[en] Since the 1990 IAEA Conference in Washington, progress on numerical models (hydrodynamics, atomic physics, radiation hydrodynamics) and the understanding of the inertial fusion target physics and the performance of the first wall materials of the inertial fusion reactors has been made. A new two dimensional hydrodynamics code, using finite differences and a staggered mesh, has been successfully tested in the description of some hydrodynamic instabilities. A new model for obtaining local thermodynamic equilibrium (LTE) opacities of high-Z materials has been developed, which strongly improves the computational performance by allowing larger and more refined studies. Non-LTE atomic physics has also been extended, including average ion and detailed configuration accounting solutions. The 1-D multigroup radiation hydrodynamics model has simulated X ray conversion experiments performed in the PHEBUS laser facility of CEA Limeil (France). Kidder type laser pulses are used to implode high gain targets, improving the hydrodynamic stability (low in-flight aspect ratio) with sufficient energy gain (>100), and reasonable energies (∼ 3 MJ). Heavy ion, compressed experimental and high gain targets have been studied. Low activation materials have been extensively revised. SiC and vanadium alloys demonstrated good performance, i.e. as the ceramic material, and the effect of their impurities has been observed. A comparison with the magnetic fusion neutronics environment has been performed. (author). 11 refs, 1 fig., 1 tab