-
1
-
-
0030521036
-
Numerical discretization of first order Hamilton-Jacobi equations on triangular meshes
-
R. Abgrall, Numerical discretization of first order Hamilton-Jacobi equations on triangular meshes, Commun. Pure Appl. Math. 49 (1996) 1339-1373.
-
(1996)
Commun. Pure Appl. Math.
, vol.49
, pp. 1339-1373
-
-
Abgrall, R.1
-
2
-
-
0034197010
-
High order numerical discretization for Hamilton-Jacobi equations on triangular meshes
-
S. Augoula, R. Abgrall, High order numerical discretization for Hamilton-Jacobi equations on triangular meshes, J. Sci. Comp. 15 (2000) 197-229.
-
(2000)
J. Sci. Comp.
, vol.15
, pp. 197-229
-
-
Augoula, S.1
Abgrall, R.2
-
3
-
-
0037689751
-
Adaptive mesh redistribution method based on Godunov's scheme
-
B.N. Azarenok, S.A. Ivanenko, T. Tang, Adaptive mesh redistribution method based on Godunov's scheme, Commun. Math. Sci. 1 (2003) 152 179.
-
(2003)
Commun. Math. Sci.
, vol.1
, pp. 152-179
-
-
Azarenok, B.N.1
Ivanenko, S.A.2
Tang, T.3
-
4
-
-
0002437983
-
Numerical schemes for the Hamilton-Jacobi and Level set equations on triangulated domains
-
T.J. Barth, J.A. Sethian, Numerical schemes for the Hamilton-Jacobi and Level set equations on triangulated domains, J. Comput. Phys. 145 (1998) 1-40.
-
(1998)
J. Comput. Phys.
, vol.145
, pp. 1-40
-
-
Barth, T.J.1
Sethian, J.A.2
-
5
-
-
49049134162
-
Adaptive zoning for singular problems in two dimensions
-
J.U. Brackbill, J.S. Saltzman, Adaptive zoning for singular problems in two dimensions, J. Comput. Phys. 46 (1982) 342-368.
-
(1982)
J. Comput. Phys.
, vol.46
, pp. 342-368
-
-
Brackbill, J.U.1
Saltzman, J.S.2
-
6
-
-
84967758647
-
Viscosity solutions of Hamilton-Jacobi equations
-
M.G. Crandall, P.L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Am. Math. Soc. 277 (1983) 1-42.
-
(1983)
Trans. Am. Math. Soc.
, vol.277
, pp. 1-42
-
-
Crandall, M.G.1
Lions, P.L.2
-
7
-
-
0000076512
-
Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
-
B. Cockburn, C.-W. Shu, Runge-Kutta discontinuous Galerkin methods for convection-dominated problems, J. Sci. Comp. 16 (2001) 173-261.
-
(2001)
J. Sci. Comp.
, vol.16
, pp. 173-261
-
-
Cockburn, B.1
Shu, C.-W.2
-
8
-
-
84967708673
-
User's guide to viscosity solutions of second order partial differential equations
-
M.G. Crandall, H. Ishi, P.L. Lions, User's guide to viscosity solutions of second order partial differential equations, Bull. Am. Math. Soc. 27 (1992) 1-67.
-
(1992)
Bull. Am. Math. Soc.
, vol.27
, pp. 1-67
-
-
Crandall, M.G.1
Ishi, H.2
Lions, P.L.3
-
9
-
-
84966245867
-
Two approximations of solutions of Hamilton-Jacobi equations
-
M.G. Crandall, P.L. Lions, Two approximations of solutions of Hamilton-Jacobi equations, Math. Comput. 43 (1984) 1-19.
-
(1984)
Math. Comput.
, vol.43
, pp. 1-19
-
-
Crandall, M.G.1
Lions, P.L.2
-
11
-
-
84972528479
-
The heat equation shrinks embedded plane curves to round points
-
M. Grayson, The heat equation shrinks embedded plane curves to round points, J. Diff. Geom. 26 (1987) 285-314.
-
(1987)
