Accurate Scientific Computations
Symposium, Bad Neuenahr, Federal Republic of Germany March 12-14, 1985. Proceedings
Mitarbeit: Miranker, Willard L.; Toupin, Richard A.
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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.- Comput...
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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