Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations
type: Item
instance of: scholarly article
title: Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations
zbMATH Open document ID: 1213.65024
author: Libin Ma
author: Zeyao Mo
author: Xiao-Wen Xu
published in: Applied Mathematics and Computation
publication date: 2011-01-14T00:00:00Z
review text: The authors construct a certain compactly supported univariate \(C^2\) cubic spline function and its tensor-product bivariate extension. The theoretical and numerical results presented show that the discrete convolution operators based on these two functions are monotonic and conservative.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 5836676
zbMATH Keywords: cubic spline
zbMATH Keywords: monotonicity-preserving property
zbMATH Keywords: quasi-interpolation operator
zbMATH Keywords: conservation-preserving property
zbMATH Keywords: SAMR simulation
zbMATH Keywords: numerical results
zbMATH Keywords: discrete convolution operators
reviewed by: Aurelian Bejancu
describes a project that uses: pchip
MaRDI profile type: Publication
full work available at URL: j.amc.2010.09.045
OpenAlex ID: W2035823320
cites work: Interpolation and approximation by monotone cubic splines
cites work: Adaptive mesh refinement for hyperbolic partial differential equations
cites work: Local adaptive mesh refinement for shock hydrodynamics
cites work: A practical guide to splines
cites work: A high order accurate conservative remapping method on staggered meshes
cites work: Q3598192
cites work: The piecewise parabolic method (PPM) for gas-dynamical simulations
cites work: Tensor-product monotonicity preservation
cites work: Q3342799
cites work: Monotone Piecewise Cubic Interpolation
cites work: Q3468070
cites work: High resolution schemes for hyperbolic conservation laws
cites work: Properties of splines in tension
cites work: Alternatives to the Exponential Spline in Tension
cites work: Shape preserving C2 cubic spline interpolation
cites work: Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations
cites work: On Shape Preserving Quadratic Spline Interpolation
cites work: An Interpolation Curve Using a Spline in Tension
cites work: On convolutions of \(B\)-splines
cites work: Q4255380
cites work: Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
cites work: An energy-minimization framework for monotonic cubic spline interpolation
cites work: The numerical simulation of two-dimensional fluid flow with strong shocks
DOI: 10.1016/J.AMC.2010.09.045
description: scientific article; zbMATH DE number 5836676