Ebook: Accurate Scientific Computations: Symposium, Bad Neuenahr, FRG, March 12–14, 1985 Proceedings

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Content:
Front Matter....Pages -
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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Content:
Front Matter....Pages -
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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