{"title":"解微分方程问题的渐近方法与数值方法的相互作用","authors":"R. Spigler","doi":"10.1145/2631948.2631974","DOIUrl":null,"url":null,"abstract":"Asymptotic and numerical methods usually represent two independent approaches to solve applied mathematical problems, in particular for ordinary or partial differential equations. Here we present some cases when both techniques are used simultaneously, in a complementary way, rather than being considered as an alternative to each other.","PeriodicalId":308716,"journal":{"name":"Symbolic-Numeric Computation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the interplay between asymptotic and numerical methods to solve differential equations problems\",\"authors\":\"R. Spigler\",\"doi\":\"10.1145/2631948.2631974\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Asymptotic and numerical methods usually represent two independent approaches to solve applied mathematical problems, in particular for ordinary or partial differential equations. Here we present some cases when both techniques are used simultaneously, in a complementary way, rather than being considered as an alternative to each other.\",\"PeriodicalId\":308716,\"journal\":{\"name\":\"Symbolic-Numeric Computation\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-07-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Symbolic-Numeric Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/2631948.2631974\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Symbolic-Numeric Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/2631948.2631974","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the interplay between asymptotic and numerical methods to solve differential equations problems
Asymptotic and numerical methods usually represent two independent approaches to solve applied mathematical problems, in particular for ordinary or partial differential equations. Here we present some cases when both techniques are used simultaneously, in a complementary way, rather than being considered as an alternative to each other.