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Adaptive Simpson's Method with true error for g = e^xsin(e^x) - Pastebin.com
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Adaptive Simpson's Method with true error for g = e^xsin(e^x)
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- function [outI, outX] = adaptive_two_simpson_g_error (func, a, b, tol)
- m = (a+b)/2;
- ## c = 1/(1/16-1);
- ## k = 1/15;
- ## g = e.^x.*sin(e.^x)
- I = cos(e^a)-cos(e^b);
- [outI_1, outX_1] = composite_two_simpson(func, a, m, (m-a)/2 );
- [outI_2, outX_2] = composite_two_simpson(func, m, b, (b-m)/2 );
- if abs(I - (outI_1 + outI_2)) < tol
- outI = outI_1 + outI_2;
- outX = unique([outX_1, outX_2]);
- else
- [outI_3, outX_3] = adaptive_two_simpson_g_error(func, a, m, tol/2);
- [outI_4, outX_4] = adaptive_two_simpson_g_error(func, m, b, tol/2);
- outI = outI_3 + outI_4;
- outX = unique([outX_3, outX_4]);
- endif
- endfunction
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