Nonlinear data-bounded polynomial approximations and their applications in ENO methods

DOI10.1007/s11075-010-9395-8zbMath1208.65123OpenAlexW1964014366MaRDI QIDQ1960253

Martin Berzins

Publication date: 13 October 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-010-9395-8

zbMATH Keywords

numerical exampleshyperbolic equationspolynomial approximationsENO methodsdata bounded polynomialsessentially non-oscillatory methodspositivity preserving methods

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Numerical methods for functional-differential equations (65L03)

Related Items (4)

A RBF-WENO finite volume method for hyperbolic conservation laws with the monotone polynomial interpolation method ⋮ ENO-based high-order data-bounded and constrained positivity-preserving interpolation ⋮ A RBFWENO finite difference scheme for Hamilton-Jacobi equations ⋮ Improved production implicit continuous‐fluid Eulerian method for compressible flow problems in Uintah

Uses Software

• mctoolbox

Cites Work

• Unnamed Item
• Unnamed Item
• A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov
• Numerical experiments on the accuracy of ENO and modified ENO schemes
• Design principles for bounded higher-order convection schemes -- a unified approach
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• On Monotonicity of Difference Schemes for Computational Physics
• A Positivity Preserving Finite Element Method for Hyperbolic Partial Differential Equations
• Adaptive Polynomial Interpolation on Evenly Spaced Meshes

This page was built for publication: Nonlinear data-bounded polynomial approximations and their applications in ENO methods