Elliptic operators play a central role in the analysis of partial differential equations, underpinning a wide range of phenomena from quantum mechanics to heat conduction. In particular, the study of ...

We study the orthogonal spline collocation (OSC) solution of a homogeneous Dirichlet boundary value problem in a rectangle for a general nonlinear elliptic partial differential equation. The ...

This is a preview. Log in through your library . Abstract M. T. Anderson and D. Sullivan showed that the Dirichlet problem at infinity for simply connected manifolds is solvable if the curvature ...