Galpern-Sobolev type equations with non-constant coefficients

被引：0

作者：

Gürlebeck, K ^{[1
]}

Sprössig, W ^{[1
]}

机构：

[1] Bauhaus Univ Weimar, D-99423 Weimar, Germany

来源：

ADVANCES IN ANALYSIS AND GEOMETRY: NEW DEVELOPMENTS USING CLIFFORD ALGEBRAS | 2004年

关键词：

Galpern-Sobolev equations; representation formulas; operator calculus; finite difference schemes;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Galpern-Sobolev equations by the help of a quaternionic operator calculus. Some previous work will be extended to the case of variable coefficients. Rothe's time discretization method is used to reduce the problem to a series of stationary problems. Solving the resulting stationary problems by means of quaternionic analysis we obtain integral representation formulas for the solution of the Galpern-Sobolev equation. The truncation error and the stability of the method is studied, too.

引用

页码：301 / 310

页数：10

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