-
1
-
-
0345954831
-
The fourth degree exponential distribution function
-
27988 0037.36309 10.1214/aoms/1177730155
-
Aroian L.A.: The fourth degree exponential distribution function. Ann. Math. Stat. 19(4), 589-592 (1948)
-
(1948)
Ann. Math. Stat.
, vol.19
, Issue.4
, pp. 589-592
-
-
Aroian, L.A.1
-
3
-
-
0002401895
-
Numerical methods for gasdynamic systems on unstructured meshes
-
M. Kröner C. Ohlberger Rohde (eds) Springer Berlin, Freiburg
-
Barth T.J.: Numerical methods for gasdynamic systems on unstructured meshes. In: Kröner, M., Ohlberger, C., Rohde, (eds.) An Introduction to Recent Developments in Theory and Numerics for Conservation Laws: Proceedings of the International School, vol. 5., Springer, Berlin, Freiburg (1999)
-
(1999)
An Introduction to Recent Developments in Theory and Numerics for Conservation Laws: Proceedings of the International School, Vol. 5.
-
-
Barth, T.J.1
-
4
-
-
33645947992
-
On discontinuous Galerkin approximations of Boltzmann moment systems with Levermore closure
-
2220921 2006CMAME.195.3311B 1126.76027 10.1016/j.cma.2005.06.016
-
Barth T.J.: On discontinuous Galerkin approximations of Boltzmann moment systems with Levermore closure. Comput. Methods Appl. Mech. Eng. 195, 3311-3330 (2006)
-
(2006)
Comput. Methods Appl. Mech. Eng.
, vol.195
, pp. 3311-3330
-
-
Barth, T.J.1
-
5
-
-
26344468007
-
A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems
-
1954PhRv.94.511B 0055.23609 10.1103/PhysRev.94.511
-
Bhatnagar P.L., Gross E.P., Krook M.: A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94(3), 511-525 (1954)
-
(1954)
Phys. Rev.
, vol.94
, Issue.3
, pp. 511-525
-
-
Bhatnagar, P.L.1
Gross, E.P.2
Krook, M.3
-
6
-
-
84890433677
-
-
Paper, workshop on scientific computing 97, Hong Kong
-
Boley, D., Luk, F., Vandevoorde, D.: Vandermonde factorization of a Hankel matrix. Paper, workshop on scientific computing 97, Hong Kong (1997)
-
(1997)
Vandermonde Factorization of A Hankel Matrix
-
-
Boley, D.1
Luk, F.2
Vandevoorde, D.3
-
7
-
-
0035530410
-
Hyperbolicity region in extended thermodynamics with 14 moments
-
2001CMT.13.1B 0980.76076 10.1007/s001610100036
-
Brini F.: Hyperbolicity region in extended thermodynamics with 14 moments. Continuum Mech. Thermodyn. 13, 1-8 (2001)
-
(2001)
Continuum Mech. Thermodyn.
, vol.13
, pp. 1-8
-
-
Brini, F.1
-
9
-
-
77953641147
-
-
Paper 95-1677, AIAA
-
Brown, S.L., Roe, P.L., Groth, C.P.T.: Numerical solution of a 10-moment model for nonequilibrium gasdynamics. Paper 95-1677, AIAA (1995)
-
(1995)
Numerical Solution of A 10-moment Model for Nonequilibrium Gasdynamics
-
-
Brown, S.L.1
Roe, P.L.2
Groth, C.P.T.3
-
12
-
-
0001528492
-
Maximization of the entropy in non-equilibrium
-
926398 1987JPhA.20.6505D 0633.76081 10.1088/0305-4470/20/18/047
-
Dreyer W.: Maximization of the entropy in non-equilibrium. J. Phys. A: Math. Gen. 20, 6505-6517 (1987)
-
(1987)
