Borel-Laplace summation method used as time integration scheme
A time integration method for the resolution of ordinary and partial differential equations is proposed. The method consists in computing a formal solution as a (eventually divergent) time series. Next, the Borel resummation method is applied to deduce an (sectorial) an...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2014-09-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201445033 |
| Summary: | A time integration method for the resolution of ordinary and partial differential
equations is proposed. The method consists in computing a formal solution as a (eventually
divergent) time series. Next, the Borel resummation method is applied to deduce an
(sectorial) analytical solution. The speed and spectral properties of the scheme are
analyzed through some examples. Applications to fluid mechanics are presented. |
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| ISSN: | 2267-3059 |