Abstract. We introduce a pure-streamfunction formulation for the incompressible Navier-Stokes equations. The idea is to replace the vorticity in the vorticity- streamfunction evolu...
Dalia Fishelov, Matania Ben-Artzi, Jean-Pierre Cro...
Abstract. In seeking suitable Runge-Kutta methods for differential algebraic equations, we consider singly-implicit methods to which are appended diagonally-implicit stages. Metho...
Abstract. We analyze Hmelevskii's theorem, which states that the general solutions of constant-free equations on three unknowns are expressible by a finite collection of formu...
Abstract. Analog of Grobman-Hartman theorem about stable and unstable manifolds solutions for differential equations in Banach spaces with degenerate Fredholm operator at the deri...
Abstract. This paper is concerned with the mixed formulation of the Boussinesq equations in two-dimensional domains and its numerical approximation. The paper deals first with exis...