The meeting took place at the Eibsee Hotel, near Garmisch-Partenkirchen in the Federal Republic of Germany, May 13-16th 1986. It was a relatively small meeting held in a beautiful location; there were approximately 80 delegates, most of them from Europe but with some from Australia, Japan, USA and elsewhere. The programme was a little unusual in that it brought together computational physics specialists working on astrophysical, magnetic confinement and inertial confinement plasma physics problems. Despite the apparent diversity of interests, the conference was lively and fruitful. Different emphasis of attack to similar numerical and computational problems faced in all three areas gave insight not usual in more narrowly defined topic meetings.