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Browsing SWL-Mathematics and Natural Sciences by Subject "trapezoidal rule"

Browsing SWL-Mathematics and Natural Sciences by Subject "trapezoidal rule"

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  • Muhammad, Imran (2017-11-14)
    We discussed some derivations of Simpson rule formulas that are not commonly discussed in numerical analysis texts. The derivation involved a Lagrange interpolating polynomial, and a quadratic polynomial analytically and ...
  • Muhammad, Imran (2017-11-14)
    In this paper we propose a new modification of Newton's method based on midpoint rule for solving nonlinear equations. Analysis of convergence shows that the new method is cubically convergent for a simple root and linearly ...
  • Muhammad, Imran; Karma, Asmara (2017-11-14)
    We discuss and do some analysis on numerical integration based on interpolation, midpoint, trapezoidal rule and Simpson rule. We end up with some new formulas, which are not mentioned in numerical analysis textbooks. The ...
  • Muhammad, Imran (2017-11-14)
    We discuss modified Newton methods, by looking at an approximation errorof a numerical approximation on an integral, and propose a modification usingmidpoint rule. Comparison among the discussed methods is also given ...

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