J. Diff. Geom.
, vol.26
, pp. 285-314
-
-
Grayson, M.1
-
12
-
-
0033296133
-
A discontinuous Galerkin finite element method for Hamilton-Jacobi equations
-
C.Q. Hu, C.W. Shu, A discontinuous Galerkin finite element method for Hamilton-Jacobi equations, SIAM J. Sci. Comput. 21 (2000) 666-690.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 666-690
-
-
Hu, C.Q.1
Shu, C.W.2
-
13
-
-
0034503787
-
Weighted ENO schemes for Hamilton-Jacobi equations
-
G.S. Jiang, D.P. Peng, Weighted ENO schemes for Hamilton-Jacobi equations, SIAM J. Sci. Comput. 21 (2000) 2126-2143.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 2126-2143
-
-
Jiang, G.S.1
Peng, D.P.2
-
14
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
G. Jiang, C.-W. Shu, Efficient implementation of weighted ENO schemes, J. Comput. Phys. 126 (1996) 202-228.
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 202-228
-
-
Jiang, G.1
Shu, C.-W.2
-
15
-
-
0035322540
-
On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms
-
E.R. Jakobsen, K.H. Karlsen, N.H. Risebro, On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms, SIAM J. Numer. Anal. 39 (2001) 499-518.
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 499-518
-
-
Jakobsen, E.R.1
Karlsen, K.H.2
Risebro, N.H.3
-
16
-
-
0000997075
-
Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and relaxing schemes
-
S. Jin, Z.P. Xin, Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and relaxing schemes, SIAM J. Numer. Anal. 35 (1998) 2385-2404.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2385-2404
-
-
Jin, S.1
Xin, Z.P.2
-
17
-
-
0347987814
-
New high-resolution central schemes for nonlinear conservation laws and convective-diffusion equations
-
A. Kurganov, E. Tadmor, New high-resolution central schemes for nonlinear conservation laws and convective-diffusion equations, J. Comput. Phys. 160 (2000) 214-282.
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 214-282
-
-
Kurganov, A.1
Tadmor, E.2
-
18
-
-
0000356257
-
New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations
-
A. Kurganov, E. Tadmor, New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations, J. Comput. Phys. 160 (2000) 720-742.
-
(2000)
J. Comput. Phys.
, vol.160
, pp. 720-742
-
-
Kurganov, A.1
Tadmor, E.2
-
19
-
-
0001161125
-
Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
-
N.N. Kuznetsov, Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation, USSR Comput. Math. Math. Phys. 16 (1976) 105-119.
-
(1976)
USSR Comput. Math. Math. Phys.
, vol.16
, pp. 105-119
-
-
Kuznetsov, N.N.1
-
20
-
-
0000314925
-
High-resolution conservative algorithms for advection in incompressible flow
-
R.J. LeVeque, High-resolution conservative algorithms for advection in incompressible flow, SIAM J. Numer. Anal. 33 (1996) 627-665.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 627-665
-
-
LeVeque, R.J.1
-
21
-
-
0000592595
-
Weighted essentially nonoscillatory schemes
-
X.-D. Liu, S. Osher, T. Chan, Weighted essentially nonoscillatory schemes, J. Comput. Phys. 115 (1994) 200-212.
-
(1994)
J. Comput. Phys.
, vol.115
, pp. 200-212
-
-
Liu, X.-D.1
Osher, S.2
Chan, T.3
-
22
-
-
0000501759
-
Moving mesh methods in multiple dimensions based on harmonic maps
-
R. Li, T. Tang, P.W. Zhang, Moving mesh methods in multiple dimensions based on harmonic maps, J. Comput. Phys. 170 (2001) 562-588.
-
(2001)
J. Comput. Phys.
, vol.170
, pp. 562-588
-
-
Li, R.1
Tang, T.2
Zhang, P.W.3
-
23
-
-
0037052068
-
A moving mesh finite element algorithm for singular problems in two and three space dimensions
-
R. Li, T. Tang, P.-W. Zhang, A moving mesh finite element algorithm for singular problems in two and three space dimensions, J. Comput. Phys. 177 (2002) 365-393.
-
(2002)
J. Comput. Phys.
, vol.177
, pp. 365-393
-
-
Li, R.1
Tang, T.2
Zhang, P.-W.3
-
24
-
-
0034505281
-
High-resolution non-oscillatory central schemes for Hamilton-Jacobi equations
-
C.T. Lin, E. Tadmor, High-resolution non-oscillatory central schemes for Hamilton-Jacobi equations, SIAM J. Sci. Comput. 21 (2000) 2163-2186.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 2163-2186
-
-
Lin, C.T.1
Tadmor, E.2
-
25
-
-
0035580662
-
1-stability and error estimates for approximate Hamilton-Jacobi solutions
-
1-stability and error estimates for approximate Hamilton-Jacobi solutions, Numer. Math. 87 (2001) 701-735.
