Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Meshfree Approximation Methods with MATLAB
Meshfree Approximation Methods with MATLAB
Multivariate Jackson Inequality
Journal of Computational and Applied Mathematics
Orthogonal polynomials (in Matlab)
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the seventh international symposium on Orthogonal polynomials, special functions and applications
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We construct a cubature formula of algebraic degree of exactness n with n^2/2+O(n) nodes, on the bidimensional domains generated by linear blending of two arcs of ellipses corresponding to the same angular interval. The construction is based on recent results on ''subperiodic'' trigonometric quadrature. Our formula generalizes several recent cubature formulas on standard circular sections. Among its numerous possible applications, we quote for example integration of functions with singularities, and integration on nonstandard circular sections arising in optical design or in meshfree methods with compactly supported radial bases.