In numerical solution of differential equations,WENO (weighted essentially non-oscillatory) methods are classes ofhigh-resolution schemes. WENO are used in the numerical solution of hyperbolic partial differential equations. These methods were developed fromENO methods (essentially non-oscillatory). The first WENO scheme was developed by Liu,Osher and Chan in 1994.^[1] In 1996, Guang-Shan Jiang andChi-Wang Shu developed a new WENO scheme^[2] called WENO-JS.^[3] Nowadays, there are many WENO methods.^[4]

• High-resolution scheme
• ENO methods

• Shu, Chi-Wang (1998). "Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws".Advanced Numerical Approximation of Nonlinear Hyperbolic Equations. Lecture Notes in Mathematics. Vol. 1697. pp. 325–432.CiteSeerX 10.1.1.127.895.doi:10.1007/BFb0096355.ISBN 978-3-540-64977-9.
• Shu, Chi-Wang (2009). "High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems".SIAM Review.51:82–126.Bibcode:2009SIAMR..51...82S.doi:10.1137/070679065.

• Numerical differential equations
• Computational fluid dynamics

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