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On spline function approximations to the solution of Volterra integral equations of the first kind
A procedure, using spline functions of degree m, for the solution of linear Volterra integral equations of the first kind is presented. The method produces an approximate solution of class C/sup m-1/, is of order (m+1) and is shown to be numerically stable for m<or=4. (10 refs).
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| Lenguaje: | eng |
| Publicado: |
1974
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| Acceso en línea: | https://dx.doi.org/10.1007/BF01933228 http://cds.cern.ch/record/873549 |
| _version_ | 1780907689761570816 |
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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 spline functions of degree m, for the solution of linear Volterra integral equations of the first kind is presented. The method produces an approximate solution of class C/sup m-1/, is of order (m+1) and is shown to be numerically stable for m<or=4. (10 refs). |
| id | cern-873549 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1974 |
| record_format | invenio |
| spelling | cern-8735492019-09-30T06:29:59Zdoi:10.1007/BF01933228http://cds.cern.ch/record/873549engEl-Tom, M E AOn spline function approximations to the solution of Volterra integral equations of the first kindEngineeringA procedure, using spline functions of degree m, for the solution of linear Volterra integral equations of the first kind is presented. The method produces an approximate solution of class C/sup m-1/, is of order (m+1) and is shown to be numerically stable for m<or=4. (10 refs).oai:cds.cern.ch:8735491974 |
| spellingShingle | Engineering El-Tom, M E A On spline function approximations to the solution of Volterra integral equations of the first kind |
| title | On spline function approximations to the solution of Volterra integral equations of the first kind |
| title_full | On spline function approximations to the solution of Volterra integral equations of the first kind |
| title_fullStr | On spline function approximations to the solution of Volterra integral equations of the first kind |
| title_full_unstemmed | On spline function approximations to the solution of Volterra integral equations of the first kind |
| title_short | On spline function approximations to the solution of Volterra integral equations of the first kind |
| title_sort | on spline function approximations to the solution of volterra integral equations of the first kind |
| topic | Engineering |
| url | https://dx.doi.org/10.1007/BF01933228 http://cds.cern.ch/record/873549 |
| work_keys_str_mv | AT eltommea onsplinefunctionapproximationstothesolutionofvolterraintegralequationsofthefirstkind |