## Methods of Numerical Integration |

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### Contents

APPROXIMATE INTEGRATION OVER | 40 |

APPENDIX BIBLIOGRAPHY OF ALGOL FORTRAN | 44 |

15 | 81 |

Copyright | |

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### Common terms and phrases

abscissas accuracy algorithm analysis analytic applied approximate integration approximation assume asymptotic automatic bounded called Cauchy principal value coefficients complex computed consider constants continuous convergence corresponding Davis defined DEFINITION derivatives designate determined difference differential dimensions discussion equal equations error evaluations example exists expansion expressions fact fixed formula Fourier function Gauss rules give given Hence infinite integrand integration formula interpolation interval known leads limit linear Math means method norm Note numerical numerical integration obtain orthogonal periodic points polynomials positive possible practical precision problem quadrature References region respect Romberg rule satisfy scheme selection sequence similar simple singularity solution space spline Stroud Suppose theorem theory tion transform trapezoidal rule variable weights write yields zeros