3 papers
math.NA2017
Solving differential and integral equations with Tau method
de Matos, João Carrilho, Matos +3
In this work we present a new approach for the implementation of operational Tau method for the solutions of linear differential and integral equations. In our approach we use the…
math.NA2017
Filtering the Tau method with Frobenius-Padé Approximants
João Carrilho de Matos, José M. A. Matos, Maria João Rodrigues
In this work, we use rational approximation to improve the accuracy of spectral solutions of differential equations. When working in the vicinity of solutions with singularities, s…
math.NA2017
Explicit formulae for derivatives and primitives of orthogonal polynomials
José M. A. Matos, Maria João Rodrigues, João Carrilho de Matos
In this work we deduce explicit formulae for the elements of the matrices that represent the action of integro-differential operators over the coefficients of generalized Fourier s…