-
1
-
-
17744376740
-
Godunov-type methods for conservation laws with a flux function discontinuous in space
-
J. JAFPRÉ ADIMURTHI AND G. D. V. GOWDA, Godunov-type methods for conservation laws with a flux function discontinuous in space, SIAM J. Numer. Anal., 42 (2004), pp. 179-208.
-
(2004)
SIAM J. Numer. Anal
, vol.42
, pp. 179-208
-
-
JAFPRÉ ADIMURTHI, J.1
GOWDA, G.D.V.2
-
2
-
-
7544243351
-
Transport equation and Cauchy problem for B V vector fields
-
L. AMBROSIO, Transport equation and Cauchy problem for B V vector fields, Invent. Math., 158 (2004), pp. 227-260.
-
(2004)
Invent. Math
, vol.158
, pp. 227-260
-
-
AMBROSIO, L.1
-
3
-
-
0032092187
-
One-dimensional transport equations with discontinuous coefficients
-
F. BOUCHUT AND F. JAMES, One-dimensional transport equations with discontinuous coefficients, Nonlinear Anal., 32 (1998), pp. 891-933.
-
(1998)
Nonlinear Anal
, vol.32
, pp. 891-933
-
-
BOUCHUT, F.1
JAMES, F.2
-
4
-
-
22544486873
-
Conservation laws with time dependent discontinuous coefficients
-
G. M. COCLITE AND N. H. RISEBRO, Conservation laws with time dependent discontinuous coefficients, SIAM J. Math. Anal., 36 (2005), pp. 1293-1309.
-
(2005)
SIAM J. Math. Anal
, vol.36
, pp. 1293-1309
-
-
COCLITE, G.M.1
RISEBRO, N.H.2
-
5
-
-
0002306354
-
Ordinary differential equations, transport theory, and Sobolev spaces
-
R. J. DIPERNA AND P.-L. LIONS, Ordinary differential equations, transport theory, and Sobolev spaces, Invent. Math., 98 (1989), pp. 511-547.
-
(1989)
Invent. Math
, vol.98
, pp. 511-547
-
-
DIPERNA, R.J.1
LIONS, P.-L.2
-
6
-
-
21144479253
-
Conservation laws with discontinuous flux functions
-
T. GIMSE, Conservation laws with discontinuous flux functions, SIAM J. Math. Anal., 24 (1993), pp. 279-289.
-
(1993)
SIAM J. Math. Anal
, vol.24
, pp. 279-289
-
-
GIMSE, T.1
-
7
-
-
0034401759
-
Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients
-
L. GOSSE AND F. JAMES, Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients, Math. Comp., 69 (2000), pp. 987-1015.
-
(2000)
Math. Comp
, vol.69
, pp. 987-1015
-
-
GOSSE, L.1
JAMES, F.2
-
8
-
-
0039658608
-
Homogenization limits and Wigner transforms
-
P. GÉRARD, P. A. MARKOWICH, N. J. MAUSER, AND F. POUPAUD, Homogenization limits and Wigner transforms, Comm. Pure Appl. Math., 50 (1997), pp. 321-377.
-
(1997)
Comm. Pure Appl. Math
, vol.50
, pp. 321-377
-
-
GÉRARD, P.1
MARKOWICH, P.A.2
MAUSER, N.J.3
POUPAUD, F.4
-
9
-
-
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 (1992), pp. 635-648.
-
(1992)
SIAM J. Math. Anal
, vol.23
, pp. 635-648
-
-
GIMSE, T.1
RISEBRO, N.H.2
-
10
-
-
16844373042
-
Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation
-
S. JIM, H. L. LIU, S. USHER, AND R. TSAI, Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation, J. Comput. Phys., 205 (2005), pp. 222-241.
