Phys., 172 (2001), pp. 166-187.
-
(2001)
J. Comput. Phys
, vol.172
, pp. 166-187
-
-
FILBET, F.1
SONNENDRÜCKER, E.2
BERTRAND, P.3
-
19
-
-
0037054256
-
A numerical method for the accurate solution of the Fokker-Planck-Landau equation in the nonhomogeneous case
-
F. FILBET AND L. PARESCHI, A numerical method for the accurate solution of the Fokker-Planck-Landau equation in the nonhomogeneous case, J. Comput. Phys., 179 (2002), pp. 1-26.
-
(2002)
J. Comput. Phys
, vol.179
, pp. 1-26
-
-
FILBET, F.1
PARESCHI, L.2
-
20
-
-
0037431128
-
High order numerical methods for the space non-homogeneous Boltzmann equation
-
F. FILBET AND G. RUSSO, High order numerical methods for the space non-homogeneous Boltzmann equation, J. Comput. Phys., 186 (2003), pp. 457-480.
-
(2003)
J. Comput. Phys
, vol.186
, pp. 457-480
-
-
FILBET, F.1
RUSSO, G.2
-
21
-
-
8744308325
-
Accurate numerical methods for the collisional motion of (heated) granular flows
-
F. FILBET, L. PARESCHI, AND G. TOSCANI, Accurate numerical methods for the collisional motion of (heated) granular flows, J. Comput. Phys., 202 (2005), pp. 216-235.
-
(2005)
J. Comput. Phys
, vol.202
, pp. 216-235
-
-
FILBET, F.1
PARESCHI, L.2
TOSCANI, G.3
-
22
-
-
34249017486
-
-
F. FILBET AND G. RUSSO, Accurate, numerical methods for the Boltzmann equation, in Modeling and Computational Methods for Kinetic Equations, Model Sumil. Sci Eng. Technol., Birkhäuser Boston, Boston, MA, 2004, pp. 117-145.
-
F. FILBET AND G. RUSSO, Accurate, numerical methods for the Boltzmann equation, in Modeling and Computational Methods for Kinetic Equations, Model Sumil. Sci Eng. Technol., Birkhäuser Boston, Boston, MA, 2004, pp. 117-145.
-
-
-
-
23
-
-
34249003222
-
-
F. FILBET AND G. RUSSO, A rescaling velocity method for kinetic equations: The homogeneous case, in Proceedings of the Workshop on Modelling and Numerics of Kinetic Dissipative Systems (Lipari, Italy), L. Pareschi, G. Russo, and G. Toscani, eds., Nova Science Publishers, Inc., Hauppauge, NY, 2006.
-
F. FILBET AND G. RUSSO, A rescaling velocity method for kinetic equations: The homogeneous case, in Proceedings of the Workshop on Modelling and Numerics of Kinetic Dissipative Systems (Lipari, Italy), L. Pareschi, G. Russo, and G. Toscani, eds., Nova Science Publishers, Inc., Hauppauge, NY, 2006.
-
-
-
-
24
-
-
0000677613
-
Relaxation schemes for nonlinear kinetic equations
-
E. GABETTA, L. PARESCHI, AND G. TOSCANI, Relaxation schemes for nonlinear kinetic equations, SIAM J. Numer. Anal., 34 (1997), pp. 2168-2194.
-
(1997)
SIAM J. Numer. Anal
, vol.34
, pp. 2168-2194
-
-
GABETTA, E.1
PARESCHI, L.2
TOSCANI, G.3
-
25
-
-
0041413233
-
The Vlasov-Maxwell-Boltzmann system near Maxwellians
-
Y. GUO, The Vlasov-Maxwell-Boltzmann system near Maxwellians, Invent. Math., 153 (2003), pp. 593-630.
-
(2003)
Invent. Math
, vol.153
, pp. 593-630
-
-
GUO, Y.1
-
26
-
-
0036451752
-
Numerical solution of the Boltzmann equation on the uniform grid
-
I. IBRAGIMOV AND S. RJASANOW, Numerical solution of the Boltzmann equation on the uniform grid, Computing, 69 (2002), pp. 163-186.
-
(2002)
Computing
, vol.69
, pp. 163-186
-
-
IBRAGIMOV, I.1
RJASANOW, S.2
-
27
-
-
8744245272
-
The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
-
T.-P. LIU AND S.-H. YU, The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation, Comm, Pure Appl. Math., 57 (2004), pp. 1543-1608.
-
(2004)
Comm, Pure Appl. Math
, vol.57
, pp. 1543-1608
-
-
LIU, T.-P.1
YU, S.-H.2
-
28
-
-
12844253883
-
Fast conservative and entropic methods for the Boson Boltzmann equation
-
P. A. MARKOWICH AND L. PARESCHI, Fast conservative and entropic methods for the Boson Boltzmann equation, Numer. Math., 99 (2005), pp. 509-532.
-
(2005)
Numer. Math
, vol.99
, pp. 509-532
-
-
MARKOWICH, P.A.1
PARESCHI, L.2
-
29
-
-
0008489918
-
Une méthode déterministe pour la résolution de l'équation de Boltzmann inhomogène
-
Y.-L. MARTIN, F. ROGIER, AND J. SCHNEIDER, Une méthode déterministe pour la résolution de l'équation de Boltzmann inhomogène, C. R. Acad. Sci. Paris Sér. I Math., 314 (1992), pp. 483-487.
-
(1992)
C. R. Acad. Sci. Paris Sér. I Math
, vol.314
, pp. 483-487
-
-
MARTIN, Y.-L.1
ROGIER, F.2
SCHNEIDER, J.3
-
30
-
-
34249094686
-
Cooling process for inelastic Boltzmann equations for hard spheres, Part II: Self-similar solutions and tail behavior
-
to appear
-
S. MISCHLER AND C. MOUHOT, Cooling process for inelastic Boltzmann equations for hard spheres, Part II: Self-similar solutions and tail behavior, J. Statist. Phys., to appear.
-
J. Statist. Phys
-
-
MISCHLER, S.1
MOUHOT, C.2
-
31
-
-
23444437485
-
Quantitative lower bounds for the full Boltzmann equation, Part I: Periodic boundary conditions
-
C. MOUHOT, Quantitative lower bounds for the full Boltzmann equation, Part I: Periodic boundary conditions, Comm. Partial Differential Equations, 30 (2005), pp. 881-917.
-
(2005)
Comm. Partial Differential Equations
, vol.30
, pp. 881-917
-
-
MOUHOT, C.1
-
32
-
-
2942588405
-
Fast methods for the Boltzmann collision operator
-
C. MOUHOT AND L. PARESCHI, Fast methods for the Boltzmann collision operator, C. R. Math. Acad. Sci. Paris, 339 (2004), pp. 71-76.
-
(2004)
C. R. Math. Acad. Sci. Paris
, vol.339
, pp. 71-76
-
-
MOUHOT, C.1
PARESCHI, L.2
-
33
-
-
33750849491
-
Fast algorithms for computing the Boltzmann collision operator
-
to appear
-
C. MOUHOT AND L. PARESCHI, Fast algorithms for computing the Boltzmann collision operator Math. Comp., to appear.
-
Math. Comp
-
-
MOUHOT, C.1
PARESCHI, L.2
-
34
-
-
34249072391
-
2 N) Algorithm for Computing Discrete Velocity Models
-
in preparation
-
2 N) Algorithm for Computing Discrete Velocity Models, in preparation.
-
-
-
MOUHOT, C.1
PARESCHI, L.2
-
35
-
-
0037262059
-
Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi elastic limit
-
G. NALDI, L. PARESCHI, AND G. TOSCANI, Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi elastic limit, M2AN Math. Model. Numer. Anal., 37 (2003), pp. 73-90.
-
(2003)
M2AN Math. Model. Numer. Anal
, vol.37
, pp. 73-90
-
-
NALDI, G.1
PARESCHI, L.2
TOSCANI, G.3
-
36
-
-
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. Japan, 52 (1083), pp. 2042-2049.
-
J. Phys. Soc. Japan
, vol.52
, Issue.1083
, pp. 2042-2049
-
-
NANBU, K.1
-
37
-
-
0008492827
-
A consistency result for a discrete-velocity model of the Boltzmann equation
-
A. PALCZEWSKI, J. SCHNEIDER, AND A. V. BOBYLEV, A consistency result for a discrete-velocity model of the Boltzmann equation, SIAM J. Numer. Anal., 34 (1997), pp. 1865-1883.
-
(1997)
SIAM J. Numer. Anal
, vol.34
, pp. 1865-1883
-
-
PALCZEWSKI, A.1
SCHNEIDER, J.2
BOBYLEV, A.V.3
-
38
-
-
0032049489
-
Existence, stability, and convergence of solutions of discrete velocity models to the Boltzmann equation
-
A. PALCZEWSKI AND J. SCHNEIDER, Existence, stability, and convergence of solutions of discrete velocity models to the Boltzmann equation, J. Statist. Phys., 91 (1998), pp. 307-326.
-
(1998)
J. Statist. Phys
, vol.91
, pp. 307-326
-
-
PALCZEWSKI, A.1
SCHNEIDER, J.2
-
39
-
-
0037052831
-
A new consistent discrete-velocity model for the Boltzmann equation
-
V. A. PANFEROV AND A. G. HEINTZ, A new consistent discrete-velocity model for the Boltzmann equation, Math. Methods Appl. Sci., 25 (2002), pp. 571-593.
