Mục lục

  • Contents

  • 1. Principles of Numerical Calculations

    • Introduction

    • Common Ideas and Concepts

    • Numerical Algorithms

    • Numerical Solution of Differential Equations

    • Monte Carlo Methods

    • Linear Algebra and Matrix Computations

    • 2. How to Obtain and Estimate Accuracy

      • Basic Concepts in Error Estimation

      • Computer Number Systems

      • Accuracy and Rounding Errors

      • Error Propagation and Condition Numbers

      • 3. Series, Operators and Continued Fractions

        • Some Basic Facts about Series

        • Difference Operators and Operator Expansion

        • Acceleration of Convergence

        • Continued Fractions and Pade Approximants

        • 4. Interpolation and Related Subjects

          • The Interpolation Problem

          • Interpolation Formulas and Algorithms

          • Interpolation where values of derivatives are used

          • Spline Functions

          • Polynomial Interpolation of Analytic Functions

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