-
1
-
-
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. Comput. 15 2000 198-229
-
(2000)
J. Sci. Comput.
, vol.15
, pp. 198-229
-
-
Augoula, S.1
Abgrall, R.2
-
2
-
-
0030509253
-
A MUSCL method satisfying all the numerical entropy inequalities
-
F. Bouchut C. Bourdarias B. Perthame A MUSCL method satisfying all the numerical entropy inequalities Math. Comput. 65 1996 1439-1461
-
(1996)
Math. Comput.
, vol.65
, pp. 1439-1461
-
-
Bouchut, F.1
Bourdarias, C.2
Perthame, B.3
-
3
-
-
0038792198
-
High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton-Jacobi equations
-
S. Bryson D. Levy High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton-Jacobi equations J. Comput. Phys. 189 2003 63-87
-
(2003)
J. Comput. Phys.
, vol.189
, pp. 63-87
-
-
Bryson, S.1
Levy, D.2
-
4
-
-
2942518435
-
High-order central WENO schemes for multidimensional Hamilton-Jacobi equations
-
S. Bryson D. Levy High-order central WENO schemes for multidimensional Hamilton-Jacobi equations SIAM J. Numer. Anal. 41 2003 1339-1369
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 1339-1369
-
-
Bryson, S.1
Levy, D.2
-
5
-
-
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
-
6
-
-
1942539307
-
Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
-
T. Cecil J. Qian S. Osher Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions J. Comput. Phys. 196 2004 327-347
-
(2004)
J. Comput. Phys.
, vol.196
, pp. 327-347
-
-
Cecil, T.1
Qian, J.2
Osher, S.3
-
7
-
-
84966199150
-
Nonnegativity-, monotonicity- or convexity-preserving cubic and quintic Hermite interpolation
-
R.L. Dougherty A.S. Edelman J.M. Hyman Nonnegativity-, monotonicity- or convexity-preserving cubic and quintic Hermite interpolation Math. Comput. 52 1989 471-494
-
(1989)
Math. Comput.
, vol.52
, pp. 471-494
-
-
Dougherty, R.L.1
Edelman, A.S.2
Hyman, J.M.3
-
8
-
-
0001484343
-
Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids
-
O. Friedrichs Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids J. Comput. Phys. 144 1998 194-212
-
(1998)
J. Comput. Phys.
, vol.144
, pp. 194-212
-
-
Friedrichs, O.1
-
9
-
-
33749725182
-
Uniformly high order accurate essentially non-oscillatory schemes, III
-
A. Harten B. Engquist S. Osher S. Chakravathy Uniformly high order accurate essentially non-oscillatory schemes, III J. Comput. Phys. 71 1987 231-303
-
(1987)
J. Comput. Phys.
, vol.71
, pp. 231-303
-
-
Harten, A.1
Engquist, B.2
Osher, S.3
Chakravathy, S.4
-
10
-
-
0033296133
-
A discontinuous Galerkin finite element method for Hamilton-Jacobi equations
-
C. Hu C.-W. Shu A discontinuous Galerkin finite element method for Hamilton-Jacobi equations SIAM J. Sci. Comput. 21 1999 666-690
-
(1999)
SIAM J. Sci. Comput.
, vol.21
, pp. 666-690
-
-
Hu, C.1
Shu, C.-W.2
-
11
-
-
0000997075
-
Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and relaxation schemes
-
S. Jin Z. Xin Numerical passage from systems of conservation laws to Hamilton-Jacobi equations, and relaxation schemes SIAM J. Numer. Anal. 35 1998 2163-2186
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2163-2186
-
-
Jin, S.1
Xin, Z.2
-
12
-
-
0034503787
-
Weighted ENO schemes for Hamilton-Jacobi equations
-
G. Jiang D. 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.1
Peng, D.2
-
13
-
-
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
-
14
-
-
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
-
15
-
-
0030077235
-
High order two dimensional nonoscillatory methods for solving Hamilton-Jacobi scalar equations
-
F. Lafon S. Osher High order two dimensional nonoscillatory methods for solving Hamilton-Jacobi scalar equations J. Comput. Phys. 123 1996 235-253
-
(1996)
J. Comput. Phys.
, vol.123
, pp. 235-253
-
-
Lafon, F.1
Osher, S.2
-
16
-
-
0034190306
-
Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations
-
O. Lepsky C. Hu C.-W. Shu Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations Appl. Numer. Math. 33 2000 423-434
-
(2000)
Appl. Numer. Math.
