{"title":"朝向理解动力系统数值模拟的理论挑战","authors":"M. Yampolsky","doi":"10.53733/129","DOIUrl":null,"url":null,"abstract":"Asking and answering the right questions about computability and computational complexity of dynamical systems is more important than many may realize. In this note, I discuss the principal challenges, their implications, and some instructive open problems. \n \n ","PeriodicalId":30137,"journal":{"name":"New Zealand Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Towards understanding the theoretical challenges of numerical modeling of dynamical systems\",\"authors\":\"M. Yampolsky\",\"doi\":\"10.53733/129\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Asking and answering the right questions about computability and computational complexity of dynamical systems is more important than many may realize. In this note, I discuss the principal challenges, their implications, and some instructive open problems. \\n \\n \",\"PeriodicalId\":30137,\"journal\":{\"name\":\"New Zealand Journal of Mathematics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-09-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"New Zealand Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.53733/129\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"New Zealand Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53733/129","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Towards understanding the theoretical challenges of numerical modeling of dynamical systems
Asking and answering the right questions about computability and computational complexity of dynamical systems is more important than many may realize. In this note, I discuss the principal challenges, their implications, and some instructive open problems.
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