Optimal error estimates of BDF2 finite element method for the two-dimensional time-dependent Schrödinger equation

In this paper, we investigate the two-step backward differentiation formula (BDF2) finite element method for a two-dimensional time-dependent Schrödinger equation. By applying the finite element method for space discretization and the BDF2 for time discretization, we derive a fully discrete scheme f...

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Dades bibliogràfiques

Autors principals:	Zhikun Tian, Jianyun Wang, Zixin Zhong
Format:	Artigo
Idioma:	Inglês
Publicat:	Elsevier 2025-11-01
Col·lecció:	Results in Applied Mathematics
Matèries:	Schrödinger equation Two-step backward differentiation formula Finite element method
Accés en línia:	http://www.sciencedirect.com/science/article/pii/S259003742500127X
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