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  • 标题:Solving the Generalized Poisson Equation in Proper and Directed Interval Arithmetic
  • 本地全文:下载
  • 作者:Tomasz Hoffmann ; Andrzej Marciniak
  • 期刊名称:Computational Methods in Science and Technology
  • 印刷版ISSN:1505-0602
  • 出版年度:2016
  • 卷号:22
  • 期号:4
  • 页码:225-232
  • DOI:10.12921/cmst.2016.0000048
  • 出版社:Poznan Supercomputing and Networking Center
  • 摘要:In the paper some interval methods for solving the generalized Poisson equation (GPE) are presented. The main aim of this work is focused on providing such algorithms for solving this type of equation that are able to store information about potentially made numerical errors inside the results. In order to cope with these assumptions the floating-point interval arithmetic is used. We proposed to use interval versions of the central-difference method for two types of interval arithmetic: proper and directed. In the experimental part of this paper both arithmetics for three examples of GPE are compared.
  • 其他关键词:interval arithmetic, generalized Poisson equation, central-difference method
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