On the numerical solution of the equation \(\frac{\partial ^ 2z\partial ^ 2z}{\partial x^ 2\partial y^ 2}-(\frac{\partial ^ 2z}{\partial x\partial y})^ 2=f\) and its discretizations. I
For a bounded convex domain, nonnegative f and Dirichlet data a special discretization of the indicated of the title equation is constructed. For the discrete version of the problem an iterative method that produces a monotonically convergent sequences is proposed. Several numerical examples are presented.
scientific article; zbMATH DE number 4078715