Third order central WENO scheme for 2D conservation laws

Applied Numerical Mathematics

Volumn 33, Issue 1, 2000, Pages 415-421

  Levy, Doron ^a   Puppo, Gabriella ^b   Russo, Giovanni ^c  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b POLITECNICO DI TORINO   (Italy)

^c UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FINITE DIFFERENCE METHOD; INTEGRATION; NONLINEAR EQUATIONS; PROBLEM SOLVING;

CENTERED WEIGHTED ESSENTIALLY NON OSCILLATORY RECONSTRUCTION; CENTRAL DIFFERENCE SCHEMES; DIRECTION BY DIRECTION APPROACH; HIGH ORDER ACCURACY; TWO DIMENSIONAL CONSERVATION LAWS;

COMPUTATIONAL METHODS;

EID: 0034190356     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00108-7     Document Type: Article

References (7)

1. G.-S. Jiang, C.-W. Shu, Efficient implementation of weighted ENO schemes, J. Comput. Phys. 126 (1996) 202-228.
2. G.-S. Jiang, E. Tadmor, Nonoscillatory central schemes for multidimensional hyperbolic conservation laws, SIAM J. Sci. Comput. 19 (1998) 1892-1917.
3. D. Levy, G. Puppo, G. Russo, Central Weno schemes for hyperbolic systems of conservation laws, Math. Modelling Numer. Anal. 33 (3) (1999) 547-571.
4. D. Levy, G. Puppo, G. Russo, Central Weno Schemes for 2D Hyperbolic Systems of Conservation Laws, in preparation.
5. X.-D. Liu, S. Osher, T. Chan, Weighted essentially non-oscillatory schemes, J. Comput. Phys. 115 (1994) 200-212.
6. E. Tadmor, Approximate solutions of nonlinear conservation laws, in: A. Quarteroni (Ed.), Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, Lecture Notes in Mathematics, Springer, Berlin, 1998.
7. M. Zennaro, Natural continuous extensions of Runge-Kutta methods, Math. Comp. 46 (1986) 119-133.