A method and apparatus are provided for detonation of a super-compressed insensitive energetic material by cylindrical implosion followed by an axial detonation to a detonation velocity several times that of TNT and a detonation pressure in excess of ten times that of TNT. The device provides a conical metal flyer shell within which is disposed a cylindrical anvil surrounded by explosive. The anvil retains an insensitive energetic material to be compressed and detonated. A first detonation of explosive by impact of the flyer shell generates a reverberating oblique shock wave system for sample compression. Axial detonation of the compressed sample through any length of a sample is achieved following the principal of matching the axial velocity and compression time of the oblique shock wave system to the detonation velocity and induction delay time of the compressed sample. The method and apparatus are also applicable to enhancing the effect of anti-armor and anti-hard-target munitions. The apparatus is also applicable to inert sample compression to the megabar range without using the axial detonation.