Taylor expansion of the accumulated rounding error

Elements of Numerical Analysis

R. W. Hamming, Peter Henrici · Mathematics of Computation · 1965 · 663 citations

Natural Sciences, Computational Engineering, Mathematics +12

A statistical model of roundoff error for varying length floating-point arithmetic

Martti Tienari · BIT Numerical Mathematics · 1970 · 19 citations

Natural Sciences, Computer Science, Mathematics +15

Towards accurate statistical estimation of rounding errors in floating-point computations

Seppo Linnainmaa · BIT Numerical Mathematics · 1975 · 14 citations

Computing, Computer Science, Mathematics +13

On some topological properties of numerical algorithms

Martti Tienari · BIT Numerical Mathematics · 1972 · 10 citations

Computing, Computer Science, Mathematics +14