Research interests:

  • Numerical Methods for Uncertainty Quantification (UQ)
  • PDE-based Bayesian Inverse Problems
  • Optimal Experimental Design
  • Multilevel Monte-Carlo Methods
  • UQ in Computational Science and Engineering
  • Applications in nanoelectronics, tomographic imaging, biology and medicine

 

Wissenschaftlichen Publikationen

Preprints

  1. Leila Taghizadeh and Ansgar Jüngel. Bayesian inversion for the identification of the doping profile in unipolar semiconductor devices, preprint, 2024.
  2. Manuel Gehmeyr, Leila Taghizadeh, Philipp Haim, Lukas Platz, Dominik Jüstel and Elisabeth Ullmann. Bayesian reconstruction for multi-spectral optoacoustic tomography, preprint, 2023.

Journal Publications

  1. Beatrix Rahnsch and Leila Taghizadeh. Network-based uncertainty quantification for mathematical models in epidemiology, Journal of Theoretical Biology, In press, 2023.
  2. Ahmad Karimi, Leila Taghizadeh and Clemens Heitzinger. Optimal Bayesian experimental design for electrical impedance tomography in medical imaging. Computer Methods in Applied Mechanics and Engineering (CMAME), 373:113489/1-17, 2021.
  3. Leila Taghizadeh, Ahmad Karimi, and Clemens Heitzinger. Uncertainty quantification in epidemiological models for the COVID-19 pandemic. Computers in Biology and Medicine, 125:104011/1-11, 2020.
  4. Leila Taghizadeh, Ahmad Karimi, Benjamin Stadlbauer, Wolfgang J. Weninger, Eugenijus Kaniusas and Clemens Heitzinger. Bayesian inversion for electrical-impedance tomography in medical imaging using the nonlinear Poisson-Boltzmann equation. Computer Methods in Applied Mechanics and Engineering (CMAME), 365:112959/1-16, 2020.
  5. Leila Taghizadeh, Ahmad Karimi, Elisabeth Presterl, and Clemens Heitzinger. Bayesian inversion for a biofilm model including quorum sensing. Computers in Biology and Medicine, 117:103582/1-11, 2020.
  6. Benjamin Stadlbauer, Andrea Cossettini, Jose A. Morales E., Paolo Scarbolo, Leila Taghizadeh, Clemens Heitzinger and Luca Selmi. Bayesian estimation of physical and geometrical parameters for nanocapacitor array biosensors. Journal of Computational Physics, 397:108874/1-19, 2019.
  7. E.K. Lenzi, L.R. Evangelista, L. Taghizadeh, D. Pasterk, R.S. Zola, T. Sandev, C. Heitzinger, and I. Petreska. The reliability of Poisson-Nernst-Planck anomalous models for impedance spectroscopy. Journal of Physical Chemistry B, 123, 37, 7885-7892, 2019.
  8. Andrea Cossettini, Benjamin Stadlbauer, Jose A. Morales Escalante, Leila Taghizadeh, Luca Selmi, and Clemens Heitzinger. Determination of micro- and nano-particle properties by multi-frequency Bayesian methods and applications to nanoelectrode array sensors. 2019 IEEE SENSORS, 1-4, 2019.
  9. Leila Taghizadeh and Clemens Heitzinger. Existence and local uniqueness for the Stokes-Nernst-Planck-drift-diffusion-Poisson system modeling nanopore and nanowire sensors. Communications in Mathematical Sciences, 17(8):2089-2112, 2019.
  10. Chris Budd, Othmar Koch, Leila Taghizadeh and Ewa Barbara Weinmüller. Asymptotic properties of the space-time adaptive numerical solution of a nonlinear heat equation. Calcolo 55, no. 4:43, 2018.
  11. Amirreza Khodadadian, Leila Taghizadeh, and Clemens Heitzinger. Three-dimensional optimal multi-level Monte-Carlo approximation of the stochastic drift-diffusion-Poisson system in nanoscale devices. Journal of Computational Electronics, 17(1):76-89, 2018.
  12. Amirreza Khodadadian, Leila Taghizadeh, and Clemens Heitzinger. Optimal multilevel randomized quasi-Monte-Carlo method for the stochastic drift-diffusion-Poisson system. Computer Methods in Applied Mechanics and Engineering (CMAME), 329:480-497, 2018.
  13. Leila Taghizadeh, Amirreza Khodadadian and Clemens Heitzinger. The stochastic drift-diffusion-Poisson system for modeling nanowire and nanopore sensors. In P. Quintela et al., editors, Progress in Industrial Mathematics at ECMI 2016, volume 26, pages 309-317. Mathematics in Industry, Springer, 2017.
  14. Clemens Heitzinger and Leila Taghizadeh. Analysis of the drift-diffusion-Poisson-Boltzmann system for nanowire and nanopore sensors in the alternating-current regime. Communications in Mathematical Sciences, 15(8):2303-2325, 2017.
  15. Leila Taghizadeh, Amirreza Khodadadian and Clemens Heitzinger. The optimal multilevel Monte-Carlo approximation of the stochastic drift-diffusion-Poisson system. Computer Methods in Applied Mechanics and Engineering (CMAME), 318:739-761, 2017.