-
(2005)
J. Comput. Phys
, vol.205
, pp. 222-241
-
-
JIM, S.1
LIU, H.L.2
USHER, S.3
TSAI, R.4
-
11
-
-
33644957151
-
The Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials
-
S. JIN AND X. WEN, The Hamiltonian-preserving schemes for the Liouville equation with discontinuous potentials, Commun. Math. Sci., 3 (2005), pp. 285-315.
-
(2005)
Commun. Math. Sci
, vol.3
, pp. 285-315
-
-
JIN, S.1
WEN, X.2
-
12
-
-
34548672178
-
A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections
-
S. JIN AND X. WEN, A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections, SIAM J. Numer. Anal., 44 (2006), pp. 1801-1828.
-
(2006)
SIAM J. Numer. Anal
, vol.44
, pp. 1801-1828
-
-
JIN, S.1
WEN, X.2
-
13
-
-
2942692254
-
A relaxation scheme for conservation laws with a discontinuous coefficient
-
K. H. KARLSEN, C. KLINGENBERG, AND N. H. RISEBRO, A relaxation scheme for conservation laws with a discontinuous coefficient, Math. Comp., 73 (2004), pp. 1235-1259.
-
(2004)
Math. Comp
, vol.73
, pp. 1235-1259
-
-
KARLSEN, K.H.1
KLINGENBERG, C.2
RISEBRO, N.H.3
-
14
-
-
0000055941
-
Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior
-
C. KLINGENBERG AND N. H. RISEHRO, Convex conservation laws with discontinuous coefficients. Existence, uniqueness and asymptotic behavior, Comm. Partial Differential Equations, 20 (1995), pp. 1959-1990.
-
(1995)
Comm. Partial Differential Equations
, vol.20
, pp. 1959-1990
-
-
KLINGENBERG, C.1
RISEHRO, N.H.2
-
15
-
-
0035285314
-
Stability of a resonant system of conservation laws modeling polymer flow with gravitation
-
C. KLINGENBERG AND N. H. RISEBRO, Stability of a resonant system of conservation laws modeling polymer flow with gravitation, J. Differential Equations, 170 (2001), pp. 344-380.
-
(2001)
J. Differential Equations
, vol.170
, pp. 344-380
-
-
KLINGENBERG, C.1
RISEBRO, N.H.2
-
16
-
-
0036034556
-
-
Anal
-
K. H. KARLSEN, N. H. RISEBRO, AND J. D. TOWERS, Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient, IMA J. Nurner. Anal, 22 (2002), pp. 623-664.
-
(2002)
Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient, IMA J. Nurner
, vol.22
, pp. 623-664
-
-
KARLSEN, K.H.1
RISEBRO, N.H.2
TOWERS, J.D.3
-
17
-
-
4444361444
-
Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux
-
K. H. KARLSEN AND J. D. TOWERS, Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux, Chinese Ann. Math. Ser. B, 25 (2004), pp. 287-318.
-
(2004)
Chinese Ann. Math. Ser. B
, vol.25
, pp. 287-318
-
-
KARLSEN, K.H.1
TOWERS, J.D.2
-
19
-
-
0001279338
-
A comparison of convergence rates for Godunov's method and Glimm's method in resonant nonlinear systems of conservation laws
-
L. LIN, J. B. TEMPLE, AND J. WANG, A comparison of convergence rates for Godunov's method and Glimm's method in resonant nonlinear systems of conservation laws, SIAM J. Nurner. Anal., 32 (1995), pp. 824-840.
-
(1995)
SIAM J. Nurner. Anal
, vol.32
, pp. 824-840
-
-
LIN, L.1
TEMPLE, J.B.2
WANG, J.3
-
20
-
-
33646482469
-
Convergence of upwind finite difference schemes for a scalar conservation law with indefinite discontinuities in the flux function
-
S. MISHRA, Convergence of upwind finite difference schemes for a scalar conservation law with indefinite discontinuities in the flux function, SIAM J. Numer. Anal., 43 (2005), pp. 559-577.
