3 papers
math.NA2026
Model Order Reduction for Parametric Hermitian Eigenvalue Problems: Local Acceleration with Taylor-Reduced Basis Method
Benjamin Stamm, Zhuoyao Zeng
This paper is concerned with the Taylor-reduced basis method (Taylor-RBM) for the efficient approximation of eigenspaces of large scale parametric Hermitian matrices. The Taylor-RB…
math.NA2026
Certified Model Order Reduction for parametric Hermitian eigenproblems
Mattia Manucci, Benjamin Stamm, Zhuoyao Zeng
This article deals with the efficient and certified numerical approximation of the smallest eigenvalue and the associated eigenspace of a large-scale parametric Hermitian matrix. F…
math-ph2025
Lieb-Thirring inequalities for the shifted Coulomb Hamiltonian
Thiago Carvalho Corso, Timo Weidl, Zhuoyao Zeng
In this paper we prove sharp Lieb-Thirring (LT) inequalities for the family of shifted Coulomb Hamiltonians. More precisely, we prove the classical LT inequalities with the semi-cl…