中立型泛函微分代数方程组数值方法的收敛性

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 1995-01-01 DOI:10.21136/am.1995.134307

T. Jankowski, M. Kwapisz

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引用次数: 11

摘要

总结。研究了一类求解中立函数-微分-几何系统初始问题的一般数值方法。建立了这些方法与问题一致的充分必要条件。讨论了一致性的顺序。证明了一类一般方法的收敛性定理。

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Convergence of numerical methods for systems of neutral functional-differential-algebraic equations

Summary. A general class of numerical methods for solving initia l va l ue prob l ems for neutra l functiona l -differentia l -a l gebraic systems is considered. Necessary and sufficient con ditions under which these methods are consistent with the prob l em are estab l ished. The order of consistency is discussed. A convergence theorem for a genera l c l ass of methods is proved.

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.