J. Phys. A: Math. Gen.
, vol.20
, pp. 6505-6517
-
-
Dreyer, W.1
-
14
-
-
0001380483
-
Systems of conservation laws with a convex extension
-
285799 1971PNAS.68.1686F 0229.35061
-
Friedrichs K.O., Lax P.D.: Systems of conservation laws with a convex extension. ProcNAS 68, 1686-1688 (1971)
-
(1971)
ProcNAS
, vol.68
, pp. 1686-1688
-
-
Friedrichs, K.O.1
Lax, P.D.2
-
15
-
-
0000935266
-
Finite-difference method for numerical computations of discontinuous solutions of the equations of fluid dynamics
-
119433
-
Godunov S.K.: Finite-difference method for numerical computations of discontinuous solutions of the equations of fluid dynamics. Mat. Sb. 47, 271-306 (1959)
-
(1959)
Mat. Sb.
, vol.47
, pp. 271-306
-
-
Godunov, S.K.1
-
16
-
-
0001187980
-
An interesting class of quasilinear systems
-
0125.06002
-
Godunov S.K.: An interesting class of quasilinear systems. Sov. Math. Dokl. 2, 947-949 (1961)
-
(1961)
Sov. Math. Dokl.
, vol.2
, pp. 947-949
-
-
Godunov, S.K.1
-
17
-
-
0004094529
-
-
Cambridge University Press Cambridge 10.1017/CBO9780511524943
-
Gombosi T.I.: Gaskinetic Theory. Cambridge University Press, Cambridge (1994)
-
(1994)
Gaskinetic Theory
-
-
Gombosi, T.I.1
-
18
-
-
84980081651
-
On the kinetic theory of rarefied gases
-
33674 0037.13104 10.1002/cpa.3160020403
-
Grad H.: On the kinetic theory of rarefied gases. Commun. Pure Appl. Math. 2, 331-407 (1949)
-
(1949)
Commun. Pure Appl. Math.
, vol.2
, pp. 331-407
-
-
Grad, H.1
-
19
-
-
76449087294
-
Towards physically-realizable and hyperbolic moment closures for kinetic theory
-
2576407 2009CMT.21.467G 1184.76839 10.1007/s00161-009-0125-1
-
Groth C.P.T., McDonald J.G.: Towards physically-realizable and hyperbolic moment closures for kinetic theory. Continuum Mech. Thermodyn. 21, 467-493 (2009)
-
(2009)
Continuum Mech. Thermodyn.
, vol.21
, pp. 467-493
-
-
Groth, C.P.T.1
McDonald, J.G.2
-
20
-
-
0000061169
-
Hermitian transformations of deficiency-index (1, 1), Jacobian matrices, and undetermined moment problems
-
11169 0061.25808 10.2307/2371763
-
Hamburger H.L.: Hermitian transformations of deficiency-index (1, 1), Jacobian matrices, and undetermined moment problems. Am. J. Math. 66, 489-552 (1944)
-
(1944)
Am. J. Math.
, vol.66
, pp. 489-552
-
-
Hamburger, H.L.1
-
21
-
-
0000876320
-
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
-
693713 0565.65051 10.1137/1025002
-
Harten A., Lax P.D., van Leer B.: On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25(1), 35-61 (1983)
-
(1983)
SIAM Rev.
, vol.25
, Issue.1
, pp. 35-61
-
-
Harten, A.1
Lax, P.D.2
Van Leer, B.3
-
22
-
-
55549148422
-
Convex duality and entropy-based moment closures: Characterizing degenerate densities
-
2421338 1167.49033 10.1137/070691139
-
Hauck C.D., Levermore C.D., Tits A.L.: Convex duality and entropy-based moment closures: Characterizing degenerate densities. SIAM J. Control Opt. 47(4), 1977-2015 (2008)
-
(2008)
SIAM J. Control Opt.
