3 papers
math.OC2026
Riemannian Multilevel Optimization with Application to Constrained Energy Minimization Problems
Yara Elshiaty, Stefania Petra, Jonas Püschel +2
Multilevel optimization methods are highly effective for discretized energy minimization problems, but their Euclidean formulation does not directly apply to manifold constraints.…
math.NA2025
Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates
R. Altmann, M. Hermann, D. Peterseim +1
This paper addresses the computation of ground states of multicomponent Bose-Einstein condensates, defined as the global minimiser of an energy functional on an infinite-dimensiona…
math.NA2025
Energy-Adaptive Riemannian Conjugate Gradient Method for Density Functional Theory
Daniel Peterseim, Jonas Püschel, Tatjana Stykel
This paper presents a novel Riemannian conjugate gradient method for the Kohn-Sham energy minimization problem in density functional theory (DFT), with a focus on non-metallic crys…