{"title":"一类隐式格式的单调化","authors":"V.I. Pinchukov","doi":"10.1016/0041-5553(90)90186-V","DOIUrl":null,"url":null,"abstract":"<div><p>An algorithm is proposed for monotonizing the correction of implicit schemes with high order of approximation of the space derivatives. The transport equation with one space variable is used as an example to prove that the corrected schemes are indeed monotone, provided that the time-step is restricted.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 23-28"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90186-V","citationCount":"0","resultStr":"{\"title\":\"Monotonization of a family of implicit schemes\",\"authors\":\"V.I. Pinchukov\",\"doi\":\"10.1016/0041-5553(90)90186-V\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>An algorithm is proposed for monotonizing the correction of implicit schemes with high order of approximation of the space derivatives. The transport equation with one space variable is used as an example to prove that the corrected schemes are indeed monotone, provided that the time-step is restricted.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 3\",\"pages\":\"Pages 23-28\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90186-V\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090186V\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090186V","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An algorithm is proposed for monotonizing the correction of implicit schemes with high order of approximation of the space derivatives. The transport equation with one space variable is used as an example to prove that the corrected schemes are indeed monotone, provided that the time-step is restricted.
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