Weighted essentially non-oscillatory schemes

DOI10.1006/jcph.1994.1187zbMath0811.65076OpenAlexW2045849310WikidataQ59700175 ScholiaQ59700175MaRDI QIDQ1339533

Tony F. Chan, Xu-Dong Liu, Stanley J. Osher

Publication date: 7 December 1994

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/094349ddf32cb0aa694166fbda19ceb23cc90310

zbMATH Keywords

essentially non-oscillatory schemestotal variation diminishing Runge- Kutta time discretization

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

• The numerical simulation of two-dimensional fluid flow with strong shocks
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
• Weighted essentially non-oscillatory schemes
• On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: Polynomial recovery, accuracy and stencil selection
• Efficient implementation of weighted ENO schemes
• A new method for generating inner points of triangulations in two dimensions
• On the comparison of four different implementations of a third-order ENO scheme of box type for the computation of compressible flow
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws