On the stability of an implicit spline collocation difference scheme for linear partial differential algebraic equations |
| |
Authors: | S. V. Gaidomak |
| |
Affiliation: | 1. Institute of Dynamical Systems and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia
|
| |
Abstract: | A boundary value problem for linear partial differential algebraic systems of equations with multiple characteristic curves is examined. It is assumed that the pencil of matrix functions associated with this system is smoothly equivalent to a special canonic form. The spline collocation is used to construct for this problem a difference scheme of an arbitrary approximation order with respect to each independent variable. Sufficient conditions are found for this scheme to be absolutely stable. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|