An algebraic cubature formula on curvilinear polygons |
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Authors: | G SantinA Sommariva M Vianello |
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Institution: | Department of Pure and Applied Mathematics, University of Padova, via Trieste 63, 35121 Padova, Italy |
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Abstract: | 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. |
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Keywords: | Algebraic cubature Chebfun Green&rsquo s formula |
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