-
(2001)
Numer. Math.
, vol.87
, pp. 701-735
-
-
Lin, C.T.1
Tadmor, E.2
-
26
-
-
44749084234
-
Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
-
S. Osher, J. Sethian, Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys. 79 (1988) 12-49.
-
(1988)
J. Comput. Phys.
, vol.79
, pp. 12-49
-
-
Osher, S.1
Sethian, J.2
-
27
-
-
0026204106
-
High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations
-
S. Osher, C.W. Shu, High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations, SIAM J. Numer. Anal. 28 (1991) 907-922.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 907-922
-
-
Osher, S.1
Shu, C.W.2
-
28
-
-
0032325185
-
Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure
-
B. Perthame, Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure, J. Math. Pure Appl. 77 (1998) 1055-1064.
-
(1998)
J. Math. Pure Appl.
, vol.77
, pp. 1055-1064
-
-
Perthame, B.1
-
29
-
-
0003661003
-
-
Cambridge University Press, New York
-
J. Sethian, Level Set Methods, Cambridge University Press, New York, 1996.
-
(1996)
Level Set Methods
-
-
Sethian, J.1
-
30
-
-
0034774698
-
A moving mesh method for one-dimensional hyperbolic conservation laws
-
J.M. Stockie, J.A. Mackenzie, R.D. Russell, A moving mesh method for one-dimensional hyperbolic conservation laws, SIAM J. Sci. Comput. 22 (2001) 1791-1813.
-
(2001)
SIAM J. Sci. Comput.
, vol.22
, pp. 1791-1813
-
-
Stockie, J.M.1
Mackenzie, J.A.2
Russell, R.D.3
-
31
-
-
0001568854
-
Efficient implement of essentially non-oscillatory shock-wave schemes, II
-
C.-W. Shu, S. Osher, Efficient implement of essentially non-oscillatory shock-wave schemes, II, J. Comput. Phys. 83 (1989) 32-78.
-
(1989)
J. Comput. Phys.
, vol.83
, pp. 32-78
-
-
Shu, C.-W.1
Osher, S.2
-
32
-
-
0001176128
-
Pointwise error estimates for scalar conservation laws with piecewise smooth solutions
-
E. Tadmor, T. Tang, Pointwise error estimates for scalar conservation laws with piecewise smooth solutions, SIAM J. Numer. Anal. 36 (1999) 1739-1758.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 1739-1758
-
-
Tadmor, E.1
Tang, T.2
-
33
-
-
0038704068
-
Moving mesh methods for one- and two-dimensional hyperbolic conservation laws
-
H.Z. Tang, T. Tang, Moving mesh methods for one- and two-dimensional hyperbolic conservation laws, SIAM J. Numer. Anal. 41 (2003) 487-515.
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 487-515
-
-
Tang, H.Z.1
Tang, T.2
-
34
-
-
84968519569
-
1-error estimate for monotone difference schemes
-
1-error estimate for monotone difference schemes, Math. Comp. (1995) 581-589.
-
(1995)
Math. Comp.
, pp. 581-589
-
-
Tang, T.1
Teng, Z.H.2
-
35
-
-
2442433925
-
Towards the ultimate conservative difference scheme V: A second-order sequel to Godunov's method
-
B. van Leer, Towards the ultimate conservative difference scheme V: a second-order sequel to Godunov's method, J. Comput. Phys. 32 (1979) 101-136.
-
(1979)
J. Comput. Phys.
, vol.32
, pp. 101-136
-
-
van Leer, B.1
-
36
-
-
49949139816
-
Numerical solution of the quasi-linear Poisson equation
-
A. Winslow, Numerical solution of the quasi-linear Poisson equation, J. Comput. Phys. 1 (1967) 149-172.
-
(1967)
J. Comput. Phys.
, vol.1
, pp. 149-172
-
-
Winslow, A.1
-
37
-
-
0038070190
-
High order WENO schemes for Hamilton-Jacobi equations on triangular meshes
-
Y.-T. Zhang, C.-W. Shu, High order WENO schemes for Hamilton-Jacobi equations on triangular meshes, SIAM J. Sci. Comp. 24 (2003) 1005-1030.
-
(2003)
SIAM J. Sci. Comp.
, vol.24
, pp. 1005-1030
-
-
Zhang, Y.-T.1
Shu, C.-W.2
|