Publications in Journals

  1. 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. (DOI)
  2. Leila Taghizadeh, Ahmad Karimi, and Clemens Heitzinger. Analysis of the stochastic drift-diffusion-Poisson system with applications in nanoscale devices. pages 1-22, 2020. Submitted for publication.
  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. (DOI)
  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. (DOI)
  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. (DOI)
  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. (DOI)
  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. (DOI)
  8. 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. (DOI)
  9. 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. (DOI)
  10. 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. (DOI)
  11. 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. (DOI)
  12. 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. (DOI)
  13. 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. (DOI)

Publications in Refereed Conference Proceedings

  1. Clemens Heitzinger, Daniel Pasterk, and Leila Taghizadeh. Computational Bayesian inversion for nanocapacitor-array biosensors and electrical-impedance tomography. In Proc. SIAM Conference on Uncertainty Quantification (UQ 2020), Munich, Germany, 24-27 March 2020. Conference canceled due to coronavirus pandemic.
  2. Ervin K. Lenzi, Luiz R. Evangelista, Leila Taghizadeh, Daniel Pasterk, Rafael S. Zola, Trifce Sandev, Clemens Heitzinger, and Irina Petreska. Interpreting impedance spectroscopy data by using Poisson-Nernst-Planck anomalous models. In Proc. DPG (Deutsche physikalische Gesellschaft) Spring Meeting of the Condensed Matter Section, page DY 56.5, Dresden, Germany, 15-20 March 2020. Conference canceled due to coronavirus pandemic.
  3. 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. In Proc. IEEE Sensors 2019, page 1--4, Montreal, Canada, 27-30 October 2019.
  4. Leila Taghizadeh and Clemens Heitzinger. Bayesian inference for two inverse problems in tomography and biofilms. In Proc. International Conference on Scientific Computation and Differential Equations 2019 (SciCADE 2019), page 280, Innsbruck, Austria, 22-26 July 2019.
  5. Clemens Heitzinger, Amirreza Khodadadian, Daniel Pasterk, and Leila Taghizadeh. Modeling and simulation of nanotechnological sensors. In Proc. 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), page 309, Valencia, Spain, 15-19 July 2019.
  6. Clemens Heitzinger and Leila Taghizadeh. Bayesian PDE inversion in electrical-impedance tomography. In Proc. 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), page 352, Valencia, Spain, 15-19 July 2019.
  7. Leila Taghizadeh and Clemens Heitzinger. Bayesian analysis for Poisson-Boltzmann equation modeling electrical impedance tomography devices. In Proc. 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), page 422, Vienna, Austria, 18-22 February 2019.
  8. Clemens Heitzinger, Jose Morales Escalante, Benjamin Stadlbauer, and Leila Taghizadeh. Bayesian estimation and machine learning: current problems and challenges with examples in electrical impedance tomography and nanosensors. In Proc. Workshop on Research Challenges and Opportunities at the interface of Machine Learning and Uncertainty Quantification, page online, University of Southern California, Los Angeles, CA, USA, 4-6 June 2018.
  9. Benjamin Stadlbauer, Leila Taghizadeh, Jose Morales Escalante, Clemens Heitzinger, Andrea Cossettini, and Luca Selmi. Bayesian estimation for transport equations for nanocapacitors. In Proc. SIAM Conference on Uncertainty Quantification (UQ 2018), pages 69-70, Garden Grove, CA, USA, 16-19 April 2018.
