{"title":"用蒙特卡罗法求解拉普拉斯微分方程的马尔可夫链","authors":"M. Kokorus, K. Sokolija","doi":"10.1109/ICAT.2013.6684079","DOIUrl":null,"url":null,"abstract":"This paper presents solution to Laplace differential equation by using Markov chains in Monte Carlo method. Considered here was a two-dimensional model that satisfies Dirichlet and Neumann conditions. In particular, electrostatic field was observed in case of homogeneous Neumann condition at one of the domain boundaries.","PeriodicalId":348701,"journal":{"name":"2013 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Solving Laplace differential equation using Markov chains in Monte Carlo method\",\"authors\":\"M. Kokorus, K. Sokolija\",\"doi\":\"10.1109/ICAT.2013.6684079\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents solution to Laplace differential equation by using Markov chains in Monte Carlo method. Considered here was a two-dimensional model that satisfies Dirichlet and Neumann conditions. In particular, electrostatic field was observed in case of homogeneous Neumann condition at one of the domain boundaries.\",\"PeriodicalId\":348701,\"journal\":{\"name\":\"2013 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)\",\"volume\":\"42 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICAT.2013.6684079\",\"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 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICAT.2013.6684079","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solving Laplace differential equation using Markov chains in Monte Carlo method
This paper presents solution to Laplace differential equation by using Markov chains in Monte Carlo method. Considered here was a two-dimensional model that satisfies Dirichlet and Neumann conditions. In particular, electrostatic field was observed in case of homogeneous Neumann condition at one of the domain boundaries.
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