{"title":"Convergence of numerical methods for systems of neutral functional-differential-algebraic equations","authors":"T. Jankowski, M. Kwapisz","doi":"10.21136/am.1995.134307","DOIUrl":null,"url":null,"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.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"19 1","pages":"457-472"},"PeriodicalIF":0.6000,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applications of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.21136/am.1995.134307","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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.
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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