On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
type: Item
instance of: scholarly article
title: On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
zbMATH Open document ID: 0859.65110
author: Armin Iske
author: Thomas Sonar
published in: Numerische Mathematik
publication date: 1997-03-25T00:00:00Z
review text: A general theory of optimal recovery of linear functionals in native spaces of radial basis functions is developed and applied to the recovery of Dirac functionals from call averages in the reconstruction step of finite volume essentially non-oscillatory (ENO) schemes for hyperbolic conservation laws. Those native spaces are characterized, conditions on the recovery problem to be uniquely solvable. Numerical experiments show that radial recovery is indeed superior compared with classical polynomial recovery.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 932014
zbMATH Keywords: ENO-schemes
zbMATH Keywords: finite volume essentially non-oscillatory schemes
zbMATH Keywords: numerical experiments
zbMATH Keywords: optimal recovery
zbMATH Keywords: radial basis functions
zbMATH Keywords: Dirac functionals
zbMATH Keywords: hyperbolic conservation laws
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
full work available at URL: s002110050213
OpenAlex ID: W2001058553
DOI: 10.1007/S002110050213
description: scientific article; zbMATH DE number 932014