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Hi, I am Mai

Ngoc Mai Monica Huynh

Post-doctoral researcher at University of Pavia

I’m a post-doctoral research fellow at the University of Pavia, working on the development of efficient and scalable preconditioners for cardiac electrophysiology at a cellular scale within the European project MICROCARD.

Finite elements
Parallel computing
Nonlinear solvers
Domain decomposition
BDDC, FETI-DP preconditioners
Cardiac electrophysiology

Experiences

Besides my daily desk time, I try to actively promote initiatives among young researchers, aiming to build a fruitful network for the next generation of scientists.

I have organized first-hand three young international workshops, focusing on cardiac modeling as well as more generic industrial applications (2022 and 2023).

During my doctoral training, I had the opportunity to coordinate PhD informal seminars and to take part in bigger organizations such as the VPHi PhD student committee, organizing and chairing online webinars.

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Post-doctoral researcher
Università di Pavia

Oct 2021 - Present, Pavia, Italy

  • Design, theoretical analysis and numerical testing of efficient solvers and preconditioners for cell-by-cell models in cardiac electrophysiology MICROCARD project
  • Design and numerical testing of nonlinear solvers for cardiac electrophysiology
  • Teaching assistant and tutoring of undergraduate and graduate courses
PhD fellow
Università di Pavia

Oct 2018 - Sept 2021, Pavia, Italy

  • Design, theoretical analysis and numerical testing of BDDC and FETI-DP Newton-Krylov solvers in cardiac electrophysiology
  • Teaching assistant and tutoring of undergraduate and graduate courses
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Education
Università di Pavia - Università della Svizzera Italiana.
2018 - 2021
Joint Ph.D in Computational Mathematics and Decision Sciences
Thesis: Newton-Krylov Dual-Primal methods for fully implicit time discretizations in cardiac electrophysiology
Advisor(s): prof. Simone Scacchi, prof. Luca Pavarino
Extracurricular Activities:
  • Data Science - Metodi Informatici per la Gestione dei dati in Biomedicina  Università di Pavia. Feb 22-26, 2021
  • FoMICS Winter School on Cardiac Simulations 2020  Online. Nov 30 - Dec 4, 2020
  • Summer School in Computational Physiology SSCP 2019  Simula Laboratory (Norway), UCSD (USA). June-Aug, 2019
  • EPSRC–InFoMM UK Graduate Modelling Camp  University of Oxford (UK). Apr 2-5, 2019
    • Università degli Studi di Milano.
    2015 - 2018
    M.Sc. in Mathematics
    Grade: 110 cum laude out of 110
    Thesis: Non-linear FETI-DP methods for reaction-diffusion systems
    Advisor(s): prof. Simone Scacchi
    Extracurricular Activities:
  • ECMI Modelling Week 2018  University of Novi Sad. July 15-22, 2018
    • Università degli Studi di Milano.
    2011 - 2015
    B.Sc. in Mathematics
    ISSM Conservatorio "G.Cantelli", Novara.
    2006 - 2013
    Diploma in classical guitar

    Research

    My current research interests lay between classical Numerical Analysis, computational electrocardiology and High-Performance computing.

    The project I’m working on focuses on the development of efficient, scalable and robust preconditioners for cardiac electrophysiology at a cellular level, where the models are obtained by a cell-by-cell coupling. The algebraic systems resulting from discretizations of such models present very high dimensionalities, needing efficient numerical ways for their solution.

    I’m also interested in parallel nonlinear solvers, which provide valid and fast alternatives for the solution of nonlinear systems. This interest has arisen by chance during coffee breaks with my amazing collegue Nicolás Barnafi and has grown really quick ever since.

    Here you can find a list of my recent works and preprints.

    IN PREPARATION
    1. NMM Huynh, LF Pavarino and S Scacchi, GDSW preconditioners for composite DG discretizations of parabolic problems.
    JOURNAL ARTICLES
    1. NMM Huynh, Convergence analysis for virtual element discretizations of the cardiac Bidomain model. J. Sci. Comput., 98(37) (2024).
    2. NA Barnafi, NMM Huyhn, LF Pavarino and S Scacchi, Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations. arXiv, submitted (2023).
    3. NMM Huynh, F Chegini, LF Pavarino, M Weiser and S Scacchi, Convergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model. SIAM J. Sci. Comput., 45(6), pp. A2836-A2857 (2023).
    4. NMM Huynh, Newton-Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the Bidomain model. Numerische Mathematik, 152(4), pp. 841-879 (2022).
    5. NMM Huynh, LF Pavarino and S Scacchi, Scalable and robust dual-primal Newton-Krylov deluxe solvers for cardiac electrophysiology with biophysical ionic models. Vietnam J. Math., 50(4), pp. 1029-1052 (2022).
    6. NMM Huynh, LF Pavarino and S Scacchi, Parallel Newton-Krylov-BDDC and FETI-DP deluxe solvers for implicit time discretizations of the cardiac Bidomain equations. SIAM J. Sci. Comput., 44(2), pp. B224-B249 (2022).
    CONFERENCE PROCEEDINGS
    1. F Chegini, A Frohely, NMM Huynh, L Pavarino, M Potse, S Scacchi and M Weiser, Efficient numerical methods for simulating cardiac electrophysiology with cellular resolution. In X International Conference on Computational Methods for Coupled Problems in Science and Engineering COUPLED PROBLEMS 2023 (2023).
    2. NA Barnafi, NMM Huynh, LF Pavarino and S Scacchi, Parallel nonlinear solvers in computational cardiac electrophysiology. In IFAC-PapersOnLine, 50.20 (2022): 187-192.
    3. NMM Huynh, LF Pavarino and S Scacchi, Dual-primal preconditioners for Newton-Krylov solvers for the cardiac Bidomain model. In Domain Decomposition Methods in Science and Engineering XXVI, pp. 689-696 (2022).
    4. N Huynh, L Pavarino and S Scacchi, Scalable Newton-Krylov-BDDC and FETI-DP deluxe solvers for decoupled cardiac reaction-diffusion models. In 14th WCCM-ECCOMAS Congress 2020, vol. 400 (2021).
    PhD THESIS
    1. NMM Huynh, Newton-Krylov Dual-Primal methods for fully implicit time discretizations in cardiac electrophysiology, PhD thesis (2021).

