Accurate Scientific Computations: Symposium, Bad Neuenahr, Federal Republic Of Germany March 12-14, 1985. Proceedings (lecture Notes In Computer Science)

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