-
1
-
-
0004133133
-
Hyperbolic systems of conservation laws and the mathematical theory of shock waves, Society for Industrial and Applied Mathematics
-
1 P. D. Lax, Hyperbolic systems of conservation laws and the mathematical theory of shock waves, Society for Industrial and Applied Mathematics, Philadelphia, PA., 1973. Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 11.
-
(1973)
-
-
Lax, P.D.1
-
2
-
-
2342589497
-
Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation
-
2 E. Bertolazzi and G. Manzini, Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation, Appl Numer Math 49 ( 2004), 277–289.
-
(2004)
Appl Numer Math
, vol.49
, pp. 277-289
-
-
Bertolazzi, E.1
Manzini, G.2
-
3
-
-
84966208277
-
One‐sided difference approximations for non‐linear conservation laws
-
3 B. Engquist and S. Osher, One‐sided difference approximations for non‐linear conservation laws, Math Comp 36 ( 1981), 321–351.
-
(1981)
Math Comp
, vol.36
, pp. 321-351
-
-
Engquist, B.1
Osher, S.2
-
4
-
-
0022144821
-
Convergence of generalized MUSCL schemes
-
4 S. Osher, Convergence of generalized MUSCL schemes, SIAM J Numer Anal 22 ( 1985), 947–961.
-
(1985)
SIAM J Numer Anal
, vol.22
, pp. 947-961
-
-
Osher, S.1
-
5
-
-
33749725182
-
Uniformly high‐order accurate essentially non‐oscillatory schemes. III
-
5 A. Harten, B. Engquist, S. Osher, and S. R. Chakravarthy, 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
Chakravarthy, S.R.4
-
6
-
-
46149130784
-
An overview of uniformly high‐order essentially non‐oscillatory schemes
-
6 A. Harten, S. Osher, B. Engquist, and S. R. Chakravarthy, An overview of uniformly high‐order essentially non‐oscillatory schemes, J Appl Numer Math 2 ( 1986), 347.
-
(1986)
J Appl Numer Math
, vol.2
, pp. 347
-
-
Harten, A.1
Osher, S.2
Engquist, B.3
Chakravarthy, S.R.4
-
7
-
-
0030161771
-
Efficient implementation of weighted ENO schemes
-
7 G.‐S. Jiang and 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.‐S.1
Shu, C.‐W.2
-
8
-
-
0000592595
-
Weighted essentially non‐oscillatory schemes
-
8 X. Liu, S. Osher, and 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
-
9
-
-
0035075926
-
Compact central WENO schemes for multidimensional conservation laws
-
9 D. Levy, G. Puppo, and G. Russo, Compact central WENO schemes for multidimensional conservation laws, SIAM J Sci Comput 22 ( 2000), 656–672.
-
(2000)
SIAM J Sci Comput
, vol.22
, pp. 656-672
-
-
Levy, D.1
Puppo, G.2
Russo, G.3
-
10
-
-
0034190356
-
A third order central WENO scheme for 2D conservation laws
-
10 D. Levy, G. Puppo, and G. Russo, A third order central WENO scheme for 2D conservation laws, App Numer Math 33 ( 2000), 415–421.
-
(2000)
App Numer Math
, vol.33
, pp. 415-421
-
-
Levy, D.1
Puppo, G.2
Russo, G.3
-
11
-
-
0345801934
-
Advanced numerical approximation of nonlinear hyperbolic equations, in:
-
11 B. Cockburn, C. Johnson, C.‐W. Shu, and E. Tadmor, Advanced numerical approximation of nonlinear hyperbolic equations, A. Quarteroni, editor, Lectures notes in mathematics, vol. 1697, Springer, Berlin, 1998.
-
(1998)
, vol.1697
-
-
Cockburn, B.1
Johnson, C.2
Shu, C.‐W.3
Tadmor, E.4
-
12
-
-
0032206542
-
Nonoscillatory central schemes for multidimensional hyperbolic conservation laws
-
12 G.‐S. Jiang and E. Tadmor, Nonoscillatory central schemes for multidimensional hyperbolic conservation laws, SIAM J Sci Comput 19 ( 1998), 1892–1917.
