Accurate Scientific Computations - Symposium, Bad Neuenahr, Federal Republic of Germany March 12-14, 1985. Proceedings

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.

List 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.

Product details

• Assisted by: A Toupin (Editor), A Toupin (Editor), Willar L Miranker (Editor), Willard L Miranker (Editor), Willard L. Miranker (Editor), Richard A. Toupin (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.1960
• EAN: 9783540167983
• ISBN: 978-3-540-16798-3
• No. of pages: 208
• Weight: 370 g
• Illustrations: XVI, 208 p.
• Series: Lecture Notes in Computational Science and Engineering; Lecture Notes in Computer Science; Lecture Notes in Computational Science and Engineering
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics