On the equivalence between basis recombination and boundary bordering formulations for spectral collocation methods in rectangular domains (Q1334623)

The author considers the solution of (second- or fourth-order) boundary value problems by a collocation method with shifted Chebyshev polynomials and establishes the algebraic equivalence of the two systems obtained by either collocating also on the boundary (at Gauss points), or by recombining the polynomials to meet directly the homogeneous Dirichlet boundary data.