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On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind
A procedure, using spine functions of degree m, deficiency k-1, for obtaining approximate solutions to nonlinear Volterra integral equations of the second kind is presented. The paper is an investigation of the numerical stability of the procedure for various values of m and k. (5 refs).
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| Lenguaje: | eng |
| Publicado: |
1974
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1007/BF01932942 http://cds.cern.ch/record/873636 |
| _version_ | 1780907700446560256 |
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| author | El-Tom, M E A |
| author_facet | El-Tom, M E A |
| author_sort | El-Tom, M E A |
| collection | CERN |
| description | A procedure, using spine functions of degree m, deficiency k-1, for obtaining approximate solutions to nonlinear Volterra integral equations of the second kind is presented. The paper is an investigation of the numerical stability of the procedure for various values of m and k. (5 refs). |
| id | cern-873636 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1974 |
| record_format | invenio |
| spelling | cern-8736362019-09-30T06:29:59Zdoi:10.1007/BF01932942http://cds.cern.ch/record/873636engEl-Tom, M E AOn the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kindEngineeringA procedure, using spine functions of degree m, deficiency k-1, for obtaining approximate solutions to nonlinear Volterra integral equations of the second kind is presented. The paper is an investigation of the numerical stability of the procedure for various values of m and k. (5 refs).oai:cds.cern.ch:8736361974 |
| spellingShingle | Engineering El-Tom, M E A On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind |
| title | On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind |
| title_full | On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind |
| title_fullStr | On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind |
| title_full_unstemmed | On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind |
| title_short | On the numerical stability of spline function approximations to solutions of Volterra integral equations of the second kind |
| title_sort | on the numerical stability of spline function approximations to solutions of volterra integral equations of the second kind |
| topic | Engineering |
| url | https://dx.doi.org/10.1007/BF01932942 http://cds.cern.ch/record/873636 |
| work_keys_str_mv | AT eltommea onthenumericalstabilityofsplinefunctionapproximationstosolutionsofvolterraintegralequationsofthesecondkind |