In this article, we present an overview of different a posteriori error analysis and post-
processing methods proposed in the context of nonlinear eigenvalue problems, eg arising in …

This paper addresses the numerical solution of nonlinear eigenvector problems such as the
Gross–Pitaevskii and Kohn–Sham equation arising in computational physics and chemistry …

We address the problem of rigorously bounding the errors in the numerical solution of the
Kohn–Sham equations due to (i) the finiteness of the basis set,(ii) the convergence …

It is often claimed that error cancellation plays an essential role in quantum chemistry and
first-principle simulation for condensed matter physics and materials science. Indeed, while …

In this article, we derive fully guaranteed error bounds for the energy of convex nonlinear
mean-field models. These results apply in particular to Kohn-Sham equations with convex …

In this article, we provide a priori estimates for a perturbation-based post-processing method
of the plane-wave approximation of nonlinear Kohn–Sham local density approximation …

In this article we prove a priori error estimates for the perturbation-based post-processing of
the plane-wave approximation of Schrödinger equations introduced and tested numerically …

In this article, we propose a new numerical method and its analysis to solve eigenvalue
problems for self-adjoint Schrödinger operators, by combining the Feshbach–Schur …

We propose an adaptive planewave method for eigenvalue problems in electronic structure
calculations. The method combines a priori convergence rates and accurate a posteriori …

The purpose of this study was to evaluate the effects of particular development stakeholders
on the livelihoods of pastoralists in a few districts in the West Hararge zone of Ethiopia's …