Nonlinear data-bounded polynomial approximations and their applications in ENO methods
type: Item
instance of: scholarly article
title: Nonlinear data-bounded polynomial approximations and their applications in ENO methods
zbMATH Open document ID: 1208.65123
published in: Numerical Algorithms
publication date: 2010-10-13T00:00:00Z
review text: The author considers positivity preserving methods for hyperbolic equations. The central idea is to use essentially non oscillatory (ENO) polynomial type approximations but to enforce additional restrictions on how the polynomial order is increased. Various theoretical considerations are discussed and confirmed by numerical examples.
reviewed by: Iwan Gawriljuk
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65L03
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 5799426
zbMATH Keywords: data bounded polynomials
zbMATH Keywords: essentially non-oscillatory methods
zbMATH Keywords: polynomial approximations
zbMATH Keywords: ENO methods
zbMATH Keywords: positivity preserving methods
zbMATH Keywords: hyperbolic equations
zbMATH Keywords: numerical examples
describes a project that uses: mctoolbox
author: M. Berzins
MaRDI profile type: Publication
full work available at URL: s11075-010-9395-8
OpenAlex ID: W1964014366
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DOI: 10.1007/S11075-010-9395-8
description: scientific article; zbMATH DE number 5799426