Accurate scientific computations : symposium, Bad Neuenahr, FRG, March 12-14, 1985, proceedings
著者
書誌事項
Accurate scientific computations : symposium, Bad Neuenahr, FRG, March 12-14, 1985, proceedings
(Lecture notes in computer science, 235)
Springer-Verlag, c1986
- : gw
- : us
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注記
"An alternative title for this symposium might be Applications of Computing Machines in Mathematics"
Includes bibliographical references
内容説明・目次
目次
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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