, vol.33
, pp. 423-434
-
-
Lepsky, O.1
Hu, C.2
Shu, C.-W.3
-
17
-
-
0033468934
-
Central WENO schemes for hyperbolic systems of conservation laws
-
D. Levy G. Puppo G. Russo Central WENO schemes for hyperbolic systems of conservation laws Math. Model. Numer. Anal. 33 1999 547-571
-
(1999)
Math. Model. Numer. Anal.
, vol.33
, pp. 547-571
-
-
Levy, D.1
Puppo, G.2
Russo, G.3
-
18
-
-
0000592595
-
Weighted essentially non-oscillatory schemes
-
X. Liu S. Osher T. Chan Weighted essentially non-oscillatory schemes J. Comput. Phys. 115 1994 200-212
-
(1994)
J. Comput. Phys.
, vol.115
, pp. 200-212
-
-
Liu, X.1
Osher, S.2
Chan, T.3
-
19
-
-
0035923853
-
Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique
-
T. Nakamura R. Tanaka T. Yabe K. Takizawa Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique J. Comput. Phys. 174 2001 171-207
-
(2001)
J. Comput. Phys.
, vol.174
, pp. 171-207
-
-
Nakamura, T.1
Tanaka, R.2
Yabe, T.3
Takizawa, K.4
-
20
-
-
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
-
21
-
-
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
-
22
-
-
0037146401
-
On the construction, comparison, local characteristic decomposition for high order central WENO schemes
-
J. Qiu C.-W. Shu On the construction, comparison, local characteristic decomposition for high order central WENO schemes J. Comput. Phys. 183 2002 187-209
-
(2002)
J. Comput. Phys.
, vol.183
, pp. 187-209
-
-
Qiu, J.1
Shu, C.-W.2
-
23
-
-
0344981340
-
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One dimensional case
-
J. Qiu C.-W. Shu Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One dimensional case J. Comput. Phys. 193 2003 115-135
-
(2003)
J. Comput. Phys.
, vol.193
, pp. 115-135
-
-
Qiu, J.1
Shu, C.-W.2
-
24
-
-
85190127819
-
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method II: Two dimensional case
-
in press
-
J. Qiu, C.-W. Shu, Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method II: Two dimensional case, Comp. Fluid (in press)
-
Comp. Fluid
-
-
Qiu, J.1
Shu, C.-W.2
-
25
-
-
0000034725
-
Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws
-
B. Cockburn, C. Johnson, C.-W. Shu, E. Tadmor (Eds.), Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, A. Quarteroni (Ed.) Springer, Berlin
-
C.-W. Shu, Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws, in: B. Cockburn, C. Johnson, C.-W. Shu, E. Tadmor (Eds.), Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, A. Quarteroni (Ed.), Lecture Notes in Mathematics, vol. 1697, Springer, Berlin, 1998, pp. 325-432
-
(1998)
Lecture Notes in Mathematics
, vol.1697
, pp. 325-432
-
-
Shu, C.-W.1
-
26
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock-capturing schemes
-
C.-W. Shu S. Osher Efficient implementation of essentially non-oscillatory shock-capturing schemes J. Comput. Phys. 77 1988 439-471
-
(1988)
J. Comput. Phys.
, vol.77
, pp. 439-471
-
-
Shu, C.-W.1
Osher, S.2
-
27
-
-
0001568854
-
Efficient implementation of essentially non-oscillatory shock capturing schemes II
-
C.-W. Shu S. Osher Efficient implementation of essentially non-oscillatory shock capturing 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
-
28
-
-
0001731790
-
Cubic interpolated pseudoparticle method (CIP) for solving hyperbolic type equations
-
H. Takewaki A. Nishiguchi T. Yabe Cubic interpolated pseudoparticle method (CIP) for solving hyperbolic type equations J. Comput. Phys. 61 1985 261-268
-
(1985)
J. Comput. Phys.
, vol.61
, pp. 261-268
-
-
Takewaki, H.1
Nishiguchi, A.2
Yabe, T.3
-
29
-
-
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. Comput. 24 2003 1005-1030
-
(2003)
SIAM J. Sci. Comput.
, vol.24
, pp. 1005-1030
-
-
Zhang, Y.-T.1
Shu, C.-W.2
|