4 papers
Spectral analysis of matrices in collocation methods based on generalized B-splines with high smoothness
Fabio Roman
Although Galerkin discretizations have been intensively employed in the IgA context, an efficient implementation requires special numerical quadrature rules when constructing the s…
On certain ratios regarding integer numbers which are both triangulars and squares
Fabio Roman
We investigate integer numbers which possess at the same time the properties to be triangulars and squares, that are, numbers for which do exist integers and such that…
Complementary results for the spectral analysis of matrices in Galerkin methods with GB-splines
Fabio Roman
We collect some new results relative to the study of the spectral analysis of matrices in Galerkin methods based on generalized B-splines with high smoothness.
Spaces of generalized splines over T-meshes
Cesare Bracco, Fabio Roman
We consider a class of non-polynomial spline spaces over T-meshes, that is, of spaces locally spanned both by polynomial and by suitably-chosen non-polynomial functions, which we w…