{"title":"A new stable computing method for the serial hybrid computer integration of partial differential equations","authors":"R. Vichnevetsky","doi":"10.1145/1468075.1468098","DOIUrl":null,"url":null,"abstract":"Partial differential equations involving one space dimension and time can be solved by hybrid computers using the serial (or continuous space-discrete time) method. In so doing, the continuous integration capability of the analog computer is used along the space axis while integration along the time axis is performed in a discrete fashion by making use of finite differences.","PeriodicalId":180876,"journal":{"name":"Proceedings of the April 30--May 2, 1968, spring joint computer conference","volume":"33 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1968-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"30","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the April 30--May 2, 1968, spring joint computer conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/1468075.1468098","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 30
Abstract
Partial differential equations involving one space dimension and time can be solved by hybrid computers using the serial (or continuous space-discrete time) method. In so doing, the continuous integration capability of the analog computer is used along the space axis while integration along the time axis is performed in a discrete fashion by making use of finite differences.