Error estimates for schemes of the projection-difference method for abstract quasilinear hyperbolic equations

被引：0

作者：

Zhelezovskii, S. E. ^{[1
]}

机构：

[1] Saratov State Social Econ Univ, Saratov, Russia

来源：

MATHEMATICAL NOTES | 2006年 / 80卷 / 1-2期

关键词：

projection-difference method; three-layer scheme; quasilinear hyperbolic equations; asymptotic error estimates; energy norm; uniform norm;

D O I：

10.1007/s11006-006-0106-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the convergence of the three-layer scheme of the projection-difference method for abstract quasilinear hyperbolic equations in Hilbert space. We establish asymptotic energy error estimates for an arbitrary choice of finite-dimensional subspaces in which the approximation problems are solved.

引用

页码：36 / 46

页数：11

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