著者

山本 野人 松田 望

出版者

一般社団法人 日本応用数理学会

雑誌

日本応用数理学会論文誌 (ISSN:24240982)

巻号頁・発行日

vol.15, no.3, pp.347-359, 2005-09-25 (Released:2017-04-08)

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Both multiple-precision arithmetic and validated computation have close relationship with the quality of computation. They improve and insure the quality, respectively. We propose a method to compute Bessel functions with guaranteed accuracy, which works on MATLAB. Using multiple-precision arithmetic, the method gives as precise results as one wants together with information of how precise the results are. When it is sufficient to get the results in double-precision, one can use a fast version.