Numerical integration of a piecewise function takes ages if the range of integration contains more than one region of the piecewise defined function: 3.08205246495229 CPU times: user 445 ms, sys: 0 ns ...
If a piecewise constant function is integrated, the result is okay, if 2 integrals are nested, that's okay too, but 3 times the result is 'nan' which it shouldn't be: from sympy import * a1, a2, a3 = ...
Abstract: Structure Integral transform (SIT) is a mathematical tool for invariant shape recognition. SIT has a superior ability to capture the interior structure information by integrating the shape ...
We consider solving integral equations on a piecewise smooth surface S in R3 with a smooth kernel function, using piecewise polynomial collocation interpolation of the surface. The theoretical ...
The Journal of Integral Equations and Applications, Vol. 15, No. 3 (FALL 2003), pp. 263-320 (58 pages) ...
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