-
1
-
-
27144443898
-
Swap - A computer program for shock wave analysis
-
Sandia Nat. Labs., Albuquerque, NM
-
L.M. Barker, Swap - a computer program for shock wave analysis, Technical Report No. SC4796(RR), Sandia Nat. Labs., Albuquerque, NM (1963).
-
(1963)
Technical Report No. SC4796(RR)
-
-
Barker, L.M.1
-
2
-
-
0000831765
-
FRONTLINE and FRONTSIM: Two full scale, two-phase, black oil reservoir simulators based on front tracking
-
F. Bratvedt, K. Bratvedt, C.F. Buchholz, T. Gimse, H. Holden, L. Holden and N.H. Risebro, FRONTLINE and FRONTSIM: two full scale, two-phase, black oil reservoir simulators based on front tracking, Surveys Math. Indust. 3(3) (1993) 185-215.
-
(1993)
Surveys Math. Indust.
, vol.3
, Issue.3
, pp. 185-215
-
-
Bratvedt, F.1
Bratvedt, K.2
Buchholz, C.F.3
Gimse, T.4
Holden, H.5
Holden, L.6
Risebro, N.H.7
-
3
-
-
0006338644
-
Well-posedness of the Cauchy problem for n × n systems of conservation laws
-
to appear
-
A. Bressan, G. Crasta and B. Piccoli, Well-posedness of the Cauchy problem for n × n systems of conservation laws, Mem. Amer. Math. Soc., to appear.
-
Mem. Amer. Math. Soc.
-
-
Bressan, A.1
Crasta, G.2
Piccoli, B.3
-
4
-
-
0031295331
-
Uniqueness of weak solutions to systems of conservation laws
-
A. Bressan and P. LeFloch, Uniqueness of weak solutions to systems of conservation laws, Arch. Rational Mech. Anal. 140(4) (1997) 301-317.
-
(1997)
Arch. Rational Mech. Anal.
, vol.140
, Issue.4
, pp. 301-317
-
-
Bressan, A.1
Lefloch, P.2
-
5
-
-
27144439750
-
-
Preprint 99/03, Sonderforschungsbereich 404, University of Stuttgart, Stuttgart, Germany
-
R. Bürger, S. Evje, K.H. Karlsen and K.-A. Lie, Numerical methods for the simulation of the settling of flocculated suspensions, Preprint 99/03, Sonderforschungsbereich 404, University of Stuttgart, Stuttgart, Germany.
-
Numerical Methods for the Simulation of the Settling of Flocculated Suspensions
-
-
Bürger, R.1
Evje, S.2
Karlsen, K.H.3
Lie, K.-A.4
-
6
-
-
0001690234
-
Polygonal approximation of solutions of the initial value problem for a conservation law
-
C.M. Dafermos, Polygonal approximation of solutions of the initial value problem for a conservation law, J. Math. Anal. Appl. 38 (1972) 33-41.
-
(1972)
J. Math. Anal. Appl.
, vol.38
, pp. 33-41
-
-
Dafermos, C.M.1
-
7
-
-
0000469917
-
Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations
-
eds. P. Bjørstad and M. Luskin, The IMA Volumes in Mathematics and its Applications, Springer, New York
-
S. Evje, K.H. Karlsen, K.-A. Lie and N.H. Risebro, Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations, in: Parallel Solution of Partial Differential Equations, eds. P. Bjørstad and M. Luskin, The IMA Volumes in Mathematics and its Applications, Vol. 120 (Springer, New York, 2000) pp. 209-227.
-
(2000)
Parallel Solution of Partial Differential Equations
, vol.120
, pp. 209-227
-
-
Evje, S.1
Karlsen, K.H.2
Lie, K.-A.3
Risebro, N.H.4
-
8
-
-
21144479253
-
Conservation laws with discontinuous flux function
-
T. Gimse, Conservation laws with discontinuous flux function, SIAM J. Math. Anal. 24(2) (1993) 279-289.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, Issue.2
, pp. 279-289
-
-
Gimse, T.1
-
10
-
-
0001367271
-
Solution of the Cauchy problem for a conservation law with a discontinuous flux function
-
T. Gimse and N.H. Risebro, Solution of the Cauchy problem for a conservation law with a discontinuous flux function, SIAM J. Math. Anal. 23(3) (1992) 635-648.
-
(1992)
SIAM J. Math. Anal.
, vol.23
, Issue.3
, pp. 635-648
-
-
Gimse, T.1
Risebro, N.H.2
-
12
-
-
1542783186
-
Some numerical experiments with Dafermos's method for nonlinear hyperbolic equations
-
Tagung, Math. Forschungsinstitut, Oberwolfach (1971), Lecture Notes in Mathematics, Springer, Berlin
-
G.W. Hedstrom, Some numerical experiments with Dafermos's method for nonlinear hyperbolic equations, in: Numerische Lösung nichtlinearer partieller Differential- und Integrodifferentialgleichungen, Tagung, Math. Forschungsinstitut, Oberwolfach (1971), Lecture Notes in Mathematics, Vol. 267 (Springer, Berlin, 1972) pp. 117-138.
