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math.CA2012
Optimal error estimates for corrected trapezoidal rules
Erik Talvila, Matthew Wiersma
Corrected trapezoidal rules are proved for under the assumption that for some . Such quadrature rules involve the trapezoi…
math.CA2012★ 5 cited
Simple derivation of basic quadrature formulas
Erik Talvila, Matthew Wiersma
Simple proofs of the midpoint, trapezoidal and Simpson's rules are proved for numerical integration on a compact interval. The integrand is assumed to be twice continuously differe…