Compact difference schemes of high-order accuracy

被引：0

作者：

Kutniv M.V. ^{[1
]}

Makarov V.L. ^{[2
]}

机构：

[1] Lviv Polytehnic National University, Department of Applied Mathematics, ul. Bandery 12, Lvov

[2] Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv

来源：

Journal of Mathematical Sciences | 2012年 / 183卷 / 1期

关键词：

Difference Scheme; Nonlinear Ordinary Differential Equation; Nonuniform Grid; Piecewise Continuous Function; Compact Difference Scheme;

D O I：

10.1007/s10958-012-0795-2

中图分类号：

学科分类号：

摘要：

We survey the main results on the construction and study of exact and truncated compact difference schemes of high-order accuracy for a numerical solution of boundary-value problems for ordinary differential equations and the development of new efficient algorithms for the numerical solution of boundary-value problems with given accuracy and automatic selection of the grid points on their basis. © 2012 Springer Science+Business Media, Inc.

引用

页码：29 / 42

页数：13

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