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

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

Abstract

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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中立型泛函微分代数方程组数值方法的收敛性
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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来源期刊
Applications of Mathematics
Applications of Mathematics 数学-应用数学
CiteScore
1.50
自引率
0.00%
发文量
0
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.
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