Analytic–numerical investigation of the nonlinear boundary value problem for a superconducting plate in a magnetic field

An analytic-numerical analysis of the one-dimensional boundary value problem for the Ginzburg–Landau equations is presented. The problem describes the stationary states of an infinite superconducting plate of finite thickness in a magnetic field. The emphasis is on the examination of the dynamic stability of solutions in the framework of linear perturbation theory.