-
(1998)
SIAM J Sci Comput
, vol.19
, pp. 1892-1917
-
-
Jiang, G.‐S.1
Tadmor, E.2
-
13
-
-
0036288577
-
Semidiscrete central‐upwind schemes for hyperbolic conservation laws and Hamilton‐Jacobi equations
-
13 A. Kurganov, S. Noelle, and G. Petrova, Semidiscrete central‐upwind schemes for hyperbolic conservation laws and Hamilton‐Jacobi equations, SIAM J Sci Comput 23 ( 2001), 707–740.
-
(2001)
SIAM J Sci Comput
, vol.23
, pp. 707-740
-
-
Kurganov, A.1
Noelle, S.2
Petrova, G.3
-
14
-
-
33846266812
-
Upwind and high‐resolution methods for compressible flow: from donor cell to residual‐distribution schemes
-
14 B. van Leer, Upwind and high‐resolution methods for compressible flow: from donor cell to residual‐distribution schemes, Commun Comput Phys 1 ( 2006), 192–206.
-
(2006)
Commun Comput Phys
, vol.1
, pp. 192-206
-
-
van Leer, B.1
-
15
-
-
0006659242
-
Upwind compact finite‐difference schemes
-
15 I. Chrisite, Upwind compact finite‐difference schemes, J Comput Phys 59 ( 1985), 205–232.
-
(1985)
J Comput Phys
, vol.59
, pp. 205-232
-
-
Chrisite, I.1
-
16
-
-
33745783787
-
Analysis of local defect correction and high‐order compact finite differences
-
16 M. Sizov, M. Anthonissen, and R. Mattheij, Analysis of local defect correction and high‐order compact finite differences, Numer Methods Partial Differential Eq 22 ( 2006), 128–144.
-
(2006)
Numer Methods Partial Differential Eq
, vol.22
, pp. 128-144
-
-
Sizov, M.1
Anthonissen, M.2
Mattheij, R.3
-
17
-
-
45449125925
-
Efficient implementation of essentially non‐oscillatory shock‐capturing schemes
-
17 C.‐W. Shu and S. Osher, Efficient implementation of essentially non‐oscillatory shock‐capturing schemes, J Comput Phys 77 ( 1988), 439.
-
(1988)
J Comput Phys
, vol.77
, pp. 439
-
-
Shu, C.‐W.1
Osher, S.2
-
18
-
-
0001568854
-
Efficient implementation of essentially non‐oscillatory shock‐capturing schemes, II
-
18 C.‐W. Shu and 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
-
19
-
-
0031232472
-
A hybrid adaptive ENO scheme
-
19 R. B. Bauer, A hybrid adaptive ENO scheme, J Comput Phys 136 ( 1997), 180–196.
-
(1997)
J Comput Phys
, vol.136
, pp. 180-196
-
-
Bauer, R.B.1
-
20
-
-
84990727055
-
Multi‐resolution algorithms for the numerical solution of hyperbolic conservation laws
-
20 A. Harten, Multi‐resolution algorithms for the numerical solution of hyperbolic conservation laws, Commum Pure Appl Math 48 ( 1995), 1305–1342.
-
(1995)
Commum Pure Appl Math
, vol.48
, pp. 1305-1342
-
-
Harten, A.1
-
21
-
-
0002531546
-
Nonconservative hybrid shock capturing schemes
-
21 E. Harabetian and R. Pego, Nonconservative hybrid shock capturing schemes, J Comput Phys 105 ( 1993), 1–13.
-
(1993)
J Comput Phys
, vol.105
, pp. 1-13
-
-
Harabetian, E.1
Pego, R.2
-
22
-
-
0003448218
-
Adaptive ENO‐wavelet transforms for discontinuous functions
-
22 T. F. Chan and H. M. Zhou, Adaptive ENO‐wavelet transforms for discontinuous functions, T. Chan, T. Kako, H. Kawarada, and O. Pironneau, editors, 12th International Conference on domain decomposition methods, ddm.org, Chiba (Japan), 2001.
