Accurate scientific computations : symposium, Bad Neuenahr, FRG, March 12-14, 1985, proceedings

Bibliographic Information

Accurate scientific computations : symposium, Bad Neuenahr, FRG, March 12-14, 1985, proceedings

edited by Willard L. Miranker and Richard A. Toupin

(Lecture notes in computer science, 235)

Springer-Verlag, c1986

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  • : us

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Note

"An alternative title for this symposium might be Applications of Computing Machines in Mathematics"

Includes bibliographical references

Description and Table of Contents

Table of Contents

Computing elementary functions: A new approach for achieving high accuracy and good performance.- Fast elementary function algorithms for 370 machines.- A new arithmetic for scientific computation.- New results on verified inclusions.- Accurate elliptic differential equation solver.- Case studies for augmented floating-point arithmetic.- Strict optimal error and residual estimates for the solution of linear algebraic systems by elimination methods in high-accuracy arithmetic.- Solving large sparse linear systems with guaranteed accuracy.- Symbolic and numeric manipulation of integrals.- Computer algebra and exact solutions to systems of polynomial equations.- The euclidean algorithm for gaussian integers.- An efficient stochastic method for round-off error analysis.

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