Overviews.- A Viewpoint on Discretization Schemes for Applied Aerodynamic Algorithms for Complex Configurations.- Some Remarks about Computational Fluid Dynamics.- Algorithmic Trends in CFD in the 1990’s for Aerospace Flow Field Calculations.- Advances for the Simulation of Compressible Viscous Flows on Unstructured Meshes.- Some Challenges in Massively Parallel Computation.- Acceleration Techniques.- Local Preconditioning of the Euler Equations and its Numerical Implications.- Incremental Unknowns in Finite Differences.- Supercomputer Implementations of Preconditioned Krylov Subspace Methods.- Recent Advances in Lanczos-Based Iterative Methods for Nonsymmetric Linear Systems.- Convergence Acceleration Algorithms.- Spectral and Higher-Order Methods.- Spectral Methods for Viscous, Incompressible Flows.- Issues in the Application of High Order Schemes.- Essentially Nonoscillatory Postprocessing Filtering Methods.- Some Novel Aspects of Spectral Methods.- Multi-Resolution and Subcell Resolution Schemes.- Wavelet Methods in Computational Fluid Dynamics.- Subcell Resolution Methods for Viscous Systems of Conservation Laws.- Multi-Resolution Analysis for ENO Schemes.- Adaptive-Mesh Algorithms for Computational Fluid Dynamics.- Inherently Multidimensional Schemes.- Beyond the Riemann Problem, Part I.- Beyond the Riemann Problem, Part II.- Three Dimensional Covolume Algorithms for Viscous Flows.- Comments on Session — Inherently Multidimensional Schemes.

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