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| Preface to the Second Edition Preface to the First Edition 1 Error Analysis 1.1 Representation of Numbers 1.2 Roundoff Errors and Floating-Point Arithmetic 1.3 Error Propagation 1.4 Examples 1.5 Interval Arithmetic; Statistical Roundoff Estimation Exercises for Chapter 1 References for Chapter 1 2 Interpolation 2.1 Interpolation by Polynomials 2.1.1 Theoretical Foundation: The Interpolation Formula of Lagrange 2.1.2 Neville‘s Algorithm 2.1.3 Newton‘s Interpolation Formula: Divided Differences 2.1.4 The Error in Polynomial Interpolation 2.1.5 Hermite Interpolation 2.2 Interpolation by Rational Functions 2.2.1 General Properties of Rational Interpolation 2.2.2 Inverse and Reciprocal Differences. Thiele‘s Continued Fraction 2.2.3 Algorithms of the Neville Type 2.2.4 Comparing Rational and Polynomial Interpolations 2.3 Trigonometric Interpolation …… 3 Topics in Integration 4 Systems of Linear Equations 5 Finding Zeros nad Minim by Iterative Methods 6 Eigenvalue Problems 7 Ordinary Differential Equations 8 Iterative Methods for the Solution of Large Systems of Linear Equation.Some Further Methods General Literature on Numerical Methods Index |
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