APPLICATIONS OF OPERATOR SPLITTING METHODS TO THE NUMERICAL SOLUTION OF NONLINEAR PROBLEMS IN CONTINUUM MECHANICS AND PHYSICS

The main goal of this paper is to describe operator splitting methods for the solution of time dependent differential equations, andto discuss their application to the numerical solution of nonlinear problems such as the Navier-Stokes equations for incompressible viscous fluids, the linear eigenvalue problem, the Hartree equation for the Helium atom, and finally to the solution of a non convex problemfrom the calculus of variations associated to the physics of liquid crystals. Numerical results will be presented showing the potential of such methods.

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