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2011

An algebraic cubature formula on curvilinear polygons

8 years 2 months ago
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.
G. Santin, Alvise Sommariva, Marco Vianello
Added 24 Aug 2011
Updated 24 Aug 2011
Type Journal
Year 2011
Where AMC
Authors G. Santin, Alvise Sommariva, Marco Vianello
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