Key References for WENO scheme

• Serna S, Marquina A: Power ENO methods: a fifth-order accurate Weighted Power ENO method, JOURNAL OF COMPUTATIONAL PHYSICS 194 (2): 632-658 MAR 1 2004.  

• Qiu JX, Shu CW: On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes, JOURNAL OF COMPUTATIONAL PHYSICS 183 (1): 187-209 NOV 20 2002.   

• Shi J, Hu CQ, Shu CW: A technique of treating negative weights in WENO schemes, JOURNAL OF COMPUTATIONAL PHYSICS 175 (1): 108-127 JAN 1 2002.  

• Levy D, Puppo G, Russo G: Central WENO schemes for hyperbolic systems of conservation laws, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 33 (3): 547-571 MAY-JUN 1999.

• Hu CQ, Shu CW: Weighted essentially non-oscillatory schemes on triangular meshes, JOURNAL OF COMPUTATIONAL PHYSICS 150 (1): 97-127 MAR 20 1999  

• Shu CW: Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws,  ICASE-1997-65.

• Jiang GS, Shu CW: Efficient implementation of weighted ENO schemes, JOURNAL OF COMPUTATIONAL PHYSICS 126 (1): 202-228 JUN 1996.

• Liu XD, Osher S, Chan T: Weighted Essentially Nonoscillatory Schemes, JOURNAL OF COMPUTATIONAL PHYSICS 115 (1): 200-212 NOV 1994.