ENO-based high-order data-bounded and constrained positivity-preserving interpolation
type: Item
instance of: scholarly article
title: ENO-based high-order data-bounded and constrained positivity-preserving interpolation
author: T. A. J. Ouermi
author: Robert M. Kirby
author: M. Berzins
published in: Numerical Algorithms
publication date: 2023-04-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/2204.06168
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D15
zbMATH DE Number: 7676492
zbMATH Keywords: data-bounded interpolation
zbMATH Keywords: positivity-preserving interpolation
zbMATH Keywords: Newton polynomial
zbMATH Keywords: essentially non-oscillatory methods
zbMATH Keywords: property-preserving
describes a project that uses: FastGaussQuadrature
describes a project that uses: pchip
MaRDI profile type: Publication
OpenAlex ID: W4285795742
cites work: Adaptive Polynomial Interpolation on Evenly Spaced Meshes
cites work: Nonlinear data-bounded polynomial approximations and their applications in ENO methods
cites work: Boundary-valued shape-preserving interpolating splines
cites work: Nonnegativity-, Monotonicity-, or Convexity-Preserving Cubic and Quintic Hermite Interpolation
cites work: On the Runge Example
cites work: Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws
cites work: ENO reconstruction and ENO interpolation are stable
cites work: Monotone Piecewise Cubic Interpolation
cites work: Implicit-explicit formulations of a three-dimensional nonhydrostatic unified model of the atmosphere (NUMA)
cites work: Fast and Accurate Computation of Gauss--Legendre and Gauss--Jacobi Quadrature Nodes and Weights
cites work: ENO schemes with subcell resolution
cites work: Multiresolution algorithms for the numerical solution of hyperbolic conservation laws
cites work: Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint)
cites work: Efficient Algorithms for Polynomial Interpolation and Numerical Differentiation
cites work: Weighted essentially non-oscillatory schemes
cites work: A numerical study of the convergence properties of ENO schemes
cites work: Positivity of cubic polynomials on intervals and positive spline interpolation
cites work: Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations
cites work: Numerical experiments on the accuracy of ENO and modified ENO schemes
cites work: Essentially non-oscillatory and weighted essentially non-oscillatory schemes
cites work: Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
cites work: High Degree Polynomial Interpolation in Newton Form
cites work: Positivity Conditions for Quartic Polynomials
cites work: Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation
cites work: Structure-Preserving Function Approximation via Convex Optimization
cites work: Structure-Preserving Nonlinear Filtering for Continuous and Discontinuous Galerkin Spectral/hp Element Methods
cites work: On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
cites work: Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
cites work: Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
cites work: Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes
DOI: 10.1007/S11075-022-01352-5
description: scientific article; zbMATH DE number 7676492