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Use of fast Fourier transforms for solving partial differential equations in physics
The use of fast Fourier techniques for the direct solution of an important class of elliptic, parabolic, and hyperbolic partial differential equations in two dimensions is described. Extensions to higher-order and higher-dimension equations as well as to integrodifferential equations are presented,...
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| Lenguaje: | eng |
| Publicado: |
1972
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| Acceso en línea: | https://dx.doi.org/10.1016/0021-9991(72)90005-8 http://cds.cern.ch/record/875704 |
| _version_ | 1780907871954796544 |
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| author | Le Bail, R C |
| author_facet | Le Bail, R C |
| author_sort | Le Bail, R C |
| collection | CERN |
| description | The use of fast Fourier techniques for the direct solution of an important class of elliptic, parabolic, and hyperbolic partial differential equations in two dimensions is described. Extensions to higher-order and higher-dimension equations as well as to integrodifferential equations are presented, and several numerical examples with their resulting precision and timing are reported. (12 refs). |
| id | cern-875704 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1972 |
| record_format | invenio |
| spelling | cern-8757042019-09-30T06:29:59Zdoi:10.1016/0021-9991(72)90005-8http://cds.cern.ch/record/875704engLe Bail, R CUse of fast Fourier transforms for solving partial differential equations in physicsMathematical Physics and MathematicsThe use of fast Fourier techniques for the direct solution of an important class of elliptic, parabolic, and hyperbolic partial differential equations in two dimensions is described. Extensions to higher-order and higher-dimension equations as well as to integrodifferential equations are presented, and several numerical examples with their resulting precision and timing are reported. (12 refs).CERN-SI-Int-DL-71-7oai:cds.cern.ch:8757041972 |
| spellingShingle | Mathematical Physics and Mathematics Le Bail, R C Use of fast Fourier transforms for solving partial differential equations in physics |
| title | Use of fast Fourier transforms for solving partial differential equations in physics |
| title_full | Use of fast Fourier transforms for solving partial differential equations in physics |
| title_fullStr | Use of fast Fourier transforms for solving partial differential equations in physics |
| title_full_unstemmed | Use of fast Fourier transforms for solving partial differential equations in physics |
| title_short | Use of fast Fourier transforms for solving partial differential equations in physics |
| title_sort | use of fast fourier transforms for solving partial differential equations in physics |
| topic | Mathematical Physics and Mathematics |
| url | https://dx.doi.org/10.1016/0021-9991(72)90005-8 http://cds.cern.ch/record/875704 |
| work_keys_str_mv | AT lebailrc useoffastfouriertransformsforsolvingpartialdifferentialequationsinphysics |