The Approximation of Generalized Turning Points by Projection Methods with Superconvergence to the Critical Parameter.
The numerical treatment of perturbed bifurcation in boundary value problems
The virtual element method for eigenvalue problems with potential terms on polytopic meshes
We extend the conforming virtual element method (VEM) to the numerical resolution of eigenvalue problems with potential terms on a polytopic mesh. An important application is that of the Schrödinger equation with a pseudopotential term. This model is a fundamental element in the numerical resolution of more complex problems from the Density Functional Theory. The VEM is based on the construction of the discrete bilinear forms of the variational formulation through certain polynomial projection operators...
Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem.