{"title":"基于卡尔曼滤波理论求解两点边值问题的新方法","authors":"Zhaohui Dang, Yulin Zhang","doi":"10.1109/CyberC.2011.57","DOIUrl":null,"url":null,"abstract":"This paper describes a simple and efficient approach to the two point boundary value problem. This approach based on the Kalman filtering theory has an ingenious iteration form. The calculated results are in excellent agreement with exact solutions. Some examples indicate that the new method has higher precision than Simple Shooting method.","PeriodicalId":227472,"journal":{"name":"2011 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A New Method Based on Kalman Filtering Theory for Solving Two Point Boundary Value Problems\",\"authors\":\"Zhaohui Dang, Yulin Zhang\",\"doi\":\"10.1109/CyberC.2011.57\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper describes a simple and efficient approach to the two point boundary value problem. This approach based on the Kalman filtering theory has an ingenious iteration form. The calculated results are in excellent agreement with exact solutions. Some examples indicate that the new method has higher precision than Simple Shooting method.\",\"PeriodicalId\":227472,\"journal\":{\"name\":\"2011 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-10-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CyberC.2011.57\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CyberC.2011.57","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A New Method Based on Kalman Filtering Theory for Solving Two Point Boundary Value Problems
This paper describes a simple and efficient approach to the two point boundary value problem. This approach based on the Kalman filtering theory has an ingenious iteration form. The calculated results are in excellent agreement with exact solutions. Some examples indicate that the new method has higher precision than Simple Shooting method.