  10. Andrea Cossettini, Paolo Scarbolo, Jose Morales Escalante, Benjamin Stadlbauer, Naseer Muhammad, Leila Taghizadeh, Clemens Heitzinger and Luca Selmi. Calibration, compensation, parameter estimation, and uncertainty quantification for nanoelectrode array biosensors. In Proc. SIAM Conference on Uncertainty Quantification (UQ 2018), page 81, Garden Grove, CA, USA, 16-19 April 2018.
  11. Leila Taghizadeh, Jose Morales Escalante, Benjamin Stadlbauer, and Clemens Heitzinger. Bayesian estimation for a tomography problem. In Proc. SIAM Conference on Uncertainty Quantification (UQ 2018), page 138, Garden Grove, CA, USA, 16-19 April 2018.
  12. 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.
  13. Leila Taghizadeh, Amirreza Khodadadian, and Clemens Heitzinger. Optimal multi-level randomized-quasi-Monte-Carlo methods for the stochastic drift-diffusion-Poisson system and for stochastic homogenization. In Proc. International Conference on Scientific Computation and Differential Equations (SciCADE 2017), page 129, Bath, UK, 11-15 Sep 2017.
  14. Leila Taghizadeh, Amirreza Khodadadian, Stefan Rigger, and Clemens Heitzinger. Optimal multi-level Monte-Carlo methods for the stochastic drift-diffusion-Poisson system and for stochastic homogenization. In Proc. 14th US National Congress on Computational Mechanics (USNCCM), page 321, Montreal, Canada, 17-20 July 2017.
  15. Amirreza Khodadadian, Leila Taghizadeh, and Clemens Heitzinger. Optimal multi-level Monte Carlo method for the stochastic drift-diffusion-Poisson system. In Proc. 13th Austrian Numerical Analysis Day 2017, page 16, Salzburg, Austria, 4-5 May 2017.
  16. Clemens Heitzinger, Amirreza Khodadadian, Gudmund Pammer, Stefan Rigger, and Leila Taghizadeh. Optimal numerical methods for stochastic PDEs. In Proc. SIAM Conference on Computational Science and Engineering (CSE 2017), page 129, Atlanta, GA, USA, 27 February – 3 March 2017.
  17. Clemens Heitzinger, Caroline Geiersbach, and Leila Taghizadeh. Optimal numerical approaches to the stochastic homogenization of elliptic equations and to the stochastic drift-diffusion-Poisson system. In Proc. SIAM Conference on Mathematical Aspects of Materials Science (MS16), page 136, Philadelpha, PA, USA, 8-12 May 2016.
  18. Leila Taghizadeh and Clemens Heitzinger. Optimal method for calculating solutions of the stochastic drift-diffusion-Poisson system. In Proc. SIAM Conference on Uncertainty Quantification 2016 (SIAM UQ16), page 9, Lausanne, Switzerland, 5-8 April 2016.
  19. Leila Taghizadeh, Amirreza Khodadadian, and Clemens Heitzinger. Stochastic modeling of dopant atoms in nanoscale transistors using multi-level Monte Carlo. In Proc. SIAM Conference on Uncertainty Quantification 2016 (SIAM UQ16), page 9, Lausanne, Switzerland, 5-8 April 2016.
  20. Leila Taghizadeh, Amirreza Khodadadian, Caroline Geiersbach, and Clemens Heitzinger. Optimal multi-level Monte-Carlo method for a system of stochastic PDEs. In Proc. SIAM Conference on the Analysis of Partial Differential Equations (SIAM PD15), pages 76-77, Scottsdale, AZ, USA, 7-10 December 2015.
  21. Leila Taghizadeh, Caroline Geiersbach, and Clemens Heitzinger. Optimal approach for the numerical stochastic homogenization of elliptic problems. In Proc. SIAM Conference on Analysis of Partial Differential Equations (SIAM PD15), pages 101-102, Scottsdale, AZ, USA, 7-10 December 2015.
  22. Clemens Heitzinger and Leila Taghizadeh. The stochastic drift-diffusion-Poisson system for modeling nanoscale devices and a multi-level Monte-Carlo method. In Proc. 24th International Conference on Transport Theory (ICTT 2015), pages 115-116, Taormina, Italy, 7-11 September 2015.
  23. Clemens Heitzinger and Leila Taghizadeh. Existence and uniqueness for the Stokes-Nernst- Planck-drift-diffusion-Poisson system for modeling nanowire sensors and nanopores. In Proc. 24th International Conference on Transport Theory (ICTT 2015), pages 117-118, Taormina, Italy, 7-11 September 2015.