In numerical solution of differential equations, WENO (weighted essentially non-oscillatory) methods are classes of
high-resolution scheme
High-resolution schemes are used in the numerical solution of partial differential equations where high accuracy is required in the presence of shocks or discontinuities. They have the following properties:
*Second- or higher-order
Order, ORDER ...
s. WENO are used in the numerical solution of hyperbolic partial differential equations. These methods were developed from
ENO methods (essentially non-oscillatory). The first WENO scheme was developed by Liu,
Osher and Chan in 1994. In 1996, Guang-Shan Jiang and
Chi-Wang Shu developed a new WENO scheme called WENO-JS. Nowadays, there are many WENO methods.
See also
*
High-resolution scheme
High-resolution schemes are used in the numerical solution of partial differential equations where high accuracy is required in the presence of shocks or discontinuities. They have the following properties:
*Second- or higher-order
Order, ORDER ...
*
ENO methods
References
Further reading
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{{Numerical PDE
Numerical differential equations
Computational fluid dynamics