Approximate solutions of abstract differential equations

被引：0

作者：

Emil Vitásek

机构：

[1] Institute of Mathematics of the Academy of Sciences of the Czech Republic Žitná 25,

来源：

Applications of Mathematics | 2007年 / 52卷

关键词：

abstract differential equations; semigroups of operators; rational approximations; -stability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The methods of arbitrarily high orders of accuracy for the solution of an abstract ordinary differential equation are studied. The right-hand side of the differential equation under investigation contains an unbounded operator which is an infinitesimal generator of a strongly continuous semigroup of operators. Necessary and sufficient conditions are found for a rational function to approximate the given semigroup with high accuracy.

引用

页码：171 / 183

页数：12