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

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Springer Science & Business Media, Sep 1, 1986 - Mathematics - 208 pages
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Mathematics of Computing -- Numerical Analysis.
 

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Contents

A NEW APPROACH FOR ACHIEVING HIGH ACCURACY AND GOOD PERFORMANCE
1
FAST ELEMENTARY FUNCTION ALGORITHMS FOR 370 MACHINES
17
A NEW ARITHMETIC FOR SCIENTIFIC COMPUTATION
18
New Results on Verified Inclusions
31
ACCURATE ELLIPTIC DIFFERENTIAL EQUATION SOLVER
70
Case Studies for Augmented FloatingPoint Arithmetic
86
Strict Optimal Error and Residual Estimates for the Solution of Linear Algebraic Systems by Elimination Methods in HighAccuracy Arithmetic
119
Solving Large Sparse Linear Systems With Guaranteed Accuracy
142
Symbolic and Numeric Manipulation of Integrals
168
COMPUTER ALGEBRA AND EXACT SOLUTIONS TO SYSTEMS OF POLYNOMIAL EQUATIONS
181
THE EUCLIDEAN ALGORITHM FOR GAUSSIAN INTEGERS
182
AN EFFICIENT STOCHASTIC METHOD FOR ROUNDOFF ERROR ANALYSIS
183
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