swMATH ID: 32031
Software Authors: Santin, G.; Sommariva, A.; Vianello, M.
Description: An algebraic cubature formula on curvilinear polygons. We implement in Matlab a Gauss-like cubature formula on bivariate domains whose boundary is a piecewise smooth Jordan curve (curvilinear polygons). The key tools are Green’s integral formula, together with the recent software package Chebfun to approximate the boundary curve close to machine precision by piecewise Chebyshev interpolation. Several tests are presented, including some comparisons of this new routine ChebfunGauss with the recent SplineGauss that approximates the boundary by splines.
Homepage: https://www.math.unipd.it/~marcov/CAAsoft.html
Dependencies: Matlab
Keywords: algebraic cubature; Gauss-like cubature formula; bivariate domains; Jordan curve; Green’s integral formula; software package Chebfun; Chebyshev interpolation; numerical examples; comparison of methods
Related Software: SplineGauss; Chebfun; Matlab; CUBPACK
Referenced in: 1 Publication

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