{"title":"反应扩散问题的一种稳定性方法","authors":"I. Fekete, I. Faragó","doi":"10.1109/SACI.2013.6608965","DOIUrl":null,"url":null,"abstract":"In this paper we investigate the N-stability notion in an abstract Banach space setting. The main result is that we verify the N-stability of the implicit difference method for the periodic initial-value reaction-diffusion problem.","PeriodicalId":304729,"journal":{"name":"2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A stability approach for reaction-diffusion problems\",\"authors\":\"I. Fekete, I. Faragó\",\"doi\":\"10.1109/SACI.2013.6608965\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we investigate the N-stability notion in an abstract Banach space setting. The main result is that we verify the N-stability of the implicit difference method for the periodic initial-value reaction-diffusion problem.\",\"PeriodicalId\":304729,\"journal\":{\"name\":\"2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI)\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-05-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SACI.2013.6608965\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SACI.2013.6608965","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A stability approach for reaction-diffusion problems
In this paper we investigate the N-stability notion in an abstract Banach space setting. The main result is that we verify the N-stability of the implicit difference method for the periodic initial-value reaction-diffusion problem.