, vol.47
, Issue.4
, pp. 1977-2015
-
-
Hauck, C.D.1
Levermore, C.D.2
Tits, A.L.3
-
23
-
-
0040731052
-
Allgemeine 13-momenten-näherung zur Fokker-Planck-Gleichung eines plasmas
-
189434 1965ZNatA.20.1243H
-
Hertweck F.: Allgemeine 13-momenten-näherung zur Fokker-Planck-Gleichung eines plasmas. Zeitschrift für Naturforschung 20a, 1243-1255 (1965)
-
(1965)
Zeitschrift für Naturforschung
, vol.20
, pp. 1243-1255
-
-
Hertweck, F.1
-
25
-
-
0001228503
-
Kinetic theory of shock structure using an ellipsoidal distribution function
-
J.H. de Leeuw (eds) Academic Press New York, NY
-
Holway L.H.: Kinetic theory of shock structure using an ellipsoidal distribution function. In: de Leeuw, J.H. (ed.) Rarefied Gas Dynamics, vol. I., pp. 193-215. Academic Press, New York, NY (1966)
-
(1966)
Rarefied Gas Dynamics, Vol. I.
, pp. 193-215
-
-
Holway, L.H.1
-
26
-
-
36849110965
-
New statistical models for kinetic theory: Methods of construction
-
1966PhFl.9.1658H 10.1063/1.1761920
-
Holway L.H.: New statistical models for kinetic theory: methods of construction. Phys. Fluids 9(9), 1658-1673 (1966)
-
(1966)
Phys. Fluids
, vol.9
, Issue.9
, pp. 1658-1673
-
-
Holway, L.H.1
-
27
-
-
76449096620
-
The effect of collisional models upon shock wave structure
-
C.L. Brundin (eds) Academic Press New York, NY
-
Holway L.H.: The effect of collisional models upon shock wave structure. In: Brundin, C.L. (ed.) Rarefied Gas Dynamics, vol. I., pp. 759-784. Academic Press, New York, NY (1967)
-
(1967)
Rarefied Gas Dynamics, Vol. I.
, pp. 759-784
-
-
Holway, L.H.1
-
29
-
-
0032259525
-
Domain of definition of Levermore's five-moment system
-
1666220 1998JSP.93.1143J 0952.82024 10.1023/B:JOSS.0000033155.07331.d9
-
Junk M.: Domain of definition of Levermore's five-moment system. J. Stat. Phys. 93(5/6), 1143-1167 (1998)
-
(1998)
J. Stat. Phys.
, vol.93
, Issue.56
, pp. 1143-1167
-
-
Junk, M.1
-
30
-
-
0036027254
-
Maximum entropy moment systems and Galilean invariance
-
1947087 2002CMT.14.563J 1024.76044 10.1007/s00161-002-0096-y
-
Junk M.: Maximum entropy moment systems and Galilean invariance. Continuum Mech. Thermodyn. 14, 563-576 (2002)
-
(2002)
Continuum Mech. Thermodyn.
, vol.14
, pp. 563-576
-
-
Junk, M.1
-
32
-
-
0030534703
-
Moment closure hierarchies for kinetic theories
-
1392419 1996JSP.83.1021L 1081.82619 10.1007/BF02179552
-
Levermore C.D.: Moment closure hierarchies for kinetic theories. J. Stat. Phys. 83, 1021-1065 (1996)
-
(1996)
J. Stat. Phys.
, vol.83
, pp. 1021-1065
-
-
Levermore, C.D.1
-
33
-
-
30244450424
-
Maximum likelihood parameter estimation for the quartic exponential distribution
-
0414.62027 10.1080/00401706.1978.10489702
-
Matz A.W.: Maximum likelihood parameter estimation for the quartic exponential distribution. Technometrics 20(4), 475-484 (1978)
-
(1978)
Technometrics
, vol.20
, Issue.4
, pp. 475-484
-
-
Matz, A.W.1
-
34
-
-
0002550838
-
On the dynamical theory of gases
-
10.1098/rstl.1867.0004
-
Maxwell J.C.: On the dynamical theory of gases. Philos. Trans. R. Soc. Lond. 157, 49-88 (1867)
-
(1867)
Philos. Trans. R. Soc. Lond.
