Miranker

Accurate Scientific Computations

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

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Computational Science and Engineering 235
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-16798-3
• 1986.
• Seitenzahl: 224
• Erscheinungstermin: 1. September 1986
• Englisch
• Abmessung: 235mm x 155mm x 13mm
• Gewicht: 370g
• ISBN-13: 9783540167983
• ISBN-10: 3540167986
• Artikelnr.: 09227470

Inhaltsangabe

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.