-
(1972)
Numerische Lösung Nichtlinearer Partieller Differential- und Integrodifferentialgleichungen
, vol.267
, pp. 117-138
-
-
Hedstrom, G.W.1
-
13
-
-
27144554434
-
The accuracy of Dafermos' method for nonlinear hyperbolic equations
-
Brno (1972), Folia Fac. Sci. Natur. Univ. Purkynianae Brunensis, Ser. Monograph., Tomus 1, Purkyně Univ., Brno
-
G.W. Hedstrom, The accuracy of Dafermos' method for nonlinear hyperbolic equations, in: Proc. of Equadiff III, 3rd Czechoslovak Conf. on Differential Equations and their Applications, Brno (1972), Folia Fac. Sci. Natur. Univ. Purkynianae Brunensis, Ser. Monograph., Tomus 1, Purkyně Univ., Brno (1973) pp. 175-178.
-
(1973)
Proc. of Equadiff III, 3rd Czechoslovak Conf. on Differential Equations and Their Applications
, pp. 175-178
-
-
Hedstrom, G.W.1
-
14
-
-
0001911914
-
On scalar conservation laws in one-dimension
-
eds. S. Albeverio, J.E. Fenstad, H. Holden and T. Lindstrøm Cambridge Univ. Press, Cambridge
-
H. Holden and L. Holden, On scalar conservation laws in one-dimension, in: Ideas and Methods in Mathematics and Physics, eds. S. Albeverio, J.E. Fenstad, H. Holden and T. Lindstrøm (Cambridge Univ. Press, Cambridge, 1988) pp. 480-509.
-
(1988)
Ideas and Methods in Mathematics and Physics
, pp. 480-509
-
-
Holden, H.1
Holden, L.2
-
15
-
-
0023859716
-
A numerical method for first order nonlinear scalar conservation laws in one-dimension
-
H. Holden, L. Holden and R. Høegh-Krohn, A numerical method for first order nonlinear scalar conservation laws in one-dimension, Comput. Math. Appl. 15(6-8) (1988) 595-602.
-
(1988)
Comput. Math. Appl.
, vol.15
, Issue.6-8
, pp. 595-602
-
-
Holden, H.1
Holden, L.2
Høegh-Krohn, R.3
-
17
-
-
0031259147
-
The Buckley-Leverett equation with spatially stochastic flux function
-
L. Holden, The Buckley-Leverett equation with spatially stochastic flux function, SIAM J. Appl. Math. 57(5) (1997) 1443-1454.
-
(1997)
SIAM J. Appl. Math.
, vol.57
, Issue.5
, pp. 1443-1454
-
-
Holden, L.1
-
18
-
-
0033239110
-
An unconditionally stable splitting for a class of nonlinear parabolic equations
-
K.H. Karlsen and K.-A. Lie, An unconditionally stable splitting for a class of nonlinear parabolic equations, IMA J. Numer. Anal. 19(4) (1999) 609-635.
-
(1999)
IMA J. Numer. Anal.
, vol.19
, Issue.4
, pp. 609-635
-
-
Karlsen, K.H.1
Lie, K.-A.2
-
19
-
-
0031997184
-
A front-tracking approach to a two-phase fluid-flow model with capillary forces
-
K.H. Karlsen, K.-A. Lie, N.H. Risebro and J. Frøyen, A front-tracking approach to a two-phase fluid-flow model with capillary forces, In Situ 22(1) (1998) 59-89.
-
(1998)
In Situ
, vol.22
, Issue.1
, pp. 59-89
-
-
Karlsen, K.H.1
Lie, K.-A.2
Risebro, N.H.3
Frøyen, J.4
-
20
-
-
0000055941
-
Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior
-
C. Klingenberg and N.H. Risebro, Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior, Comm. Partial Differential Equations 20(11/12) (1995) 1959-1990.
-
(1995)
Comm. Partial Differential Equations
, vol.20
, Issue.11-12
, pp. 1959-1990
-
-
Klingenberg, C.1
Risebro, N.H.2
-
21
-
-
84956238079
-
First order quasi-linear equations in several independent variables
-
S.N. Kružkov, First order quasi-linear equations in several independent variables, Math. USSR-Sb. 10(2) (1970) 217-243.
-
(1970)
Math. USSR-Sb.
, vol.10
, Issue.2
, pp. 217-243
-
-
Kružkov, S.N.1
-
22
-
-
0001161125
-
Accuracy of some approximative methods for computing the weak solutions of a first-order quasi-linear equation
-
N.N. Kuznetsov, Accuracy of some approximative methods for computing the weak solutions of a first-order quasi-linear equation, Comput. Math. Math. Phys. 16(6) (1976) 105-119.
-
(1976)
Comput. Math. Math. Phys.
, vol.16
, Issue.6
, pp. 105-119
-
-
Kuznetsov, N.N.1
-
23
-
-
0030173370
-
On an implementation of a front tracking method for hyperbolic conservation laws
-
J.O. Langseth, On an implementation of a front tracking method for hyperbolic conservation laws, Adv. in Engrg. Software 26(1) (1996) 45-63.