, vol.157
, pp. 49-88
-
-
Maxwell, J.C.1
-
38
-
-
84901355365
-
Gaussian moment closure for the modelling of continuum and micron-scale flows with moving boundaries
-
Deconinck, H., Dick, E. (eds.) Springer, Heidelberg
-
McDonald, J.G., Sachdev, J.S., Groth, C.P.T.: Gaussian moment closure for the modelling of continuum and micron-scale flows with moving boundaries. In: Deconinck, H., Dick, E. (eds.) Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD4, Ghent, Belgium, 10-14 July 2006, pp. 783-788. Springer, Heidelberg (2009)
-
(2009)
Proceedings of the Fourth International Conference on Computational Fluid Dynamics, ICCFD4, Ghent, Belgium, 10-14 July 2006
, pp. 783-788
-
-
McDonald, J.G.1
Sachdev, J.S.2
Groth, C.P.T.3
-
39
-
-
0037847018
-
Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics
-
1792255 10.1142/S0218202500000562
-
Mieussens L.: Discrete velocity model and implicit scheme for the BGK equation of rarefied gas dynamics. Math. Models Methods Appl. Sci. 10(8), 1121-1149 (2000)
-
(2000)
Math. Models Methods Appl. Sci.
, vol.10
, Issue.8
, pp. 1121-1149
-
-
Mieussens, L.1
-
40
-
-
0038575775
-
Extended thermodynamics - Consistent in order of magnitude
-
2003CMT.15.113M 1057.80002 10.1007/s00161-002-0106-0
-
Müller I., Reitebuch D., Weiss W.: Extended thermodynamics - consistent in order of magnitude. Continuum Mech. Thermodyn. 15, 113-146 (2003)
-
(2003)
Continuum Mech. Thermodyn.
, vol.15
, pp. 113-146
-
-
Müller, I.1
Reitebuch, D.2
Weiss, W.3
-
42
-
-
0039760999
-
Hydrodynamic equations for plasmas in strong magnetic fields - I collisionless approximation
-
1968PlPh.10.819O 10.1088/0032-1028/10/9/302
-
Oraevskii V., Chodura R., Feneberg W.: Hydrodynamic equations for plasmas in strong magnetic fields - i collisionless approximation. Plasma Phys. 10, 819-828 (1968)
-
(1968)
Plasma Phys.
, vol.10
, pp. 819-828
-
-
Oraevskii, V.1
Chodura, R.2
Feneberg, W.3
-
43
-
-
84890439640
-
A method of determining the constants in the bimodal fourth degree exponential function
-
10.1214/aoms/1177732802
-
O'Toole A.L.: A method of determining the constants in the bimodal fourth degree exponential function. Ann. Math. Stat. 4(2), 79-93 (1933)
-
(1933)
Ann. Math. Stat.
, vol.4
, Issue.2
, pp. 79-93
-
-
O'Toole, A.L.1
-
44
-
-
84890439640
-
On the system of curves for which the method of moments is the best method of fitting
-
10.1214/aoms/1177732820
-
O'Toole A.L.: On the system of curves for which the method of moments is the best method of fitting. Ann. Math. Stat. 4(1), 1-29 (1933)
-
(1933)
Ann. Math. Stat.
, vol.4
, Issue.1
, pp. 1-29
-
-
O'Toole, A.L.1
-
45
-
-
0003687441
-
-
Academic Press New York, NY 0308.47002
-
Reed M., Simon B.: Methods of Modern Mathematical Physics, II: Fourier Analysis, Self-adjointness. Academic Press, New York, NY (1975)
-
(1975)
Methods of Modern Mathematical Physics, II: Fourier Analysis, Self-adjointness
-
-
Reed, M.1
Simon, B.2
-
47
-
-
38849196125
-
A mesh adjustment scheme for embedded boundaries
-
1164.74549
-
Sachdev J.S., Groth C.P.T.: A mesh adjustment scheme for embedded boundaries. Commun. Comput. Phys. 2(6), 1095-1124 (2007)
-
(2007)
Commun. Comput. Phys.
