Mari Paz Calvo |
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Word series and mollified methods for highly oscillatory problems
abstract:
B-series have played a most important role in the analysis of numerical integrators, particularly so in the context of geometric integration. Word series are a recently introduced alternative. They possess a narrower scope of application but are easier to handle than B-series. In the talk I shall provide some general background on word series and present some applications, including the analysis of mollified methods for highly oscillatory problems.