CONVERGENCE OF MULTISTEP METHODS FOR VOLTERRA FUNCTIONAL-DIFFERENTIAL EQUATIONS

被引：17
作者：
JACKIEWICZ, Z
机构：
[1] Institute of Mathematics, Gdańsk University, Gdańsk, 80-952
来源：
NUMERISCHE MATHEMATIK | 1979年 / 32卷 / 03期
关键词：
Subject Classifications: AMS(MOS): 65Q05; CR:; 5.17;
D O I：
10.1007/BF01397004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the convergence of nonstationary quasilinear multistep methods with varying step, used for the numerical integration of Volterra functional differential equations. A Perron type condition (appearing in the differential equations theory) is imposed on the increment function. This gives a generalization of some results of Tavernini ([19-21]). © 1979 Springer-Verlag.
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页码：307 / 332
页数：26
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