Weighted essentially non-oscillatory schemes
type: Item
instance of: scholarly article
title: Weighted essentially non-oscillatory schemes
zbMATH Open document ID: 0811.65076
author: Xu-Dong Liu
author: Tony F. Chan
author: Stanley Osher
published in: Journal of Computational Physics
publication date: 1994-12-07T00:00:00Z
review text: The weighted essentially non-oscillatory (ENO) schemes are based on cell averages and a total variation diminishing Runge-Kutta time discretization. The main idea is instead of choosing the ``smoothest'' stencil to pick one interpolating polynomial for the ENO reconstruction. To this end the authors use a convex combination of all candidates to achieve the essentially non-oscillatory property, while additionally obtaining one order of improvement in accuracy.
reviewed by: K.Zlateva
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 699520
zbMATH Keywords: essentially non-oscillatory schemes
zbMATH Keywords: total variation diminishing Runge- Kutta time discretization
MaRDI profile type: Publication
OpenAlex ID: W2045849310
cites work: On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
cites work: A new method for generating inner points of triangulations in two dimensions
cites work: On the comparison of four different implementations of a third-order ENO scheme of box type for the computation of compressible flow
cites work: Efficient implementation of weighted ENO schemes
cites work: Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: Polynomial recovery, accuracy and stencil selection
cites work: The numerical simulation of two-dimensional fluid flow with strong shocks
Wikidata QID: Q59700175
DOI: 10.1006/JCPH.1994.1187
description: scientific article; zbMATH DE number 699520