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 spatial accur ...
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 Osher may refer to:
* Osher (name)
*Osher Lifelong Learning Institutes
Osher Lifelong Learning Institutes (OLLI) offer noncredit courses with no assignments or grades to adults over age 50. Since 2001 philanthropist Bernard Osher has made grants ...
and Chan in 1994. In 1996, Guang-Sh 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 spatial accur ...
*
ENO methods
References
Further reading
*
*
{{Numerical PDE
Numerical differential equations
Computational fluid dynamics