Convergence Analysis of a Class of Massively Parallel Direction   Splitting Algorithms for the Navier-Stokes Equations
  We provide a convergence analysis for a new fractional time-stepping technique for the incompressible Navier-Stokes equations based on direction splitting. This new technique is of linear complexity, unconditionally stable and convergent, and suitable for massive parallelization. 
Jean-Luc Guermond, Peter D. Minev and Abner J. Salgado
math.NA