-
(1996)
Adv. in Engrg. Software
, vol.26
, Issue.1
, pp. 45-63
-
-
Langseth, J.O.1
-
24
-
-
0000814807
-
Large time step shock-capturing techniques for scalar conservation laws
-
R.J. LeVeque, Large time step shock-capturing techniques for scalar conservation laws, SIAM J. Numer. Anal. 19(6) (1982) 1091-1109.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, Issue.6
, pp. 1091-1109
-
-
Leveque, R.J.1
-
25
-
-
0022388409
-
A large time step generalization of Godunov's method for systems of conservation laws
-
R.J. LeVeque, A large time step generalization of Godunov's method for systems of conservation laws, SIAM J. Numer. Anal. 22(6) (1985) 1051-1073.
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, Issue.6
, pp. 1051-1073
-
-
Leveque, R.J.1
-
26
-
-
0000397010
-
A dimensional splitting method for nonlinear equations with variable coefficients
-
K.-A. Lie, A dimensional splitting method for nonlinear equations with variable coefficients, BIT 39(4) (1999) 683-700.
-
(1999)
BIT
, vol.39
, Issue.4
, pp. 683-700
-
-
Lie, K.-A.1
-
27
-
-
0001844855
-
A moving mesh numerical method for hyperbolic conservation laws
-
B.J. Lucier, A moving mesh numerical method for hyperbolic conservation laws, Math. Comp. 46(173) (1986) 59-69.
-
(1986)
Math. Comp.
, vol.46
, Issue.173
, pp. 59-69
-
-
Lucier, B.J.1
-
28
-
-
0002717472
-
Discontinuous solutions of non-linear differential equations
-
O.A. Oleinik, Discontinuous solutions of non-linear differential equations, Amer. Math. Soc. Transl. Ser. 2 26 (1963) 95-172.
-
(1963)
Amer. Math. Soc. Transl. Ser. 2
, vol.26
, pp. 95-172
-
-
Oleinik, O.A.1
-
29
-
-
0001354424
-
Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation
-
O.A. Oleinik, Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation, Amen Math. Soc. Transl. Ser. 2 33 (1963) 285-290.
-
(1963)
Amen Math. Soc. Transl. Ser. 2
, vol.33
, pp. 285-290
-
-
Oleinik, O.A.1
-
30
-
-
84966257267
-
A front-tracking alternative to the random choice method
-
N.H. Risebro, A front-tracking alternative to the random choice method, Proc. Amer. Math. Soc. 117(4)(1993) 1125-1139.
-
(1993)
Proc. Amer. Math. Soc.
, vol.117
, Issue.4
, pp. 1125-1139
-
-
Risebro, N.H.1
-
31
-
-
0001502445
-
Front tracking applied to a nonstrictly hyperbolic system of conservation laws
-
N.H. Risebro and A. Tveito, Front tracking applied to a nonstrictly hyperbolic system of conservation laws, SIAM J. Ser. Statist. Comput. 12(6) (1991) 1401-1419.
-
(1991)
SIAM J. Ser. Statist. Comput
, vol.12
, Issue.6
, pp. 1401-1419
-
-
Risebro, N.H.1
Tveito, A.2
-
32
-
-
0001027457
-
A front tracking method for conservation laws in one dimension
-
N.H. Risebro and A. Tveito, A front tracking method for conservation laws in one dimension, J. Comput. Phys. 101(1) (1992) 130-139.
-
(1992)
J. Comput. Phys.
, vol.101
, Issue.1
, pp. 130-139
-
-
Risebro, N.H.1
Tveito, A.2
-
33
-
-
38249040792
-
AZTEC: A front tracking code based on Godunov's method
-
B.K. Swartz and B. Wendroff, AZTEC: a front tracking code based on Godunov's method, Appl. Numer. Math. 2(3-5) (1986) 385-397.
-
(1986)
Appl. Numer. Math.
, vol.2
, Issue.3-5
, pp. 385-397
-
-
Swartz, B.K.1
Wendroff, B.2
-
34
-
-
0000526422
-
Existence, uniqueness, and continuous dependence for a system of hyperbolic equations modeling polymer flooding
-
A. Tveito and R. Winther, Existence, uniqueness, and continuous dependence for a system of hyperbolic equations modeling polymer flooding, SIAM J. Math. Anal. 22(4) (1991) 905-933.
-
(1991)
SIAM J. Math. Anal.
, vol.22
, Issue.4
, pp. 905-933
-
-
Tveito, A.1
Winther, R.2
-
35
-
-
27144533499
-
A note on Dafermos' polygonal approximation method
-
in Chinese
-
Y.S. Zheng, A note on Dafermos' polygonal approximation method, J. Math. Res. Exposition 4(1) (1984) 65-66 (in Chinese).
-
(1984)
J. Math. Res. Exposition
, vol.4
, Issue.1
, pp. 65-66
-
-
Zheng, Y.S.1
|