LAUSR

This paper presents implementation details of an extension of the algebraic formulation for the spectral Tau method for the numerical solution of time-space partial differential problems, together with illustrative numerical examples. This extension implementation highlights (i) the orthogonal basis choice, (ii) the construction of the problem’s algebraic representation and (iii) the mechanisms to tackle certain partial differential problems with ease. This effort will be delivered to the scientific community as a crucial building block of the Tau Toolbox (a numerical library for the solution of integro-differential problems).