DOUBLE PHOTOIONIZATION OF HELIUM: THE HYPERSPHERICAL R-MATRIX METHOD WITH SEMICLASSICAL OUTGOING WAVES L Malegat\dag, A Kazansky\ddag and P Selles\dag \dag Laboratoire de Spectroscopie Atomique et Ionique, Universit\'e Paris-Sud, Bat. 350, 91405 Orsay, France \ddag Institute of Physics, The University of St Petersburg, St Petersburg, 198904, Russia We present a novel {\it ab initio} scheme for computing the wavefunction of the pair of electrons projected into the double continuum of the helium atom by a one photon dipolar excitation. This scheme treats the two electrons on the same footing and includes their mutual repulsion non perturbatively throughout configuration space: this makes it particularly suitable for the description of the threshold region where previous methods meet convergence problems.