Error Estimates for the Nearly Singular Momentum-Space Bound-State Equations
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 si...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/2560239 |
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| _version_ | 1841524503410114560 |
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| author | Yang-Hong Zhang Jiao-Kai Chen |
| author_facet | Yang-Hong Zhang Jiao-Kai Chen |
| author_sort | Yang-Hong Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f3883c46f595437eb5208dfac5f1ad41 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-f3883c46f595437eb5208dfac5f1ad412025-02-03T05:53:10ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/25602392560239Error Estimates for the Nearly Singular Momentum-Space Bound-State EquationsYang-Hong Zhang0Jiao-Kai Chen1School of Physics and Information Engineering, Shanxi Normal University, Linfen 041004, ChinaSchool of Physics and Information Engineering, Shanxi Normal University, Linfen 041004, ChinaWe 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.http://dx.doi.org/10.1155/2020/2560239 |
| spellingShingle | Yang-Hong Zhang Jiao-Kai Chen Error Estimates for the Nearly Singular Momentum-Space Bound-State Equations Advances in Mathematical Physics |
| title | Error Estimates for the Nearly Singular Momentum-Space Bound-State Equations |
| title_full | Error Estimates for the Nearly Singular Momentum-Space Bound-State Equations |
| title_fullStr | Error Estimates for the Nearly Singular Momentum-Space Bound-State Equations |
| title_full_unstemmed | Error Estimates for the Nearly Singular Momentum-Space Bound-State Equations |
| title_short | Error Estimates for the Nearly Singular Momentum-Space Bound-State Equations |
| title_sort | error estimates for the nearly singular momentum space bound state equations |
| url | http://dx.doi.org/10.1155/2020/2560239 |
| work_keys_str_mv | AT yanghongzhang errorestimatesforthenearlysingularmomentumspaceboundstateequations AT jiaokaichen errorestimatesforthenearlysingularmomentumspaceboundstateequations |