Publications

2025

1. Journal

   Mathematical analysis of an observer for solving inverse source wave problem

   Tiphaine Delaunay, Sébastien Imperiale, and Philippe Moireau

   Inverse problem and imaging, 2025

   Bib PDF

   @article{delaunay2025mathematical,
     title = {Mathematical analysis of an observer for solving inverse source wave problem},
     author = {Delaunay, Tiphaine and Imperiale, Sébastien and Moireau, Philippe},
     year = {2025},
     journal = {Inverse problem and imaging},
     doi = {10.3934/ipi.2025043},
   }

2. Journal

   Solving inverse source wave problem -from carleman estimates to observer design

   Muriel Boulakia, Maya de Buhan, Tiphaine Delaunay, Sébastien Imperiale, and Philippe Moireau

   Mathematical Control and Related Fields, 2025

   Bib PDF

   @article{delaunay2025solving,
     title = {Solving inverse source wave problem -from carleman estimates to observer design},
     author = {Boulakia, Muriel and {de Buhan}, Maya and Delaunay, Tiphaine and Imperiale, Sébastien and Moireau, Philippe},
     year = {2025},
     journal = {Mathematical Control and Related Fields},
     doi = {10.3934/mcrf.2025007},
   }

3. Journal

   Deciphering tumor response to propranolol in angiosarcomas by mathematical modeling and data assimilation

   Annabelle Collin, Tiphaine Delaunay, Christèle Etchegaray, Faiza Laanani, François Moisan, and 1 more author

   In preparation, 2025

   Bib

   @article{delaunay2025deciphering,
     title = {Deciphering tumor response to propranolol in angiosarcomas by mathematical modeling 
     and data assimilation},
     author = {Collin, Annabelle and Delaunay, Tiphaine and Etchegaray, Christèle and Laanani, Faiza and Moisan, François and Pechtimaldjian, Léa},
     year = {2025},
     journal = {In preparation},
   }

2024

1. Journal

   Uniform boundary stabilization of a high-order finite element space discretization of the 1-d wave equation

   Tiphaine Delaunay, Sébastien Imperiale, and Philippe Moireau

   Numerische Mathematik, 2024

   Bib PDF

   @article{delaunay2024uniform,
     title = {Uniform boundary stabilization of a high-order finite element space discretization of the 1-d wave equation},
     author = {Delaunay, Tiphaine and Imperiale, Sébastien and Moireau, Philippe},
     year = {2024},
     journal = {Numerische Mathematik},
     doi = {10.1007/s00211-024-01440-9},
   }

2023

1. PhD thesis

   Adaptative observers for wave equations and associated discretizations: formulations and analysis

   Tiphaine Delaunay

   Institut Polytechnique de Paris, 2023

   Bib PDF

   @phdthesis{delaunay2023adaptative,
     title = {Adaptative observers for wave equations and associated discretizations: formulations and analysis},
     author = {Delaunay, Tiphaine},
     year = {2023},
     school = {Institut Polytechnique de Paris},
   }