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Criteria for Mesh Selection in Collocation Algorithms for Ordinary Differential Boundary Value Problems

Lookup NU author(s): Dr Kenneth Wright



This paper introduces some subdivision criteria for use in adaptive algorithms for the solution of ordinary differential equations by piecewise polynomial collocation methods. These criteria aim to take into account the influence of the behaviour in one subinterval on the error of others. These criteria are compared with various alternatives using examples which include problems with interior or boundary layers. These examples illustrate some of the difficulties which can arise. The danger of using criteria based on estimates of the global error is emphasised.

Publication metadata

Author(s): Wright K, Ahmed AHA, Seleman AH

Publication type: Report

Publication status: Published

Series Title: Computing Laboratory Technical Report Series

Year: 1989

Pages: 26

Print publication date: 01/07/1989

Source Publication Date: July 1989

Report Number: 289

Institution: Computing Laboratory, University of Newcastle upon Tyne

Place Published: Newcastle upon Tyne