Error Estimates for the Nearly Singular Momentum-Space Bound-State Equations

Autor: Yang-Hong Zhang, Jiao-Kai Chen
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2020/2560239
Popis: We present errors of quadrature rules for the nearly singular integrals in the momentum-space bound-state equations and give the critical value of the nearly singular parameter. We give error estimates for the expansion method, the Nyström method, and the spectral method which arise from the near singularities in the momentum-space bound-state equations. We show the relations amongst the near singularities, the odd phenomena in the eigenfunctions, and the unreliability of the numerical solutions.
Databáze: Directory of Open Access Journals
Externí odkaz: