-
1
-
-
12844260895
-
A relaxation method for two-phase flow models with hydrodynamic closure law
-
[1]
-
[1] M. Baudin, C. Berthon, F. Coquel, R. Masson and H. Tran, A relaxation method for two-phase flow models with hydrodynamic closure law, Numer. Math. 99, 3, 411-440, 2005.
-
(2005)
Numer. Math
, vol.99
, Issue.3
, pp. 411-440
-
-
Baudin, M.1
Berthon, C.2
Coquel, F.3
Masson, R.4
Tran, H.5
-
2
-
-
0000494892
-
Higher order Godunov methods for general systems of hyperbolic conservation laws
-
[2]
-
[2] J. B. Bell, P. Colella and J. A. Trangenstein, Higher order Godunov methods for general systems of hyperbolic conservation laws, J. Comput. Phys. 82, 2, 362-397, 1989.
-
(1989)
J. Comput. Phys
, vol.82
, Issue.2
, pp. 362-397
-
-
Bell, J. B.1
Colella, P.2
Trangenstein, J. A.3
-
3
-
-
48349083249
-
A second-order Godunov-type scheme for compressible fluid dynamics
-
[3]
-
[3] M. Ben-Artzi and J. Falcovitz, A second-order Godunov-type scheme for compressible fluid dynamics, J. Comput. Phys. 55, 1, 1-32, 1984.
-
(1984)
J. Comput. Phys
, vol.55
, Issue.1
, pp. 1-32
-
-
Ben-Artzi, M.1
Falcovitz, J.2
-
4
-
-
11844293475
-
Inégalités d'entropie pour un schéma de relaxation
-
[4]
-
[4] C. Berthon, Inégalités d'entropie pour un schéma de relaxation, C. R. Acad. Sci. I, Math. 340,63-68, 2005.
-
(2005)
C. R. Acad. Sci. I, Math
, vol.340
, pp. 63-68
-
-
Berthon, C.1
-
5
-
-
15744375324
-
Nonlinear stability of finite volume methods for hyperbolic conservation laws, and well-balanced schemes for sources
-
[5] Birkhauser
-
[5] F. Bouchut, Nonlinear stability of finite volume methods for hyperbolic conservation laws, and well-balanced schemes for sources, Frontiers in Mathematics series, Birkhauser, 2004.
-
(2004)
Frontiers in Mathematics series
-
-
Bouchut, F.1
-
6
-
-
0030509253
-
A MUSCL method satisfying all the numerical entropy inequalities
-
[6]
-
[6] F. Bouchut, Ch. Bourdarias and B. Perthame, A MUSCL method satisfying all the numerical entropy inequalities, Math. Comp. 65, 216, 1439-1461, 1996.
-
(1996)
Math. Comp
, vol.65
, Issue.216
, pp. 1439-1461
-
-
Bouchut, F.1
Bourdarias, Ch.2
Perthame, B.3
-
7
-
-
0040686631
-
An asymptotic expansion for the solution of the generalized Riemann problem. II. Application to the equations of gas dynamics
-
[7]
-
[7] A. Bourgeade, P. LeFloch and P. A. Raviart, An asymptotic expansion for the solution of the generalized Riemann problem. II. Application to the equations of gas dynamics, Ann. Inst. H. Poincar Anal. Non Linaire 6, 6, 437-480, 1989.
-
(1989)
Ann. Inst. H. Poincar Anal. Non Linaire
, vol.6
, Issue.6
, pp. 437-480
-
-
Bourgeade, A.1
LeFloch, P.2
Raviart, P. A.3
-
8
-
-
0000480805
-
A direct Eulerian MUSCL scheme for gas dynamics
-
[8]
-
[8] P. Colella, A direct Eulerian MUSCL scheme for gas dynamics, SIAM J. Sci. Statist. Comput.6, 1, 104-117, 1985.
-
(1985)
SIAM J. Sci. Statist. Comput
, vol.6
, Issue.1
, pp. 104-117
-
-
Colella, P.1
-
9
-
-
0030501943
-
An entropy satisfying MUSCL scheme for systems of conservation laws
-
[9]
-
[9] F. Coquel and P. LeFloch, An entropy satisfying MUSCL scheme for systems of conservation laws, Numer. Math. 74, 1, 1-33, 1996.
-
(1996)
Numer. Math
, vol.74
, Issue.1
, pp. 1-33
-
-
Coquel, F.1
LeFloch, P.2
-
10
-
-
0001130290
-
Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics
-
[10]
-
[10] F. Coquel and B. Perthame, Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics, SIAM J. Numer. Anal. 35, 6, 2223-2249, 1998.
-
(1998)
SIAM J. Numer. Anal
, vol.35
, Issue.6
, pp. 2223-2249
-
-
Coquel, F.1
Perthame, B.2
-
12
-
-
0003561274
-
Hyperbolic Systems of Conservations Laws, Tome 2
-
[12] Applied Mathematical Sciences, Springer
-
[12] E. Godlewsky and P. A. Raviart, Hyperbolic Systems of Conservations Laws, Tome 2, Applied Mathematical Sciences, Springer, 118, 1995.
