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52 lines
1.6 KiB
52 lines
1.6 KiB
Semi-automatic and Adaptive
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One multiple pole A
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int_{-1}^{1} sin( 1/(x-A) ) dx
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Pole is 1.100
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N-point rational Fejer with N = 22.000
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Exact relative error: 1.0055212044554036e-14
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Execution time: 1.4562599999999998e-02
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Semi-automatic rational Fejer:
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Number of poles: 100.000
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Initial iteration: 1.000
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Number of iterations: 22.000
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Estimated relative error: 1.6758686740923289e-15
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Exact relative error: 6.3310594354599494e-15
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Execution time: 1.6437129999999997e-01
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Semi-automatic rational Fejer with limited number of iterations:
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Number of poles: 100.000
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Initial iteration: 20.000
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Number of iterations: 3.000
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Estimated relative error: 1.6758686740923289e-15
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Exact relative error: 6.3310594354599494e-15
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Execution time: 7.1796100000000002e-02
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N-point rational Fejer with N = 15.000
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Exact relative error: 6.3408911983479571e-11
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Execution time: 1.2087000000000001e-02
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Adaptive rational Fejer (1):
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Number of subintervals: 4.000
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Number of different quadrature formulae: 4.000
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Number of points in each subinterval: 15.000
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Estimated relative error: 1.1056078058248075e-16
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Exact relative error: 1.8620763045470439e-16
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Execution time: 9.2438099999999995e-02
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Adaptive rational Fejer (2):
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Number of subintervals: 12.000
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Number of different quadrature formulae: 1.000
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Number of points in each subinterval: 15.000
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Estimated relative error: 2.4730700919765422e-16
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Exact relative error: 1.8620763045470439e-16
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Execution time: 3.6251100000000001e-02
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Matlab's built-in QUADGK:
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Minimal number of subintervals: 10.000
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Number of points in each subinterval: 15.000
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Estimated relative error: 1.3223651256509891e-16
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Exact relative error: 1.8620763045470439e-16
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Execution time: 1.4557000000000001e-03
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