高速多倍長計算環境における数値解析(科学技術計算と数値解析(多倍長科学技術計算の基礎と応用), <特集>平成17年研究部会連合発表会)

概要

論文の詳細を見る
We propose a multiple-precision arithmetic environment, which reduces influence of rounding errors, as a clue of qualitative improvement of scientific computations. The usual double precision system is not satisfactory for computations of numerically unstable problems although it has about 15 digits accuracy in representation and computation of real numbers, but our proposed environment gives a new method to deal with them and enable us to carry out high accurate computations. We show the effective use of multiple-precision arithmetic for numerical treatments of analytic functions and high-accurate numerical integration formula. Such ultimate accuracy is necessary in numerical computations of inverse and ill-posed problems. Proposed environment is designed for new 64-bit personal computer architectures.
日本応用数理学会の論文
2005-09-25