Structural analysis of matrix integration operators in polynomial bases

F Rezaei, M Hadizadeh, R Corless… - Banach Journal of …, 2022 - Springer
This work describes a matrix representation approach for efficient and explicit construction of
generic well-conditioned matrix integration operators in terms of degree-graded and non …

Solving 2nd order BVPs in planar irregular domains

O Guimarães, W Labecca, JRC Piqueira - Mathematics and Computers in …, 2022 - Elsevier
This paper presents a pseudo-spectral method to solve PDEs in univocally describable
irregular planar domains in polar coordinates, using a simple relationship that transforms the …

Tensor solutions in irregular domains: Eigenvalue problems

O Guimarães, W Labecca, JRC Piqueira - Mathematics and Computers in …, 2021 - Elsevier
This work develops a numerical method to solve eigenvalue problems considering irregular
two-dimension convex domains. It is based on the application of the Jordan spectral method …