Published July 22, 2011
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A New Quadrature Rule Derived from Spline Interpolation with Error Analysis
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We present a new quadrature rule based on the spline interpolation along with the error analysis. Moreover, some error estimates for the reminder when the integrand is either a Lipschitzian function, a function of bounded variation or a function whose derivative belongs to Lp are given. We also give some examples to show that, practically, the spline rule is better than the trapezoidal rule.
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References
- S. S. Dragomir, On Simpson-s quadrature formula for Lipschitzian mappings and applications, Soochow J. Mathematics, 25(2), 175-180, 1999.
- S. S. Dragomir, On Simpson-s quadrature formula for mappings of bounded variation and applications, Tamkang J. Mathematics, 30(1), 53- 58, 1999.
- S. S. Dragomir, On Simpson-s quadrature formula for differentiable mappings whose derivatines belong to Lp spaces and applications, J. KSIAM, 2(2), 57-65, 1998.
- J. Stoer, R. Bulrisch, Introduction to numerical analysis, Second edition, Springer-Verlag, 1993.
- M. B. Allen, I. E. Isaacson, Numerical analysis for applied science, John Wiley & Sons, 1998.
- R. L. Burden, J. D. Faires, Numerical analysis, Seventh edition, Brooks/Cole, 2001.