3 papers
math.NA2026
Polynomial interpolation--regression on the sphere
Francesco Dell'Accio, Federico Nudo, Teresa E. Pérez +1
We introduce an interpolation--regression operator for polynomial approximation on the unit sphere from discrete samples. The approximant is a spherical polynomial o…
math.NA2026
Laguerre-Sobolev orthogonal Polynomials and Boundary Value Problems on a semi-infinite domain
Cleonice F. Bracciali, Miguel A. Piñar
We study a family of Laguerre--Sobolev orthogonal polynomials associated with a Sobolev inner product arising from second--order boundary value problems on the semi--infinite inter…
math.NA2026
A fully diagonalized spectral method on the unit ball
Miguel A. Piñar
Our main objective in this work is to show how Sobolev orthogonal polynomials emerge as a useful tool within the framework of spectral methods for boundary-value problems. The solu…