-
(2002)
Math. Methods Appl. Sci
, vol.25
, pp. 571-593
-
-
PANFEROV, V.A.1
HEINTZ, A.G.2
-
40
-
-
0030518624
-
A Fourier spectral method for homogeneous Boltzmann equations
-
L. PARESCHI AND B. PERTHAME, A Fourier spectral method for homogeneous Boltzmann equations, Transp. Theory Statist. Phys., 25 (1996), pp. 369-382.
-
(1996)
Transp. Theory Statist. Phys
, vol.25
, pp. 369-382
-
-
PARESCHI, L.1
PERTHAME, B.2
-
41
-
-
0001752597
-
Numerical solution of the Boltzmann equation I. Spectrally accurate approximation of the collision operator
-
L. PARESCHI AND G. RUSSO, Numerical solution of the Boltzmann equation I. Spectrally accurate approximation of the collision operator, SIAM J. Numer. Anal., 37 (2000), pp. 1217-1245.
-
(2000)
SIAM J. Numer. Anal
, vol.37
, pp. 1217-1245
-
-
PARESCHI, L.1
RUSSO, G.2
-
42
-
-
0009597026
-
Fast spectral methods for the Fokker-Planck-Landau collision operator
-
L. PARESCHI, G. RUSSO, AND G. TOSCANI, Fast spectral methods for the Fokker-Planck-Landau collision operator, J. Comput. Phys., 165 (2000), pp. 216-236.
-
(2000)
J. Comput. Phys
, vol.165
, pp. 216-236
-
-
PARESCHI, L.1
RUSSO, G.2
TOSCANI, G.3
-
43
-
-
0034417788
-
On the stability of spectral methods for the homogeneous Boltzmann equation
-
L. PARESCHI AND G. RUSSO, On the stability of spectral methods for the homogeneous Boltzmann equation, Transp. Theory Statist. Phys., 29 (2000), pp. 431-447.
-
(2000)
Transp. Theory Statist. Phys
, vol.29
, pp. 431-447
-
-
PARESCHI, L.1
RUSSO, G.2
-
44
-
-
0031538651
-
A Maxwellian lower bound for solutions to the Boltzmann equation
-
A. PULVIRENTI AND B. WENNBERG, A Maxwellian lower bound for solutions to the Boltzmann equation, Comm. Math. Phys., 183 (1997), pp. 145-160.
-
(1997)
Comm. Math. Phys
, vol.183
, pp. 145-160
-
-
PULVIRENTI, A.1
WENNBERG, B.2
-
45
-
-
0040347813
-
A direct method for solving the Boltzmann equation
-
F. ROGIER AND J. SCHNEIDER, A direct method for solving the Boltzmann equation, Transp. Theory Statist. Phys., 23 (1994), pp. 313-338.
-
(1994)
Transp. Theory Statist. Phys
, vol.23
, pp. 313-338
-
-
ROGIER, F.1
SCHNEIDER, J.2
-
46
-
-
84980167174
-
A numerical solution of Boltzmann's equation
-
G. A. SOD, A numerical solution of Boltzmann's equation, Comm. Pure Appl. Math., 30 (1977), pp. 391-419.
-
(1977)
Comm. Pure Appl. Math
, vol.30
, pp. 391-419
-
-
SOD, G.A.1
-
47
-
-
33644808362
-
-
R. STRAIN AND Y. GUO, Almost exponential decay near Maxwellian, Comm. Partial Differential Equations, 31 (2006), pp. 417-429.
-
R. STRAIN AND Y. GUO, Almost exponential decay near Maxwellian, Comm. Partial Differential Equations, 31 (2006), pp. 417-429.
-
-
-
-
48
-
-
0000824099
-
On the existence of global solutions of mixed problem for non-linear Boltzmann equation
-
S. UKAI, On the existence of global solutions of mixed problem for non-linear Boltzmann equation, Proc. Japan Acad., 50 (1974), pp. 179-184.
-
(1974)
Proc. Japan Acad
, vol.50
, pp. 179-184
-
-
UKAI, S.1
-
49
-
-
0038413035
-
A review of mathematical topics in collisional kinetic theory
-
S. Friedlander and D. Serre, eds, North-Holland, Amsterdam
-
C. VILLANI, A review of mathematical topics in collisional kinetic theory, in Handbook of Mathematical Fluid Mechanics, Vol. 1, S. Friedlander and D. Serre, eds., North-Holland, Amsterdam, 2002, pp. 91-309.
-
(2002)
Handbook of Mathematical Fluid Mechanics
, vol.1
, pp. 91-309
-
-
VILLANI, C.1
|