A class of numerical integration rules with first order derivatives

@inproceedings{AlAlaoui1996ACO,
  title={A class of numerical integration rules with first order derivatives},
  author={Mohamad Adnan Al-Alaoui},
  booktitle={SGNM},
  year={1996}
}
A novel approach to deriving a family of quadrature formulae is presented. The first member of the new family is the corrected trapezoidal rule. The second member, a two-segment rule, is obtained by interpolating the corrected trapezoidal rule and the Simpson one-third rule. The third member, a three-segment rule, is obtained by interpolating the corrected trapezoidal rule and the Simpson three-eights rule. The fourth member, a four-segment rule is obtained by interpolating the two-segment rule… CONTINUE READING
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