Rautmann, R. Navier-Stokes approximations in high order norms. (English) Zbl 0877.76015 Hirschel, Ernst Heinrich (ed.), Flow simulation with high-performance computers II. DFG priority research programme results 1993 - 1995. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 52, 295-304 (1996). We present results on the convergence in high order norms of approximate solutions to the Navier-Stokes initial-boundary value problem. Our main purpose is to find out strongest norms in which uniform convergence of Navier-Stokes approximations on a compact time interval can be achieved realistically.For the entire collection see [Zbl 0846.00039]. MSC: 76D05 Navier-Stokes equations for incompressible viscous fluids 76M20 Finite difference methods applied to problems in fluid mechanics 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs Keywords:initial-boundary value problem; strongest norms; uniform convergence; compact time interval PDFBibTeX XMLCite \textit{R. Rautmann}, Notes Numer. Fluid Mech. 52, 295--304 (1996; Zbl 0877.76015)