Practical Numerical and Scientific Computing with MATLAB® and Python by Bashier Eihab B. M.;

Author:Bashier, Eihab B. M.;
Language: eng
Format: epub
Publisher: CRC Press LLC
Published: 2020-02-18T00:00:00+00:00

Applying to the integral

with n = 4 gives the following results:

Integration with Gauss quadrature based on 4-LGR points ----------------------------------------------------- N Approx Int. Error ----------------------------------------------------- 5 0.549306013521088 2.381421874512e-07 10 0.549306144353480 3.536282517630e-11 20 0.549306144334126 1.291506603473e-13 40 0.549306144334055 4.042274189272e-16 80 0.549306144334055 2.021137094636e-16 ----------------------------------------------------- Rates of convergence for Gauss quadrature based on 4-LGR points: ----------------------- N Conv. Rate ----------------------- 5 12.717 10 8.097 20 8.320 40 1.000 -----------------------

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