ENO (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 of accuracy, ...
s in numerical solution of
differential equations
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...
.
History
The first ENO scheme was developed by
Harten
Harten is a surname of German or Dutch origin. Notable people with the surname include:
*Ami Harten (1946–1994), American-Israeli applied mathematician
*James Harten (1924–2001), Australian cricketer
*Jo Harten (born 1989), English netball pla ...
,
Engquist,
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 Chakravarthy in 1987. In 1994, the first
weighted version of ENO was developed.
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 of accuracy, ...
*
WENO methods
In numerical solution of differential equations, WENO (weighted essentially non-oscillatory) methods are classes of high-resolution schemes. WENO are used in the numerical solution of hyperbolic partial differential equations. These methods were d ...
*
Shock-capturing method
References
Numerical differential equations
Computational fluid dynamics
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