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Felipe Eduardo Ponce Vanegas

Postdoc Fellow

T +34 946 567 842
F +34 946 567 842
E fponce@bcamath.org

Information of interest

I am an applied mathematician, and I work in mathematical methods for advance manufacturing under the umbrella of the Artificial Intelligent Manufacturing and Sustainability (AIMS) unit. I collaborate with engineers at the Aeronautics Advanced Manufacturing Center (CFAA, spanish acronym) in Zamudio.

I am interested in monitoring of metal cutting processes, which entails understanding the dynamics of metal cutting and modelling of machine elements performance. To a lower degree I am interested in FEM simulations.

  • The Tustin Method for approximating eigenvalues of delay systems 

    Irastorza, M.; Ponce Vanegas, F.Autoridad BCAM (2024)
    Numerical approximation of the eigenvalues of Delay Differential Equations (DDEs) is an active field of research due to its impact in the modelling of several processes of industrial interest. In this work we introduce the ...
  • Static and Dynamical, Fractional Uncertainty Principles 

    Kumar, S.; Ponce Vanegas, F.Autoridad BCAM; Vega, L.Autoridad BCAM (2021-03)
    We study the process of dispersion of low-regularity solutions to the Schrödinger equation using fractional weights (observables). We give another proof of the uncertainty principle for fractional weights and use it to get ...
  • Convergence over fractals for the Schrödinger equation 

    Lucà, R.Autoridad BCAM; Ponce Vanegas, F.Autoridad BCAM (2021-01)
    We consider a fractal refinement of the Carleson problem for the Schrödinger equation, that is to identify the minimal regularity needed by the solutions to converge pointwise to their initial data almost everywhere with ...
  • A Bilinear Strategy for Calderón’s Problem 

    Ponce Vanegas, F.Autoridad BCAM (2020-05)
    Electrical Impedance Imaging would suffer a serious obstruction if two different conductivities yielded the same measurements of potential and current at the boundary. The Calderón’s problem is to decide whether the ...
  • A Bilinear Strategy for Calderón's Problem 

    Ponce Vanegas, F.Autoridad BCAM (2019-08)
    Electrical Impedance Imaging would suffer a serious obstruction if for two different conductivities the potential and current measured at the boundary were the same. The Calder\'on's problem is to decide whether the ...

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