-
(2001)
-
-
Chan, T.F.1
Zhou, H.M.2
-
23
-
-
0004186233
-
Numerical schemes for conservation laws
-
23 D. Kröner, Numerical schemes for conservation laws, Wiley, Chichester, 1997.
-
(1997)
-
-
Kröner, D.1
-
24
-
-
0000564951
-
Total‐variation‐diminishing time discretizations
-
24 C.‐W. Shu, Total‐variation‐diminishing time discretizations, SIAM J Sci Statist Comput 9 ( 1988), 1073–1084.
-
(1988)
SIAM J Sci Statist Comput
, vol.9
, pp. 1073-1084
-
-
Shu, C.‐W.1
-
25
-
-
0025436444
-
Numerical experiments on the accuracy of ENO and modified ENO schemes
-
25 C.‐W. Shu, Numerical experiments on the accuracy of ENO and modified ENO schemes, J Sci Comput 5 ( 1990), 127–149.
-
(1990)
J Sci Comput
, vol.5
, pp. 127-149
-
-
Shu, C.‐W.1
-
26
-
-
0003578476
-
Generalized inverses: Theory and applications
-
26 A. Ben‐Israel and T. N. E. Greville, Generalized inverses: Theory and applications, 2nd Ed., Springer Verlag, New York, 2002.
-
(2002)
-
-
Ben‐Israel, A.1
Greville, T.N.E.2
-
27
-
-
0035273564
-
Strong stability‐preserving high‐order time discretization methods
-
27 S. Gottlieb, C.‐W. Shu, and E. Tadmor, Strong stability‐preserving high‐order time discretization methods, SIAM Rev 43 ( 2001), 89–112.
-
(2001)
SIAM Rev
, vol.43
, pp. 89-112
-
-
Gottlieb, S.1
Shu, C.‐W.2
Tadmor, E.3
-
28
-
-
0034190398
-
On the behavior of the total variation in CWENO methods for conservation laws
-
28 D. Levy, G. Puppo, and G. Russo, On the behavior of the total variation in CWENO methods for conservation laws, App Numer Math 33 ( 2000), 407–414.
-
(2000)
App Numer Math
, vol.33
, pp. 407-414
-
-
Levy, D.1
Puppo, G.2
Russo, G.3
-
29
-
-
0004245694
-
editors, Handbook of mathematical functions with formulas, graphs, and mathematical tables
-
29 M. Abramowitz and I. A. Stegun, editors, Handbook of mathematical functions with formulas, graphs, and mathematical tables, Dover Publications Inc., New York, 1992. Reprint of the 1972 edition.
-
(1992)
-
-
Abramowitz, M.1
Stegun, I.A.2
-
30
-
-
0030215536
-
A high‐resolution hybrid compact‐ENO scheme for shock‐turbulence interaction problems
-
30 N. A. Adams and K. Shariff, A high‐resolution hybrid compact‐ENO scheme for shock‐turbulence interaction problems, J Comput Phys 127 ( 1996), 27–51.
-
(1996)
J Comput Phys
, vol.127
, pp. 27-51
-
-
Adams, N.A.1
Shariff, K.2
-
31
-
-
0007352329
-
Comments on a kinematic analysis of frontogenesis associated with a nondivergent vortex
-
31 R. Davies‐Jones, Comments on a kinematic analysis of frontogenesis associated with a nondivergent vortex, J Atmos Sci 42 ( 1985), 2073–2075.
-
(1985)
J Atmos Sci
, vol.42
, pp. 2073-2075
-
-
Davies‐Jones, R.1
-
32
-
-
84889793691
-
Derivative Riemann problem and ADER schemes
-
32 A. V. Titaerev, Derivative Riemann problem and ADER schemes, PhD Thesis, University of Trento, Italy, 2005.
-
(2005)
-
-
Titaerev, A.V.1
|