A Multi-Grid Method for the Resolution of Thermodynamic Bethe Ansatz Equations Alfio Borz\`{\i} and Anni Koubek SISSA, Scuola Internazionale Superiore di Studi Avanzati Via Beirut 2-4 34013 Trieste Italy Abstract We present a multi-grid algorithm in order to solve numerically the thermodynamic Bethe ansatz equations. We specifically adapt the program to compute the data of the conformal field theory reached in the ultraviolet limit.