J. D. Loera, Brandon E. Dutra, M. Köppe, Stanislav Moreinis, Gregory Pinto, Jianqiu Wu
{"title":"Software for exact integration of polynomials over polyhedra","authors":"J. D. Loera, Brandon E. Dutra, M. Köppe, Stanislav Moreinis, Gregory Pinto, Jianqiu Wu","doi":"10.1145/2110170.2110175","DOIUrl":null,"url":null,"abstract":"We are interested in quickly computing the exact value of integrals of polynomial functions over domains that are decomposable into convex polyhedra (e.g., a tetrahedral or cubical mesh decomposition of space). We describe a software implementation, part of the software LattE, and provide benchmark computations.","PeriodicalId":11245,"journal":{"name":"Discret. Comput. Geom.","volume":"6 1","pages":"232-252"},"PeriodicalIF":0.0000,"publicationDate":"2011-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"80","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discret. Comput. Geom.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/2110170.2110175","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 80
Abstract
We are interested in quickly computing the exact value of integrals of polynomial functions over domains that are decomposable into convex polyhedra (e.g., a tetrahedral or cubical mesh decomposition of space). We describe a software implementation, part of the software LattE, and provide benchmark computations.
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