    Conferences

    Upcoming
    1. Preconditioned solvers for composite DG discretizations of cardiac cell-by-cell models. WCCM 2024 - PANACM 2024. Vancouver, BC, Canada (2024).
    2. Cardiac electrophysiology at microscopic level: scalable preconditioners and parallel solvers. ECCOMAS 2024. Lisbon, Portugal (2024).
    3. Tailoring preconditioners for enhanced efficiency in cardiac modeling: insights from Domain Decomposition. INDAM workshop "Mathematical and Numerical Modeling of the Cardiovascular System". Rome, Italy (2024).
    Conference talks
    1. Scalable multilevel preconditioners for hybrid-DG discretizations of nonlinear cell-by-cell cardiac models. ICIAM 2023. Tokyo, Japan (2023).
    2. Scalable BDDC preconditioners for composite DG discretizations of cardiac microscopic models. ECCOMAS Young Investigator Conference 2023. Porto, Portugal (2023).
    3. Robust preconditioned solvers for cardiac electrical models. M2P 2023. Taormina, Italy (2023).
    4. BDDC preconditioners for hybrid discontinuous galerkin discretizations in cardiac electrophysiology. SIAM CSE23. Amsterdam, Netherlands (2023).
    5. Efficient nonlinear solvers and domain decomposition preconditioners for cardiac reaction-diffusion equations. 5th AfriComp. Cape Town, South Africa (2022).
    6. Efficient and robust parallel solvers for cardiac reaction-diffusion models. WCCM-APCOM YOKOHAMA. Virtual congress (2022).
    7. Parallel nonlinear solvers in computational cardiac electrophysiology. MATHMOD 2022. Vienna, Austria (2022).
    8. Scalable and parallel non-linear solvers for the cardiac Bidomain system. First UMI meeting of PhD students. Padova, Italy (2022).
    9. Alternative parallel nonlinear solvers for cardiac reaction-diffusion models. COLIBRI Focus Workshop. Graz, Austria (2022).
    10. Newton-Krylov-BDDC solvers for implicit discretizations of cardiac reaction-diffusion systems. SIMAI Congress 2020+2021. Parma, Italy (2021).
    11. BDDC and FETI-DP preconditioners for Newton-Krylov solvers for the cardiac Bidomain model. iHeart - Modelling the Cardiac Function. Online event (2021).
    12. Scalable Newton-Krylov solvers for cardiac reaction-diffusion models. 14th WCCM - ECCOMAS Congress 2020. Virtual congress (2021).
    13. Scalable Newton-Krylov dual-primal solvers for cardiac reaction-diffusion models. Domain Decomposition conference XXVI. Hong Kong, China (online event, 2020).
    14. Non-linear scalable solvers for cardiac reaction-diffusion models. iHeart - Modelling the Cardiac Function. Varese, Italy (2019).
    15. Non-linear scalable solvers for cardiac reaction-diffusion models. ICIAM 2019. Valencia, Spain (2019).
    Seminar talks
    1. Dual-primal domain decomposition preconditioners for composite discontinuous Galerkin discretizations. Simula Research. Oslo, Norway (2023).
    2. Scalable preconditioners for hybrid discontinuous Galerkin discretizations: an application to cardiac electrophysiology. Very informal seminars. Pavia, Italy (2022).
    3. Cardiac modelling, from micro to macroscales. Mini-course at 1st YAMC Conference. Santa Maria di Leuca, Italy (2021).
    4. An overview of Domain Decomposition methods for cardiac models. Workshop “Women in Maths”. Virtual event. May 12, 2020.
    5. Non-linear Domain Decomposition methods for cardiac models. Spring Workshop in Computational Mathematics, Statistics and Machine Learning. Pavia, Italy (2019).