, vol.2
, Issue.6
, pp. 1095-1124
-
-
Sachdev, J.S.1
Groth, C.P.T.2
-
48
-
-
38849170593
-
-
Paper 2005-5334, AIAA
-
Sachdev, J.S., Groth, C.P.T., Gottlieb, J.J.: Parallel AMR scheme for turbulent multi-phase rocket motor core flows. Paper 2005-5334, AIAA (2005)
-
(2005)
Parallel AMR Scheme for Turbulent Multi-phase Rocket Motor Core Flows
-
-
Sachdev, J.S.1
Groth, C.P.T.2
Gottlieb, J.J.3
-
49
-
-
3142672977
-
Entropic approximation in kinetic theory
-
2075759 1084.82010 10.1051/m2an:2004025
-
Schneider J.: Entropic approximation in kinetic theory. Math. Model. Numer. Anal. 38(3), 541-561 (2004)
-
(2004)
Math. Model. Numer. Anal.
, vol.38
, Issue.3
, pp. 541-561
-
-
Schneider, J.1
-
50
-
-
8844265401
-
Stable transport equations for rarefied gases at high orders in the Knudsen number
-
2097537 2004PhFl.16.3921S 10.1063/1.1782751
-
Struchtrup H.: Stable transport equations for rarefied gases at high orders in the Knudsen number. Phys. Fluids 16(11), 3921-3934 (2004)
-
(2004)
Phys. Fluids
, vol.16
, Issue.11
, pp. 3921-3934
-
-
Struchtrup, H.1
-
52
-
-
0141649317
-
Regularization of Grad's 13 moment equations: Derivation and linear analysis
-
2060065 2003PhFl.15.2668S 10.1063/1.1597472
-
Struchtrup H., Torrilhon M.: Regularization of Grad's 13 moment equations: derivation and linear analysis. Phys. Fluids 15, 2668-2680 (2003)
-
(2003)
Phys. Fluids
, vol.15
, pp. 2668-2680
-
-
Struchtrup, H.1
Torrilhon, M.2
-
53
-
-
34547278669
-
H theorem, regularization, and boundary conditions for the linearized 13 moment equations
-
2007PhRvL.99a4502S 10.1103/PhysRevLett.99.014502
-
Struchtrup H., Torrilhon M.: H theorem, regularization, and boundary conditions for the linearized 13 moment equations. Phys. Rev. Lett. 99, 014502 (2007)
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 014502
-
-
Struchtrup, H.1
Torrilhon, M.2
-
56
-
-
0034344280
-
Characteristic waves and dissipation in the 13-moment-case
-
1793239 2000CMT.12.289T 0991.76073 10.1007/s001610050138
-
Torrilhon M.: Characteristic waves and dissipation in the 13-moment-case. Continuum Mech. Thermodyn. 12, 289-301 (2000)
-
(2000)
Continuum Mech. Thermodyn.
, vol.12
, pp. 289-301
-
-
Torrilhon, M.1
-
57
-
-
77949758224
-
Hyperbolic moment equations in kinetic gas theory based on multi-variate Pearson-IV-distributions
-
2672963
-
Torrilhon M.: Hyperbolic moment equations in kinetic gas theory based on multi-variate Pearson-IV-distributions. Commun. Comput. Phys. 7(4), 639-673 (2010)
-
(2010)
Commun. Comput. Phys.
, vol.7
, Issue.4
, pp. 639-673
-
-
Torrilhon, M.1
-
58
-
-
37249021809
-
Boundary conditions for regularized 13 moment equations for micro-channel-flows
-
2450981 1132.76049 10.1016/j.jcp.2007.10.006
-
Torrilhon M., Struchtrup H.: Boundary conditions for regularized 13 moment equations for micro-channel-flows. J. Comput. Phys. 227, 1982-2011 (2008)
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 1982-2011
-
-
Torrilhon, M.1
Struchtrup, H.2
|