-
(1995)
, vol.118
-
-
Godlewsky, E.1
Raviart, P. A.2
-
13
-
-
0000935266
-
A difference scheme for numerical computation of discontinuous solutions of equations of fluids dynamics
-
[13]
-
[13] S. K. Godunov, A difference scheme for numerical computation of discontinuous solutions of equations of fluids dynamics, Math. Sbornik, 47, 271-306, 1959.
-
(1959)
Math. Sbornik
, vol.47
, pp. 271-306
-
-
Godunov, S. K.1
-
14
-
-
0000876320
-
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
-
[14]
-
[14] A. Harten, P. D. Lax and B. Van Leer, On upstream differencing and Godunov-type schemes for hyperbolic conservation laws, SIAM Review, 25, 1, 35-61, 1983.
-
(1983)
SIAM Review
, vol.25
, Issue.1
, pp. 35-61
-
-
Harten, A.1
Lax, P. D.2
Van Leer, B.3
-
15
-
-
0023329384
-
Uniformly high-order accurate nonoscillatory schemes
-
[15]
-
[15] A. Harten and S. Osher, Uniformly high-order accurate nonoscillatory schemes, SIAM J. Nu-mer. Anal. 24, 2, 279-309, 1987.
-
(1987)
SIAM J. Nu-mer. Anal
, vol.24
, Issue.2
, pp. 279-309
-
-
Harten, A.1
Osher, S.2
-
16
-
-
84968497598
-
Maximum principle on the entropy and second-order kinetic schemes
-
[16]
-
[16] B. Khobalatte and B. Perthame, Maximum principle on the entropy and second-order kinetic schemes, Math. of Comp., 62, 205, 119-131, 1994.
-
(1994)
Math. of Comp
, vol.62
, Issue.205
, pp. 119-131
-
-
Khobalatte, B.1
Perthame, B.2
-
19
-
-
2442433925
-
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
-
[19]
-
[19] B. van Leer, Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method, J. comput. Phys., 32, 101-136, 1979.
-
(1979)
J. comput. Phys
, vol.32
, pp. 101-136
-
-
van Leer, B.1
-
20
-
-
0003733595
-
-
[20] Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge
-
[20] R. J. LeVeque, Finite Volume Methods for Hyperbolic Problems, Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge, 2002.
-
(2002)
Finite Volume Methods for Hyperbolic Problems
-
-
LeVeque, R. J.1
-
21
-
-
0000955565
-
Boltzmann type schemes for gas dynamics and the entropy property
-
[21]
-
[21] B. Perthame, Boltzmann type schemes for gas dynamics and the entropy property, SIAM J. Numer. Anal., 27, 6, 1405-1421, 1990.
-
(1990)
SIAM J. Numer. Anal
, vol.27
, Issue.6
, pp. 1405-1421
-
-
Perthame, B.1
-
22
-
-
0026818681
-
Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions
-
[22]
-
[22] B. Perthame, Second-order Boltzmann schemes for compressible Euler equations in one and two space dimensions, SIAM J. Numer. Anal., 29, 1, 1-19, 1992.
-
(1992)
SIAM J. Numer. Anal
, vol.29
, Issue.1
, pp. 1-19
-
-
Perthame, B.1
-
23
-
-
0008511497
-
A variant of Van Leer's method for multidimensional systems of conservation laws
-
[23]
-
[23] B. Perthame and Y. Qiu, A variant of Van Leer's method for multidimensional systems of conservation laws, J. Comput. Phys., 112, 2, 370-381, 1994.
-
(1994)
J. Comput. Phys
, vol.112
, Issue.2
, pp. 370-381
-
-
Perthame, B.1
Qiu, Y.2
-
24
-
-
0022796245
-
A minimum entropy principle in the gas dynamics equations
-
[24]
-
[24] E. Tadmor, A minimum entropy principle in the gas dynamics equations Appl. Numer. Math.,2, 3-5, 211-219, 1986.
-
(1986)
Appl. Numer. Math
, vol.2
, Issue.3-5
, pp. 211-219
-
-
Tadmor, E.1
-
25
-
-
0036735663
-
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
-
[25]
-
[25] A. Kurganov and E. Tadmor, Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers, Numer. Methods Partial Differential Equations, 18, 5, 584-608, 2002.
-
(2002)
Numer. Methods Partial Differential Equations
, vol.18
, Issue.5
, pp. 584-608
-
-
Kurganov, A.1
Tadmor, E.2
-
27
-
-
84990701264
-
The relaxation scheme for systems of conservation laws in arbitrary space dimensions
-
[27]
-
[27] S. Jin and Z. Xin, The relaxation scheme for systems of conservation laws in arbitrary space dimensions, Comm. Pure and Appl. Math., 48, 235-276, 1995.
-
(1995)
Comm. Pure and Appl. Math
, vol.48
, pp. 235-276
-
-
Jin, S.1
Xin, Z.2
|