-
(2005)
SIAM J. Numer. Anal
, vol.43
, pp. 559-577
-
-
MISHRA, S.1
-
21
-
-
0033328873
-
Viscosity solutions and convergence of monotone schemes for synthetic aperture radar shape-from-shading equations with discontinuous intensities
-
D. N. OSTROV, Viscosity solutions and convergence of monotone schemes for synthetic aperture radar shape-from-shading equations with discontinuous intensities, SIAM J. Appl. Math., 59 (1999), pp. 2060-2085.
-
(1999)
SIAM J. Appl. Math
, vol.59
, pp. 2060-2085
-
-
OSTROV, D.N.1
-
22
-
-
0012588539
-
A kinetic scheme for the Saint-Venant system with a source term
-
B. PERTHAME AND C. SIMEONI, A kinetic scheme for the Saint-Venant system with a source term, Calcolo, 38 (2001), pp. 201-231.
-
(2001)
Calcolo
, vol.38
, pp. 201-231
-
-
PERTHAME, B.1
SIMEONI, C.2
-
23
-
-
0000389658
-
Measure solutions to the linear mutti-dimensional transport equation with non-smooth coefficients
-
F. POUPAUD AND M. RASCLE, Measure solutions to the linear mutti-dimensional transport equation with non-smooth coefficients, Comm. Partial Differential Equations, 22 (1997), pp. 337-358.
-
(1997)
Comm. Partial Differential Equations
, vol.22
, pp. 337-358
-
-
POUPAUD, F.1
RASCLE, M.2
-
24
-
-
84968519569
-
The sharpness of Kuznetsov's O(√Δx) L1-error estimate for monotone difference schemes
-
T. TANG AND Z. H. TENG, The sharpness of Kuznetsov's O(√Δx) L1-error estimate for monotone difference schemes, Math. Comp., 64 (1995), pp. 581-589.
-
(1995)
Math. Comp
, vol.64
, pp. 581-589
-
-
TANG, T.1
TENG, Z.H.2
-
25
-
-
49049142492
-
Global solution of the Cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws
-
B. TEMPLE, Global solution of the Cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws, Adv. in Appl. Math., 3 (1982), pp. 335-375.
-
(1982)
Adv. in Appl. Math
, vol.3
, pp. 335-375
-
-
TEMPLE, B.1
-
26
-
-
0034449655
-
Convergence of a difference scheme for conservation laws with a discontinuous flux
-
J. D. TOWERS, Convergence of a difference scheme for conservation laws with a discontinuous flux, SIAM J. Numer. Anal., 38 (2000), pp. 681-698.
-
(2000)
SIAM J. Numer. Anal
, vol.38
, pp. 681-698
-
-
TOWERS, J.D.1
-
27
-
-
0035453016
-
A difference scheme for conservation laws with a discontinuous flux: The nonconvex case
-
J. D. TOWERS, A difference scheme for conservation laws with a discontinuous flux: The nonconvex case, SIAM J. Numer. Anal., 39 (2001), pp. 1197-1218.
-
(2001)
SIAM J. Numer. Anal
, vol.39
, pp. 1197-1218
-
-
TOWERS, J.D.1
-
28
-
-
55349090941
-
Convergence of an Immersed Interface Upwind Scheme for Linear Advection Equations with Piecewise Constant Coefficients II
-
preprint
-
X. WEN, Convergence of an Immersed Interface Upwind Scheme for Linear Advection Equations with Piecewise Constant Coefficients II: Some Related Binomial Coefficient Inequalities, preprint, 2008.
-
(2008)
Some Related Binomial Coefficient Inequalities
-
-
WEN, X.1
-
29
-
-
61349152299
-
1-stability of a Hamiltonian-preserving scheme for the Liouville equation with discontinuous potentials
-
to appear
-
1-stability of a Hamiltonian-preserving scheme for the Liouville equation with discontinuous potentials, J. Comput. Math., to appear.
-
J. Comput. Math
-
-
WEN, X.1
JIN, S.2
|