期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1995
卷号：18
DOI：10.1155/S0161171295000123
出版社：Hindawi Publishing Corporation
摘要：This paper deals with error bounds for numerical solutions of linear ordinary
differential equations by global or piecewise polynomial collocation methods which are based on
consideration of the involved differential operator, related matrices and the residual. It is shown
that significant improvement may be obtained if direct bounds for the error in the solution are
considered. The practical implementation of the theory is illustrated by a selection of numerical
examples.
