Shmuel Gal (auth.), Willard L. Miranker, Richard A. Toupin (eds.)3540167986
Table of contents :
Computing elementary functions: A new approach for achieving high accuracy and good performance….Pages 1-16
Fast elementary function algorithms for 370 machines….Pages 17-17
A new arithmetic for scientific computation….Pages 18-30
New results on verified inclusions….Pages 31-69
Accurate elliptic differential equation solver….Pages 70-85
Case studies for augmented floating-point arithmetic….Pages 86-118
Strict optimal error and residual estimates for the solution of linear algebraic systems by elimination methods in high-accuracy arithmetic….Pages 119-141
Solving large sparse linear systems with guaranteed accuracy….Pages 142-167
Symbolic and numeric manipulation of integrals….Pages 168-180
Computer algebra and exact solutions to systems of polynomial equations….Pages 181-181
The euclidean algorithm for gaussian integers….Pages 182-182
An efficient stochastic method for round-off error analysis….Pages 183-205
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