{"title":"Splitting Schemes with Additive Representation of the Operator at the Time Derivative","authors":"","doi":"10.3103/s0278641924010096","DOIUrl":null,"url":null,"abstract":"<span> <h3>Abstract</h3> <p>Additive (splitting) schemes are used to contruct effective computational algorithms for approximately solving initial-boundary value problems for nonstationary partial differential equations. Splitting schemes are normally used when the main operator of a problem has an additive representation. Problems where the operator at the time derivative of a solution is split are also of interest. For first-order evolution equations, we propose splitting schemes based on transforming the original equation to an equivalent system of equations.</p> </span>","PeriodicalId":501582,"journal":{"name":"Moscow University Computational Mathematics and Cybernetics","volume":"100 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Computational Mathematics and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3103/s0278641924010096","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Additive (splitting) schemes are used to contruct effective computational algorithms for approximately solving initial-boundary value problems for nonstationary partial differential equations. Splitting schemes are normally used when the main operator of a problem has an additive representation. Problems where the operator at the time derivative of a solution is split are also of interest. For first-order evolution equations, we propose splitting schemes based on transforming the original equation to an equivalent system of equations.
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