## Numerical Analysis |

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### Contents

INTRODUCTION | 1 |

THE TOOLS OF NUMERICAL WORK AND HOW | 11 |

CHAPTER HI EVALUATION OF FORMULAE | 26 |

Copyright | |

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### Common terms and phrases

accumulator accuracy algebraic applied approximation Bessel's boundary conditions calculation cardinal function carried characteristic values characteristic vectors coefficients column convenient correct cross sum D. R. Hartree derivatives desk machine determined digits divided differences elimination Euler-Maclaurin formula evaluation example expressed finite differences first-order follows fourth differences function values given gives grid Hence integrand integration formula intermediate interpolated value interpolation formula interval 8x interval length inverse interpolation involving iterative process linear interpolation matrix method mistake multiplication numerical analysis numerical integration obtained off(x operator orders of differences orthogonal partial differential equations Phil pivotal values polynomial of degree Proc procedure range recurrence relation relation relaxation process residuals roots rounding errors satisfy second differences second-order sequence set of equations set of values setting levers smoothing solution subtabulation successive tabular values tabulated taken tion trapezium rule truncation error two-point boundary conditions written zero