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Accurate Scientific Computations

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Cover of 'Accurate Scientific Computations'

Table of Contents

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    Book Overview
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    Chapter 1 Computing elementary functions: A new approach for achieving high accuracy and good performance
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    Chapter 2 Fast elementary function algorithms for 370 machines
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    Chapter 3 A new arithmetic for scientific computation
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    Chapter 4 New results on verified inclusions
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    Chapter 5 Accurate elliptic differential equation solver
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    Chapter 6 Case studies for augmented floating-point arithmetic
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    Chapter 7 Strict optimal error and residual estimates for the solution of linear algebraic systems by elimination methods in high-accuracy arithmetic
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    Chapter 8 Solving large sparse linear systems with guaranteed accuracy
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    Chapter 9 Symbolic and numeric manipulation of integrals
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    Chapter 10 Computer algebra and exact solutions to systems of polynomial equations
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    Chapter 11 The euclidean algorithm for gaussian integers
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    Chapter 12 An efficient stochastic method for round-off error analysis
Attention for Chapter 1: Computing elementary functions: A new approach for achieving high accuracy and good performance
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