I. Supercomputer Architectures.- Performance Modelling of Supercomputer Architectures and Algorithms.- Parallel Processing based on Active-Data.- Architectures for simulation environment.- The Numerical Solution of Elliptic Partial Differential.- II. Supercomputer Languages and Algorithms.- Design of Numerical Algorithms for Supercomputers.- Developments in Supercomputer Languages.- III. Supercomputer Applications.- Vectorization Techniques and Dynamic Electron Correlations.- Application of Vectorization on Ab-Initio Calculations of Silicon Carbide and Boron Nitride.- Applications of Supercomputers in Mathematics.- Vectorization of Large Quantum Chemical Projects: Methods and Illustrations.- Jacobi-type Algorithms for Eigenvalues on Vector and Parallel Computers.- High Performance Computing in Economics.- Benchmark on Supercomputers for an Industrial Environment.- Solving Partial Differential Equations on a Network of Transputers.- IV. Indexes.- Author Index.