Accelerated enclosure methods for ordinary free boundary problems
type: Item
instance of: scholarly article
title: Accelerated enclosure methods for ordinary free boundary problems
zbMATH Open document ID: 1042.65058
published in: Reliable Computing
publication date: 2003-09-09T00:00:00Z
review text: Free boundary problems for second order ordinary differential equations are considered. The acceleration of an enclosure method published by the author [Numer. Funct. Anal. Optimization 22, No. 7--8, 991--1011 (2001; Zbl 1022.90033)] is proposed. The improvements are based on the use of the decreasing property of the solution and take advantage of the structure of the related linear complementarity problem. Six different versions of the algorithm are compared to the results of four academic examples.
reviewed by: René Lamour
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65G40
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 1977884
zbMATH Keywords: interval analysis
zbMATH Keywords: free boundary problem
zbMATH Keywords: enclosure method
zbMATH Keywords: linear complementarity problem
zbMATH Keywords: algorithm
zbMATH Keywords: numerical examples
zbMATH Keywords: convergence acceleration
author: Uwe Schäfer
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1977884