On the relation between Galerkin approximations and canonical best-approximations of solutions to some non-linear Schrödinger equations

Muhammad Hassan, Yvon Maday, Yipeng Wang

In this paper, we establish a superconvergence property of Galerkin approximations to some non-linear Schrödinger equations of Gross-Pitaevskii type. More precisely, denoting by $u…